Collapse Time Research Articles

Multifactorial Analysis of the Collapse Process of Double Bubbles Based on the Coarse-Grained Force Field in Free Domain.

Cavitation has been a hot research topic for scholars in various fields because of the intense mechanical, chemical, and thermal effects of bubble collapse. It forms a cluster of bubbles, and the bubbles will affect, interfere with, and couple with each other. To grasp the main factors affecting bubble collapse and the interbubble mechanism, the paper adopts the molecular dynamics simulation combined with the coarse-grained force field to study the collapse process of the double bubble model and takes the dynamic shape change of the bubbles, the local velocity distribution, and the local pressure distribution as the object to summarize the position angle, the shock velocity, and the bubble distance on the collapse law and the primary and secondary influence relationship and then reveals the interbubble mechanism. The results show that with the increase of the position angle, the collapse velocity of the right side of bubble A gradually decreases compared with the left side, while bubble B has the opposite characteristics. When the angle is 0°, bubble A and bubble B collapse at the same time and the direction of the jet is the same as the shock direction. With the increase of the position angle, the direction of the jet is biased toward bubble B. The collapse time of bubble B gradually increases with the increase in the bubble distance. Taking the collapse time as the evaluation standard, the relationship between the three factors is shock velocity (u) > position angle (θ) > bubble distance (L). In this paper, it perfects the cavitation theory and provides technical support for the efficient application of hydrodynamic cavitation technology.

Simulation analysis of coupling mechanism between transient flow field characteristics of bubble collapse and metal deformation based on surface micromorphology

In the process of modifying titanium alloy oral implants using cavitation water jet, the collapse of bubbles releases significant energy. This phenomenon is accompanied by micro-jets and shock waves, which induce changes in the three-dimensional microscopic morphology of the implant surface. The loose and porous surface of the implant will increase the adhesion area of the cells, which is more conducive to the combination of the oral implant with the surrounding bone tissue. In order to explore the coupling mechanism between the instantaneous energy of bubble collapse and the surface deformation of titanium metal, based on different flow field and solid field model parameters, the numerical analysis software Ansys and the fluid-structure coupling simulation method are used to establish the numerical simulation model of single bubble collapse on the near curved wall. In order to explore the coupling mechanism between the instantaneous energy of bubble collapse and the surface deformation of titanium metal, the bubble growth process is ignored. Based on different flow field and solid field model parameters, this paper adopts the numerical analysis software Ansys and the fluid-structure coupling simulation method to establish the numerical simulation model of single bubble collapse on the near curved wall. The effects of flow field parameters and wall morphology on the transient flow field of bubble collapse and the effect of metal surface modification are revealed. The results show that when the initial bubble diameter is 180 μm, the instantaneous collapse high pressure reaches 7.24 GPa, and the maximum stress on the titanium surface is 689 MPa, which is 1.57 times higher than that under the bubble diameter of 60 μm. When the bubble collapses away from the wall, due to the weakened constraint of the wall, more intense energy is released, but the energy decays rapidly in the propagation process, and the energy loss when it reaches the wall is more serious. In this paper, the surface micromorphology is simplified into a near-curved shape. After the modification, the flow obstruction on the near-curved concave wall inhibits bubble collapse, resulting in an increase in bubble collapse time. The stress and deformation caused by a single bubble collapse are concentrated within a radius of 1mm and a depth of 5 μm.

Three-dimensional Modeling of the Interaction of a Bubble pair with a Rigid Wall using Boundary Integral Method

This study examines the three-dimensional dynamics of two gas bubbles near a horizontal rigid wall, focusing on how inter-bubble distance affects their shape, size, and jet formation. The Boundary Integral Method (BIM) with a novel local smoothing technique is employed. Critical parameters including jet velocity, bubble centroid movement, bubble radius, and collapse time are computed for each bubble to understand their interaction dynamics comprehensively. The velocity vector field and pressure distribution surrounding the bubbles are analyzed, providing detailed insights into the fluid dynamics. The findings demonstrate that inter-bubble distance significantly influences their interaction and overall behavior. These results advance the understanding of bubble dynamics near rigid boundaries, with potential applications across various scientific and engineering disciplines.

Numerical nonlinear structural analysis of a timber truss roof under fire condition

As greenhouse gases continue to rise and environmental impact reduction gains global attention, timber buildings have emerged as a vital asset in the pursuit of a sustainable future. Throughout history, timber has been linked to fire as a flammable material, and there have been numerous reports of out-of-control fires that highlight the importance of fire safety. Hence, the primary goal of this study is to assess the fire resistance of a timber truss roof. As the temperature rises, changes occur in the physical and mechanical characteristics of the timber members, causing the loss of the strength capacity and rigidity of part or the entire truss. Therefore, this research aims to explore the SAFIR computer program to carry out the following analyses: thermal analysis of the timber cross-section; and the structure’s thermo-mechanical analysis. By conducting the first analysis, it becomes possible to calculate the temperature field of timber members’ cross-section in a transient regime, while also obtaining information about the degradation of material properties. The second analysis provides the displacements, internal forces, critical time, and/or critical temperature of the timber truss during collapse. The numerical results obtained here were compared and validated with those from the literature (experimental results). The truss collapse time predicted by SAFIR’s model was quite similar to the one observed in the laboratory. The developed numerical methodology allows for more realistic studies of timber elements or systems, enabling designs based on safety, economy, and sustainability.

Mental health and sleep routines: Uttarkashi, India tunnel collapse workers' experience.

Among the mental health outcomes and disaster types (determined by damage to life, property, long-term consequences, displacement, and unpredictability), floods are associated with anxiety and sleep problems, mudslides with anxiety and mood disturbance, volcanic eruptions with acute stress reactions, and earthquakes with anxiety, depression, and physical complaints. Disasters such as tunnel collapse are unique as it involves the healthy, without loss of personal property or displacement; hence, they can have very different health-related outcomes. In this study, we explore mental health and sleep-related issues in workers rescued from an under-construction collapsed tunnel trapped for 17 days. After the initial triage and stabilization and a detailed evaluation of their physical and mental health status, the participants responded to self-administered scales for assessing anxiety [Generalized Anxiety Disorder-7], depression [Patient Health Questionnaire-9], and insomnia [Insomnia Severity Index] in the local language (Hindi). A separate research team conducted open-ended interviews to explore daily routines and concerns, circadian rhythm, orientation to time and day of tunnel collapse to day of rescue events, and sleep routine (and other nuances such as sleep quality and daytime napping) during the 17 days of entrapment. Thirty-three workers consented and hailed from the northern and eastern states of India. They report a mix of hope and worry in the initial days. On the assessment of anxiety, depression, and sleep, only 2-5 scored above the cut-off value, and scales correlated with each other, though clinically it had no bearing. One-third were disoriented to the passage of time, which was related to difficulty falling asleep and more napping. Daytime napping was associated with delayed waketime. Those depressed had more difficulty in the onset, maintinance, and termination of sleep, and reduced total sleep time. Victims of tunnel collapse experience a different set of mental health and sleep problems compared to those reported in other disasters. The findings can partly be attributed to the disruption of light-dark cycles. As only a fraction develops these problems, there is a need for triaging while providing mental health and sleep-related interventions in such circumstances. Lastly, there is a need to establish a light-dark cycle to prevent disorientation among victims.

Theoretical investigation of the nonlinear dynamics for cavitation bubbles inside liquid drops

The cavitation bubble dynamics inside liquid drops governed by a Rayleigh–Plesset-like equation is investigated theoretically. A strict qualitative analysis is made to determine the bubble dynamic behaviors. Analytical expressions of the collapse times and analytical solutions of the governing equation are derived for different initial conditions. The validity of these analytical solutions is studied by testing numerical algorithms and/or experimental data. As applications of the analytical solutions, analytical expressions in parametric forms for the evolutions of bubble oscillation velocity, oscillation acceleration, kinetic energy, and potential energy are also obtained. Furthermore, the relevant nonlinear bubble dynamic characteristics and motion laws are also revealed based on the obtained results.

Evaluation of Degradation Mechanisms of Polymer Electrolyte Fuel Cell Using DEM Simulation

Polymer electrolyte fuel cells (PEFCs), which have various advantages such as high power output, high conversion efficiency, and low operating temperature, are expected to be applied to heavy-duty vehicles with a high environmental impact, and further performance and durability improvements are required for practical use. Currently, the degradation of power generation performance due to long-term operation is an issue in the practical application of PEFCs and it is considered that one of the causes of this degradation is the corrosion of the carbon support. However, the dynamic process of catalyst layer structure change due to CB particle corrosion has not yet been clarified, and the relationship between power generation performance change and catalyst layer microstructure has not been linked. It is also considered difficult to do so experimentally with the current state of the art. In this study, we focused on analyzing the dynamic structural change behavior of the catalyst layer due to corrosion of the carbon support by using numerical model simulation. By using the catalyst layer created by the numerical model, we simulated the power generation reaction and to identify the factors that cause the degradation of power generation performance.Discrete element method (DEM) was used to calculate the structure of catalyst layer by using carbon support, which is a branch-like aggregate of carbon black (CB) particles. The aggregate arrangement was determined based on the translational and rotational equations of motion for individual aggregates, elasticity between particles, and viscous damping1). Based on previous studies2) 3), the carbon corrosion reaction caused by the reaction between the products of the carbon surface reaction and the platinum oxidation reaction is considered, reflecting localized carbon corrosion within the catalyst layer. Also, we hypothesized that the porosity increases due to the shrinkage of CB particles in the early stage of corrosion, followed by a decrease in porosity and thickness due to the separation of the sintered parts of the CB particles that compose the aggregates. Furthermore, in this model, the fastening pressure is related to the timing of the structural collapse of the catalyst layer. Therefore, in this study, we performed calculations considering the neck breakdown of the aggregate due to the fastening pressure. The particles were assumed to be non-porous carbon (Vulcan), and calculations were performed under the same initial conditions as actual carbon black: primary particle size of 30 nm and aggregate diameter of 400 nm. Ionomers were assumed to be uniformly coated and not change in volume during degradations. The power generation reactions considering transport and diffusion were simulated for the catalyst layer structures fabricated by DEM, and the factors that cause differences in power generation performance were evaluated for each catalyst layer structure. In this study, performance degradation due to aggregation and desorption of platinum was neglected because we focused only on the effects of structural changes.Dynamic degradation of the catalyst layer was calculated considering localized corrosion due to carbon oxidation and structural collapse due to fastening pressure.The results showed a significant change in the catalyst layer structure despite the small amount of carbon corrosion. It was also suggested that the fastening pressure affects the amount of carbon corrosion when structural collapse occurs.AcknowledgmentThis study was supported by New Energy and Industrial Technology Development Organization (NEDO).

Stengers’s Whitehead and Field Philosophy

In his lucid introduction, Thomas Lamarre, Stengers’s translator, considers this book ‘a summation of Stengers’s work to date’, as she ‘relays’ Whitehead’s thought to grapple with contemporary issues in our ‘times of collapse’. In this she is continuing the work of her longer Thinking with Whitehead that did much to relaunch the somewhat forgotten Whitehead, via Europe and back to readers in the anglosphere. This review article takes Stengers’s cue to test its ideas elsewhere, specifically among the Goolarabooloo people in North-West Australia, fairly recently colonised and resisting the modernisation frontier of which Stengers is very critical. To that end, this article finds field philosophy, as in the environmental humanities, a commensurate approach, as it teases out some Indigenous Australian concepts that ‘make sense in common’ with Stengers’s Whitehead.

Dynamical regimes of diffusion models

We study generative diffusion models in the regime where both the data dimension and the sample size are large, and the score function is trained optimally. Using statistical physics methods, we identify three distinct dynamical regimes during the generative diffusion process. The generative dynamics, starting from pure noise, first encounters a speciation transition, where the broad structure of the data emerges, akin to symmetry breaking in phase transitions. This is followed by a collapse phase, where the dynamics is attracted to a specific training point through a mechanism similar to condensation in a glass phase. The speciation time can be obtained from a spectral analysis of the data’s correlation matrix, while the collapse time relates to an excess entropy measure, and reveals the existence of a curse of dimensionality for diffusion models. These theoretical findings are supported by analytical solutions for Gaussian mixtures and confirmed by numerical experiments on real datasets.

On gravity implication in the wave function collapse

Inspired by an ontic view of the wave function in quantum mechanics and motivated by the universal interaction of gravity, we discuss a possible gravity implication in the state collapse mechanism. Concretely, we investigate the stability of the spatial superposition of a massive quantum state under the gravity effect. In this context, we argue that the stability of the spatially superposed state , depends on its gravitational self-energy originating from the effective mass density distribution through the spatially localized eigenstates . We reveal that the gravitational self-interaction between the different spacetime curvatures created by the eigenstate effective masses leads to the reduction of the superposed state to one of the possible localized states . Among others, we discuss such a gravity-driven state reduction. Then, we approach the corresponding collapse time and the induced effective electric current in the case of a charged state, as well as the possible detection aspects.

Origin and Full Characterization of the Secondary (Assembly) Halo Bias

The clustering of dark matter halos depends not only on their mass, the so-called primary bias, but also on their internal properties, the so-called secondary bias. While the former effect is well understood within the Press–Schechter and excursion set models of structure formation, the latter is not. In those models, protohalos are fully characterized by their height and scale, which determine the halo mass and collapse time, so there is no room for any other halo property. This is why the secondary bias was believed not to be innate but due to the distinct merger rate of halos lying in different backgrounds, and dubbed assembly bias. However, it has now been determined that mergers leave no imprint in the inner halo properties. In fact, the innate origin of the secondary bias cannot be discarded because, in the more realistic peak model of structure formation, halo seeds are characterized by one additional property: the peak curvature. Here, we use the confluent system of peak trajectory formalism to show that peaks lying in different backgrounds have different mean curvatures, which in turn cause them to evolve into halos with different typical inner properties. The dependence we find of the properties on halo background (or halo clustering) reproduces the results of simulations.

Numerical investigation on the liquid jet and the dynamics of the near-wall cavitation bubble under an acoustic field

The dynamics of the near-wall cavitation bubble in an acoustic field are the fundamental forms of acoustic cavitation, which has been associated with promising applications in ultrasonic cleaning, chemical engineering, and food processing. However, the potential physical mechanisms for acoustic cavitation-induced surface cleaning have not been fully elucidated. The dynamics of an ultrasonically driven near-wall cavitation bubble are numerically investigated by employing a compressible two-phase model implemented in OpenFOAM. The corresponding validation of the current model containing the acoustic field was performed by comparison with experimental and state-of-the-art theoretical results. Compared to the state without the acoustic field, the acoustic field can enhance the near-wall bubble collapse due to its stretching effect, causing higher jet velocities and shorter collapse intervals. The jet velocity in the acoustic field increases by 80.2%, and the collapse time reduces by 40.9% compared to those without an acoustic field for γ = 1.1. In addition, the effects of the stand-off distances (γ), acoustic pressure wave frequency (f), and initial pressure (p*) on the bubble dynamic behaviors were analyzed in depth. The results indicate that cavitation effects (e.g., pressure loads at the wall center and the maximal bubble temperature) are weakened with the increase in the frequency (f) owing to the shorter oscillation periods. Furthermore, the maximum radius of bubble expansion and the collapse time decrease with increasing f and increase with increasing p*. The bubble maximum radius reduces by 12.6% when f increases by 62.5% and increases by 20.5% when p* increases by 74%.

The effects of dynamic factors inside the bubble on sono-hydrogen yield: A numerical study

The formation of H2 by introducing ultrasonic waves to liquid has been widely recognized as a way to provide a clean, efficient, and reliable source of H2, known as Sono-Hydro-Gen. H2 comes from the chemical effects of ultrasonic waves (sonochemistry) caused by the growth and collapse of acoustic cavitation bubbles. In this work, the effects of dynamic parameters (i.e., bubble temperature, the amount of water vapor trapped inside the bubble, and collapse time) in the evolution of cavitation bubbles on H2 production are studied numerically. For an oxygen bubble, computational simulations are performed for the wide range of acoustic amplitudes (1.5–3 atm), ultrasonic frequencies (140–515 kHz), and ambient radii (0.25–20 μm), considering 22 reversible chemical reactions and 10 chemical species inside the bubble. The numerical results show that the amount of water vapor has a significant effect on the bubble collapse temperature. At low excitation amplitudes, the amount of water vapor is not enough to cause the bubble to form a strong collapse. Nevertheless, at high excitation amplitudes, the amount of water vapor is too much to reduce the bubble temperature. There exist optimal values of bubble temperature and amount of water vapor for H2 production. The optimal bubble temperatures are 5267, 4813, 4626, and 3856 K, corresponding to H2 productions of 4.21 × 10−18, 1.29 × 10−18, 2.61 × 10−19, and 8.48 × 10−20 mol, respectively, at ultrasonic frequencies of 140, 213, 355, and 515 kHz. No matter what the excitation parameters are, the optimal water vapor fraction is 0.78 ± 0.04 for H2 production. The obtained results of the present work can provide guidelines for H2 production in acoustic cavitation.

The ad 79 Vesuvius eruption revisited: the pyroclastic density currents

Seventeen pyroclastic density currents (PDCs) were produced before, during and after the Plinian phase of the ad 79 eruption of Vesuvius. Their deposits were correlated using the proportions of components, together with the recognition of distinctive intercalated regionally traceable fall marker layers, revealing sectoral and distance-dependent variations. During an extensive field analysis, 27 lithostratigraphic units were detected and mapped and the lateral and vertical variations of 15 lithofacies were documented, described and interpreted. The total volume of PDC units is 1.25 km 3 . We consider that the early PDCs were generated by partial collapses from the sustained Plinian eruption column, whereas the subsequent post-Plinian PDCs were generated by more sustained pyroclastic fountaining. New facies mapping revealed lateral migration and extended travel distances for some of the currents. Most of the lobed PDCs remained relatively uniform, whereas the radial PDCs exhibited fluctuating waxing and waning pulses and changed gradationally down-current. Re-evaluation of the timing of caldera collapse and the transition from a magmatic to a phreatomagmatic eruption style suggests that substrate fracturing during incremental caldera subsidence may have allowed the gradual ingress of groundwater into the erupting magma. These results provide a new chronology of the eruption, revealing that the post-Plinian collapse phase lasted c. 12 h.

Investigating the Response Mechanism of Vertical Concrete Structures to Alternating Horizontal and Lateral Loads

The improper performance of columns in concrete buildings designed and built in the past years has caused concern and attention to their vulnerability to collapse. The investigation of the damages caused to the structures after various earthquakes and the research conducted during these years have caused changes in the design practices to achieve ductile behavior in the columns. Most of the efforts have been made in these years to improve the design criteria, but the effect of the axial force or the loss of the axial capacity of the columns in the existing buildings built in the past years is still unknown. Most of these columns have transverse reinforcements with large distances, which provide little lateral resistance for the longitudinal reinforcements and also little confinement for the concrete in seismic loads. Many of these columns are not accepted according to the rules of today's regulations. In these columns, not only determining the shear capacity but also the ability of the column to withstand the axial force after the shearing is of great importance. The failure of such columns is due to shear deformations that lead to shear failure and then axial failure. At first, a comprehensive review is done of the studies of other researchers. In this review, we try to collect the analytical and laboratory studies available in the technical literature. These studies are related to the testing of concrete columns until the time of gravitational collapse and the behavior models of the columns until this limit state. Then, according to the collected information and their analysis, several columns will be designed and built for laboratory study. These columns are designed to represent the condition of columns in old concrete buildings. The comparison between the analytical and laboratory results of the 6 tested column samples shows a good agreement between them. As a result, the proposed method has sufficient accuracy and efficiency to determine the effective stiffness of columns.

Experiments on the effect of wall distances for bubble collapse characteristics

At present, the energy released by bubble collapse can be used for the surface treatment of workpieces and can also be used to degrade pollutants. However, the mechanism of action between bubble collapse and a nearby wall has yet to be accurately explained. In order to grasp the relationship between the wall distance and collapse characteristics, the methods of spark discharge, high-speed photography, and pressure acquisition are used to study bubble shapes and the dynamic variation during pressure release with different wall distances in this paper. The results show that with the increasing of the distance L, the shape of a bubble changes from oblate to spherical and its collapse time shortens. The proportion of the total collapse time consumed by the slow collapse stage shows an increasing trend. In an experiment with two contractions, the time proportion of the slow collapse stage of the first contraction is much larger than that of the second contraction. The existence of the wall delays the collapse of the bubble. As the distance L increases, the bubble goes from undergoing one collapse to two collapses and then to one collapse again. The proportion of the duration of the slow collapse stage of the first contraction decreases rapidly, and the proportion of the slow collapse stage of the second contraction increases slowly, but the time proportion of second contraction decreases. When the distance L increases from 4.5 mm to 11 mm, the pressure received by the wall gradually decreases 28.19 MPa to 18.01 MPa. With an increase in the distance S from 0 to 8 mm, the maximum pressure received by the wall gradually decreases from 19.77 MPa to 9.37 MPa. The relationship found between the slow collapse stage (ta), the second contraction (tb), and the distance (L) can provide guidance for the effective application of the energy released by bubble collapse.

A facile sunflower pectin gel foam for liquid fuel fire suppression with ReaxFF characterisation on its char-enhancing ability

A biomass fire suppression gel foam (FSGF) with outstanding thermal stability and fire resistance performance was synthesised to improve the flame retardancy of foam agents on liquid fuel fires. The foam comprehensive index, microstructure, thermal stability, fire resistance and extinguishing properties of the FSGF were benchmarked against aqueous film-forming foam (AFFF). Subsequently, reactive forcefield (ReaxFF) molecular dynamics (MD) simulations were performed on the FSGF to study the thermokinetic properties. Based on the experimental results, a porosity layer was found on the external film of FSGF, which enhanced the thermal stability of the foam. The gelling mechanism of the foam is the formation of an O–Ca–O bond. Through MD simulations it was discovered that the remained calcium oxide/hydroxide species when deposited on fuel surfaces would promote char formation as they capture H/O atoms via dehydration. Alternatively, the foam showed better thermal stability than that of AFFF due to a lower weight loss rate and longer collapse time. The extinguishing performance tests demonstrated that the fire extinguishing time and resistance time of FSGF respectively are 72 s and 801 s, showing a significant potential to suppress the re-ignition of tank fires.

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We study the collapse of three inelastic particles in dimension d≥2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$d \\ge 2$$\\end{document}. We obtain general results of convergence and asymptotics concerning the variables of the dynamical system describing a collapsing system of particles. We prove a complete classification of the singularities when a collapse of three particles takes place, obtaining only two possible orders of collisions between the particles. In the first case, we recover that the particles arrange in a nearly linear chain, already studied by Zhou and Kadanoff, and in the second case, we obtain that the particles arrange in an equilateral triangle, and we show that, after sufficiently many collisions, the particles collide according to a unique order of collisions, which is periodic. Finally, we construct an initial configuration leading to a nearly linear collapse, stable under perturbations, and such that the angle between the particles at the time of collapse can be chosen a priori, with an arbitrary precision.

Halo Bias in the Peak Model: A First-principles Nonparametric Approach

The Press–Schechter (PS) and excursion set (ES) models of structure formation fail in reproducing the halo bias found in simulations, while the ES-peaks' formalism built in the peak model reproduces it only at high masses and does not address in a fully satisfactory manner peak nesting, and the mass and time of ellipsoidal collapse of triaxial peaks in the Gaussian-smoothed density field. Here, we apply the confluent system of peak trajectories formalism fixing all these issues from first principles and with no free parameters to infer the Lagrangian local peak bias parameters, which adopt very simple analytic expressions similar to those found in the PS and ES models. The predicted Eulerian linear halo bias recovers the results of simulations. More specifically, we show that the only small departure observed at intermediate and low masses can be due to the spurious halo splitting and grouping caused by the spherical overdensity halo-finding algorithm used in simulations.

Evidence for a survival-driven traveling wave in a keystone boreal predator population

Cyclical population dynamics are a common phenomenon in populations worldwide, yet the spatial organization of these cycles remains poorly understood. In this study, we investigated the spatial form and timing of a population collapse from 2018 to 2022 in Canada lynx (Lynx canadensis) across the northwest boreal forest. We analyzed survival, reproduction, and dispersal data from 143 individual global positioning system (GPS) collared lynx from populations across five study sites spanning interior Alaska to determine whether lynx displayed characteristics of a population wave following a concurrent wave in snowshoe hare (Lepus americanus) abundance. Reproductive rates declined across the study sites; however, site-level reproduction declined first in our easternmost study sites, supporting the idea of a population wave. Despite a clear increase in percent of dispersing lynx, there was no evidence of directional bias in dispersal following a hare population wave. Analysis did show increasingly poor survival for lynx dispersing to the east compared to combined resident and westward dispersal. This pattern is consistent with a survival-mediated population wave in lynx as the driver of the theorized population wave. The combination of these factors supports the idea of a hierarchical response to snowshoe hare population declines with a drop in lynx reproduction followed by increased dispersal, and finally reduced survival. All of this evidence is consistent with the expected characteristics of a population undergoing a traveling wave and supports the hypothesis that lynx presence may facilitate and mirror the underlying wave patterns in snowshoe hare.