Particle Interaction Strength Research Articles

Constraints on Bose–Einstein condensate stars as neutron stars models from new observational data

AbstractWe evaluate the feasibility of Bose–Einstein condensate stars (BECS) as models for the interior of neutron stars (NSs). BECS are compact objects composed of bosons, formed through the spin‐parallel pairing of neutrons. Here, we utilize the astronomical data from GW170817, XMMU J173203.3‐344518 (the lightest NS known), and a novel lower limit on NS core heat capacity to scrutinize the compatibility of BECS with these recent observations of NSs. Our specific focus is to constrain the values of the scattering length , parameter determining the strength of particle interactions in the model. Our analysis suggests that if the stars involved in GW170817 were BECSs, the scattering length of their constituent bosons should fall within the to fm range. Additionally, at a scattering length of fm, stars with mass and radius characteristics akin to XMMU J173203.3‐344518 are identified. Moreover, we find that the heat capacity depends on the mass and temperature of BECS, and surpasses the established lower bound for NS cores when fm. In summary, our results endorse BECS models with fm, providing NS observables in agreement with diverse observations and contributing to the understanding of NS interiors.

Particle number and interactions in the entropic uncertainty relations

The dependence of the entropic uncertainty relations on particle number and on attractive and repulsive interparticle potential strengths, is examined in the ground state of coupled harmonic oscillators. The reduced entropy sums depend on the normalization constants of the position and momentum densities, which in turn depend on particle number and interaction strength. These sums exhibit maxima as the particle number is varied, when the particles are in the presence of attractive potentials. On the other hand, no maxima are observed for systems with a repulsive potential. All reduced entropy sums increase and move away from the bound with greater interactions. Consistent behaviours are observed for both reduced one- and two-variable entropy sums. Further reductions of the N-particle densities induce that the respective entropy sums are now farther away from the corresponding bounds. The interpretation of these results is that reduction and increased interaction translates into a weakening of the strength of the uncertainty principle statement. The one- and two-variable entropy sums of these systems are shown to approximate the relation, when the intensity of the one-body harmonic potential is set at the number of particles.

How particle interactions and clustering affect the dynamic magnetic susceptibility of ferrofluids

The effects of magnetic interparticle interactions on the frequency-dependent, dynamic magnetic susceptibility of ferrofluids are summarised with reference to recent theoretical and simulation studies. With weak to moderate interactions, the dynamic magnetic susceptibility qualitatively resembles the classic Debye prediction, but with features shifted to lower frequencies as the particle concentration and/or interaction strength are increased. This shows that the mutual spatial and orientational correlations arising from the interactions lead to slower collective motions. With strong interactions, and at low concentrations, the particles form chain-like and ring-like clusters, and this leads to distinct collective and intracluster motions being apparent in the dynamic magnetic susceptibility. The initial formation of chains increases the static susceptibility, while the subsequent formation of rings decreases it.

Unified theory of quantum crystals and optical lattices with Bose–Einstein condensate

When interactions between particles are strong, at low temperature, these particles can form self-organized quantum crystals, and when the particles interact weakly, periodic structures can be imposed by external fields, e.g. by optical lattices. These opposite cases usually are treated separately, dealing either with quantum crystals or with optical lattices. Here the unified theory is developed for arbitrary particle interaction strength, treating in the frame of the same model both the limiting cases of quantum crystals and optical lattices, as well as the states intermediate between these two limits. Bose particles are considered, hence at low temperature in optical lattices Bose–Einstein condensation can happen, while it seems to be prohibited in ideal quantum crystals that do not contain mesoscopic regions of disorder, such as dislocations and grain boundaries.

Multi-orbital Hubbard model with infinite-range coulomb coupling

In this paper, we study the role of degeneracy in the Hubbard model featuring infinite-range Coulomb coupling. We put forward its exact solution for any dimension alongside analytical expressions for the one-dimensional (1D) lattice, thus generalizing the solution proposed by Hatsugai and Kohmoto for a single orbital. The ground-state phase diagram is also addressed against the particle density, interaction strength, and orbital number. We show that increasing the orbital number and/or the Hund’s hole coupling favors the phases associated to aligned spins within orbitals. Standard thermodynamic quantities in the grand canonical ensemble are further evaluated in 1D.

BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap

We present a theory of a two-component atomic Fermi gas with tunable attractive contact interactions on a spherical shell going through the Bardeen-Cooper-Schrieffer (BCS) - Bose Einstein condensation (BEC) crossover, inspired by the realizations of spherical bubble traps for ultracold atoms in microgravity. The derivation follows the BCS-Leggett theory to obtain the gap and number equations. The BCS-BEC crossover can be induced by tuning the interaction, and the properly normalized gap and chemical potential exhibit universal behavior regardless of the planar or spherical geometry. Nevertheless, the spherical-shell geometry introduces another way of inducing the crossover by the curvature. The curvature-induced BCS-BEC crossover is made possible by fixing the particle number and interaction strength while shrinking the sphere, causing a reduction to the ratio of the pairing and kinetic energies and pushing the system towards the BCS limit. The saturation of the superfluid density further confirms the ground state is a Fermi superfluid.

Elucidation of the relationship between aggregate structures and magnetorheological properties of a magnetic cubic particle suspension by means of Brownian dynamics simulations

We have developed a Brownian dynamics simulation technique for a cubic magnetic particle suspension in a simple shear flow in order to elucidate the relationship between the particle aggregates and the magnetorheological characteristics. A magnetic field is applied in the direction normal to the shearing plane. In a weak applied magnetic field, if the magnetic particle–particle interaction strength is sufficiently large, the particles aggregate to form closely-packed clusters even when subject to the influence of the shear flow. As the magnetic field strength is increased, the closely-packed aggregate structures are transformed into chain-like structures. The net viscosity is increased because the chain-like clusters give rise to a larger resistance to the flow field. As the magnetic field strength is further increased, the chain-like clusters grow into wall-like clusters aligned in the direction of the magnetic field. If the wall-like clusters are the predominant clusters, a magnetic force arises due to a characteristic of the particle arrangement in the wall-like clusters that tends to accelerate the flow field and, as a consequence, decrease the net viscosity. From these results, it may be suggested that under certain conditions a magnetic cubic particle suspension may exhibit a negative contribution to the magnetorheological characteristic. Highlights of the present study We have developed a Brownian dynamics (BD) simulation technique for a magnetic cubic particle suspension. BD simulations have been performed in order to investigate the relationship between particle aggregates and magnetorheological properties. The net viscosity exhibits a complex dependence on the regime of particle aggregates. It is suggested that under certain conditions a magnetic cubic particle suspension may exhibit a negative contribution to the magnetorheological characteristics. An increase in the shear rate causes instability in the face-to-face configuration and leads to the collapse of closely-packed clusters.

Brownian dynamics simulations of a cubic haematite particle suspension with a more effective treatment of steric layer interactions

We have proposed a new repulsive layer model for describing the interaction between steric layers of coated cubic particles. This approach is an effective technique applicable to particle-based simulations such as a Brownian dynamics simulation of a suspension composed of cubic particles. 3D Brownian dynamics simulations employing this repulsive interaction model have been performed in order to investigate the equilibrium aggregate structures of a suspension composed of cubic haematite particles. It has been verified that Brownian dynamics employing the present steric interaction model are in good agreement with Monte Carlo results with respect to particle aggregate structures and particle orientational characteristics. From the viewpoint of developing a surface modification technology, we have also investigated a regime change in the aggregate structure of cubic particle in a quasi-2D system by means of Brownian dynamics simulations. If the magnetic particle–particle interaction strength is relatively strong, in zero applied magnetic field the particles aggregate in an offset face-to-face configuration. As the magnetic field strength is increased, the offset face-to-face structure is transformed into a more direct face-to-face contact configuration that extends throughout the whole simulation region.

Emergent swarming states in active particles system with opposite anisotropic interactions

From the organization of animal flocks to the emergence of swarming behaviors in bacterial suspension, populations of motile organisms at all scales display coherent collective motion. Recent studies showed that the anisotropic interaction between active particles plays a key role in the phase behaviors. Here we investigate the collective behaviors of based-active Janus particles that experience an anisotropic interaction of which the orientation is opposite to the direction of active force by using Langevin dynamics simulations in two dimensional space. Interestingly, the system shows emergence of collective swarming states upon increasing the total area fraction of particles, which is not observed in systems without anisotropic interaction or activity. The threshold for emergence of swarming states decreases as particle activity or interaction strength increases. We have also performed basic kinetic analysis to reproduce the essential features of the simulation results. Our results demonstrate that anisotropic interactions at the individual level are sufficient to set homogeneous active particles into stable directed motion.

Collective modes across the soliton-droplet crossover in binary Bose mixtures

We study the collective modes of a binary Bose mixture across the soliton to droplet crossover in a quasi one dimensional waveguide with a beyond-mean-field equation of state and a variational Gaussian ansatz for the scalar bosonic field of the corresponding effective action. We observe a sharp difference in the collective modes in the two regimes. Within the soliton regime modes vary smoothly upon the variation of particle number or interaction strength. On the droplet side collective modes are inhibited by the emission of particles. This mechanism turns out to be dominant for a wide range of particle numbers and interactions. In a small window of particle number range and for intermediate interactions we find that monopole frequency is likely to be observed. In the last part we focus on the spin-dipole modes for the case of equal intraspecies interactions and equal equilibrium particle numbers in the presence of a weak longitudinal confinement. We found that such modes might be unobservable in the real-time dynamics close to the equilibrium as their frequency is higher than the particle emission spectrum by at least one order of magnitude in the droplet phase. Our results are relevant for experiments with two-component BECs for which we provide realistic parameters.

Tuning Patchy Bonds Induced by Critical Casimir Forces.

Experimental control of patchy interactions promises new routes for the assembly of complex colloidal structures, but remains challenging. Here, we investigate the role of patch width in the assembly of patchy colloidal particles assembled by critical Casimir forces. The particles are composed of a hydrophobic dumbbell with an equatorial hydrophilic polymer shell, and are synthesized to have well-defined patch-to-shell area ratios. Patch-to-patch binding is achieved in near-critical binary solvents, in which the particle interaction strength and range are controlled by the temperature-dependent solvent correlation length. Upon decreasing the patch-to-shell area ratio, we observe a pronounced change of the bonding morphology towards directed single-bonded configurations, as clearly reflected in the formation of chain-like structures. Computer simulations using an effective critical Casimir pair potential for the patches show that the morphology change results from the geometric exclusion of the increasingly thick hydrophilic particle shells. These results highlight the experimental control of patchy interactions through the engineering of the building blocks on the way towards rationally designed colloidal superstructures.

Thermal Hysteresis and Seeding of Twisted Fibers Formed by Achiral Discotic Particles.

In this paper, molecular dynamics simulations of simple disc-shaped particles are used to investigate the free self-assembly of defect-free fibers. Depending on the choice of particle shape and interaction strength, the formed fibers are reproducibly either straight or, for reasons of packing efficiency, spontaneously chiral. As they grow radially, increasing stresses cause chiral fibers to untwist either continuously or via morphological rearrangement. It is also found that, due to the kinetics of fiber initiation, the isotropic solution has to be significantly supercooled before aggregation takes place. As a result, the thermal hysteresis of one formed fiber extends to 13.9% of the formation temperature. In the presence of a three-thread seed cluster of 15 particles, however, monotonic fiber growth is observed 9.3% above the normal formation temperature. Thus, as in many experimental systems, it is the kinetic pathway, rather than the thermodynamic stability of the final assembly, that dominates the observed behavior.

Quantum walks of two interacting particles on percolation graphs

We address the dynamics of two indistinguishable interacting particles moving on a dynamical percolation graph, i.e., a graph where the edges are independent random telegraph processes whose values jump between 0 and 1, thus mimicking percolation. The interplay between the particle interaction strength, initial state and the percolation rate determine different dynamical regimes for the walkers. We show that, whenever the walkers are initially localised within the interaction range, fast noise enhances the particle spread compared to the noiseless case.

Binding energy of homogeneous Bose gases

We compute the energy needed to add or remove one particle from a homogeneous system of $N$ bosons on a torus. We focus on the mean-field limit when $N$ becomes large and the strength of particle interactions is proportional to $N^{-1}$, which allows us to justify Bogoliubov's approximation.

Computer simulations of equilibrium magnetization and microstructure in magnetic fluids

In this work, Monte Carlo and Brownian Dynamics simulations are developed to compute the equilibrium magnetization of a magnetic fluid under action of a homogeneous applied magnetic field. The particles are free of inertia and modeled as hard spheres with the same diameters. Two different periodic boundary conditions are implemented: the minimum image method and Ewald summation technique by replicating a finite number of particles throughout the suspension volume. A comparison of the equilibrium magnetization resulting from the minimum image approach and Ewald sums is performed by using Monte Carlo simulations. The Monte Carlo simulations with minimum image and lattice sums are used to investigate suspension microstructure by computing the important radial pair-distribution function go(r), which measures the probability density of finding a second particle at a distance r from a reference particle. This function provides relevant information on structure formation and its anisotropy through the suspension. The numerical results of go(r) are compared with theoretical predictions based on quite a different approach in the absence of the field and dipole-dipole interactions. A very good quantitative agreement is found for a particle volume fraction of 0.15, providing a validation of the present simulations. In general, the investigated suspensions are dominated by structures like dimmer and trimmer chains with trimmers having probability to form an order of magnitude lower than dimmers. Using Monte Carlo with lattice sums, the density distribution function g2(r) is also examined. Whenever this function is different from zero, it indicates structure-anisotropy in the suspension. The dependence of the equilibrium magnetization on the applied field, the magnetic particle volume fraction, and the magnitude of the dipole-dipole magnetic interactions for both boundary conditions are explored in this work. Results show that at dilute regimes and with moderate dipole-dipole interactions, the standard method of minimum image is both accurate and computationally efficient. Otherwise, lattice sums of magnetic particle interactions are required to accelerate convergence of the equilibrium magnetization. The accuracy of the numerical code is also quantitatively verified by comparing the magnetization obtained from numerical results with asymptotic predictions of high order in the particle volume fraction, in the presence of dipole-dipole interactions. In addition, Brownian Dynamics simulations are used in order to examine magnetization relaxation of a ferrofluid and to calculate the magnetic relaxation time as a function of the magnetic particle interaction strength for a given particle volume fraction and a non-dimensional applied field. The simulations of magnetization relaxation have shown the existence of a critical value of the dipole-dipole interaction parameter. For strength of the interactions below the critical value at a given particle volume fraction, the magnetic relaxation time is close to the Brownian relaxation time and the suspension has no appreciable memory. On the other hand, for strength of dipole interactions beyond its critical value, the relaxation time increases exponentially with the strength of dipole-dipole interaction. Although we have considered equilibrium conditions, the obtained results have far-reaching implications for the analysis of magnetic suspensions under external flow.

Dependence of the regime change in particle aggregates on the composition ratio of magnetic cubic particles with different magnetic moment directions

We here discuss the behaviour of a suspension composed of magnetic cubic particles on a material surface in order to apply the characteristics of a magnetic cubic particle suspension to the development of surface modification technology. A magnetic field is assumed to be applied in a direction parallel to the material surface and the cubic hematite particles are assumed to have a magnetic moment in the diagonal direction of the particle. Moreover, in the situation of a strong gravitational field, the cubic particles are assumed to be bound on the material surface with a face of each cubic particle in contact with the material or bottom surface plane. In a previous study we concentrated on the situation where half the ensemble particles have a magnetic moment pointing in the upward diagonal direction and the others in the downward diagonal direction relative to the material surface. We here expand the previous study to a variety of ensembles described by a ratio of the number of the magnetic moments aligning in these two directions. From quasi-2D Monte Carlo simulations, it is seen that the composition ratio of these cubic particles has a significant effect on the regime of the particle aggregates. That is, with decreasing composition ratio, the size of closely-packed aggregates becomes smaller, and thin linear clusters tend to be preferred in the situation of a strong magnetic field. Furthermore, a decrease in the composition ratio tends to dull the occurrence of regime change in particle aggregates for a change in the magnetic particle–particle interaction strength.

Towards quantum turbulence in cold atomic fermionic superfluids

Fermionic superfluids provide a new realization of quantum turbulence, accessible to both experiment and theory, yet relevant to phenomena from both cold atoms to nuclear astrophysics. In particular, the strongly interacting Fermi gas realized in cold-atom experiments is closely related to dilute neutron matter in neutron star crusts. Unlike the liquid superfluids 4He (bosons) and 3He (fermions), where quantum turbulence has been studied in laboratory for decades, superfluid Fermi gases stand apart for a number of reasons. They admit a rather reliable theoretical description based on density functional theory called the time-dependent superfluid local density approximation that describes both static and dynamic phenomena. Cold atom experiments demonstrate exquisite control over particle number, spin polarization, density, temperature, and interaction strength. Topological defects such as domain walls and quantized vortices, which lie at the heart of quantum turbulence, can be created and manipulated with time-dependent external potentials, and agree with the time-dependent theoretical techniques. While similar experimental and theoretical control exists for weakly interacting Bose gases, the unitary Fermi gas is strongly interacting. The resulting vortex line density is extremely high, and quantum turbulence may thus be realized in small systems where classical turbulence is suppressed. Fermi gases also permit the study of exotic superfluid phenomena such as the Larkin–Ovchinnikov–Fulde–Ferrell pairing mechanism for polarized superfluids which may give rise to 3D supersolids, and a pseudo-gap at finite temperatures that might affect the regime of classical turbulence. The dynamics associated with these phenomena has only started to be explored. Finally, superfluid mixtures have recently been realized, providing experimental access to phenomena like Andreev–Bashkin entrainment predicted decades ago. Superfluid Fermi gases thus provide a rich forum for addressing phenomena related to quantum turbulence with applications ranging from terrestrial superfluidity to astrophysical dynamics in neutron stars.

Monte Carlo simulations on phase change in aggregate structures of ferromagnetic spherocylinder particles

A suspension of ferromagnetic rod-like particles can be expected to exhibit strong magneto-rheological characteristics, which is a significantly important factor for application of magnetic particle suspensions to mechanical dampers and actuators. Hence, in the present study, we address a suspension composed of ferromagnetic rod-like particles in thermodynamic equilibrium. We here investigate the dependence of the phase change in aggregate structures on the various factors such as magnetic field strength, magnetic particle–particle interaction strength and volumetric fraction of magnetic particles. Monte Carlo simulations have been carried out to obtain results of snapshots, radial distribution function and order parameter of the system. In a weak applied magnetic field, the magnetic rod-like particles tend to aggregate to form raft-like clusters if the magnetic particle–particle interaction is much larger than thermal energy. If the magnetic field is increased, these raft-like clusters drastically dissociate into single-moving particles, that is, the phase change in aggregate structures arises. Moreover, the phase change in the aggregate structures is induced by the magnetic particle–particle interaction strength, from no cluster formation to long and thick chain-like clusters, in a strong applied magnetic field circumstance. As the length of the magnetic rod-like particles is increased, the orientational configuration comes to have a more significant effect on the cluster formation.

Numerical simulations of the structure of ferromagnetic fluids based on dissipative particle dynamics method

An algorithm based on dissipative particle dynamics (DPD) method is employed to simulate the structure of ferromagnetic fluids at thermodynamic equilibrium state. Two cases are considered. First, the effects of the magnetic particle–particle interaction strength on the structure of magnetic fluids are studied for the fixed-magnetic particle area fraction using the above DPD-based method. The obtained aggregate structures of magnetic particles agree well qualitatively with the corresponding simulation and experimental results in the literature. The radial distribution functions (RDFs) characterising quantitatively the internal structure of magnetic fluids are also calculated and analysed. As a result, the magnetic particle–particle interaction strength plays a crucial role in the formation of magnetic particle chain structure. Second, the influences of the magnetic particle area fraction φ on the structure of magnetic fluids are investigated for the fixed-magnetic particle–particle interaction strength using the above method. The simulated results are in qualitatively good agreement with simulation and experimental results in the literature. The influence of the size of periodic boundary on the height of the first peaks of RDFs is discussed and for the present system, the influence can be neglected. All the simulations and calculations show the employed DPD-based method is very effective. In a word, the present DPD-based method is indeed a powerful tool for simulating the structure of magnetic fluids.

Dissipative particle dynamics simulation for the microstructures of ferromagnetic fluids

ABSTRACTThe three-dimensional (3D) microstructures of ferromagnetic fluids at equilibrium state are simulated using the dissipative particle dynamics (DPD)-based method. First, for the fixed magnetic particle volume fraction , the microstructures of ferromagnetic fluids are simulated by investigating the influence of the magnetic particle–particle interaction strength on the aggregate structures of ferromagnetic particles. The obtained microstructures of ferromagnetic fluids agree qualitatively with those obtained by molecular dynamics and Monte Carlo simulations in the literature, respectively. Second, for the fixed magnetic particle–particle interaction strength , the influence of the magnetic particle volume fraction on the microstructures of ferromagnetic fluids is investigated. The corresponding radial distribution functions and the time evolution of the mean equilibrium temperature of the magnetic fluid system are also calculated, which shows the correctness of the simulated microstructures. The simulated microstructures of ferromagnetic fluids are in qualitatively good agreement with those obtained by the molecular dynamics method in the literature. In addition, the mean equilibrium velocities of ferromagnetic and dissipative particles are also calculated, and the numerical solutions highly approach the corresponding theoretical values. All the calculations show the correctness of the simulated microstructures of ferromagnetic fluids and verify the validity of the employed DPD-based method. Our results should be of value to study the optical characteristics of ferromagnetic fluids.