Transition Rates Research Articles

TET1 overexpression affects cell proliferation and apoptosis in aging ovaries.

Along with the progress of society, human life expectancy has been increasing, and late marriage and late childbearing are the current trend. Since reproductive aging affects fertility, ovarian aging in women has become a major reproductive health issue in the current society. During ovarian aging, DNA methylation levels may change. The ten-eleven translocation (TET) protein family proteins TET1, TET2, and TET3 are important DNA demethylation enzymes, and differential expression of TET1, TET2, and TET3 may affect the proliferation and apoptosis of aging ovarian cells. The aim of this study was to investigate the role of TET1 in the regulation of ovarian aging. The expression of 5-methylcytosine (5mC) and 5-hydroxymethylcytosine (5hmC) was analyzed by immunofluorescence (IF) in young and aging ovaries of six 6-8-week-old female mice and six 6-8-month-old female mice. Then, the expression pattern of the TET protein family in young and aging ovaries of mice was investigated. To determine the impact of TET1 on ovarian development, the aging of IOSE-80, KGN, and SKOV-3 cells was induced with D-galactosidase (D-gal). Cells were then transfected using the TET1 overexpression vector or si-TET1. We assessed the proliferation and apoptosis of aging cells after transfection and analyzed the regulatory effect of TET1 expression on aging cells. Additionally, we verified the Tet1 expression in Tet1-KO mice. The 5mC to 5hmC transition, oocyte maturation, and blastocyst rate were reduced in aging mice compared to young mice. In aging mice ovaries, the expression levels of Tet1, Tet2, and Tet3 were reduced significantly, with Tet1 being particularly pronounced. The overexpression of TET1 promoted proliferation and inhibited apoptosis in aging human ovarian cells. Furthermore, Tet1 expression was very low in Tet1-KO C57BL/6J mice ovaries. This study demonstrates that the expression levels of TET family proteins are low in aging ovaries, and the overexpression of TET1 can promote proliferation and inhibit apoptosis in aging ovarian cells.

Updated ultraviolet fluorescence efficiencies of CS: Evidence for model discrepancies in the enhancement of NUV-derived CS abundances in comets

Observations of carbon monosulfide (CS) have a long history serving as a remote proxy for atomic sulfur, and more broadly, one of the sulfur reservoirs in cometary bodies. Recently, systematic discrepancies between NUV- and radio-derived CS abundances have been found to exceed a factor of 2–5, with NUV-derived abundances appearing enhanced for a wide array of comets. Interpretation of cometary CS emission in the ultraviolet has relied on a murky and ill-documented lineage of calculations whose accuracy can be difficult to assess. We report new fluorescence efficiencies of the CS radical, utilizing a rovibrational structure with vibrational states up to v=8 and rotational states up to N=100. The models utilize a new set of band transition rates derived from laboratory electron impact experiments. Benchmark comparisons to IUE observations of C/1979 Y1 (Bradfield) show favorable agreement with the fluorescence models. The present results affirm the accuracy of the historical record of CS abundances derived via ultraviolet CS emission in comets with IUE and HST, but do not explain the consistent enhancement of NUV-derived CS abundances relative to the radio measurements during the same apparitions. Alternative explanations of the factor of 2–5 discrepancy between NUV- and radio-derived CS abundances are discussed, as well as possible connections to sulfur reservoirs in protoplanetary disks. The model code and computed fluorescence efficiencies are made publicly available on the Zenodo service.

Physical demands of collegiate basketball practice: a preliminary report on novel methods and metrics.

Knowing the specific physical demands of basketball players can provide useful information for clinical decision making when rehabilitating athletes following injury. The purpose of this observational study was to describe the physical demands of basketball play at the Division I collegiate level using video-based time-motion analysis and introduce a time-efficient alternative method of quantifying demands. Eleven NCAA Division I basketball players (6M, 5F; 4 guards, 4 centers, 3 forwards) participated in the study. Video footage was collected from four practices (2 men's, 2 women's) and used to quantify the types and frequencies of player movements based on definitions from seminal work. A second and simpler method was also used to classify movement. A two-way ANOVA was used to assess significant differences in movement by team (men's, women's) and position (guard, forward, center). There were significant differences in counts of stand/walk (p < 0.001), jog (p = 0.012), run (p = 0.001), stride/sprint (p = 0.04), and medium-intensity shuffling (p < 0.001) per minute and proportion of practice time spent in bodyweight (p < 0.001) or above-bodyweight (p < 0.001) loading between teams. There were significant differences for jog (p = 0.001) and transition (p = 0.07) rates across positions. Position and team are important considerations for rehabilitation and return-to-sport clearance. Quantification of these demands can be reliably acquired through video analysis using a simplified method (estimated foot load) or using traditional methods of movement classification and counts, particularly when applying descriptors that better capture the current style of play.

Near-infrared quantum-cutting emission in Ho3+/Yb3+ co-doped NaY(WO4)2 phosphors

Enhancing the efficiency of photoelectric conversion is a vital consideration for silicon-based solar cells via introducing near-infrared emitting material. In this study, efficient Yb3+ near infrared emissions through quantum cutting was achieved by adjusting the concentrations of Ho3+ and Yb3+. The quantum cutting mechanism was detailedly investigated and a two-step energy transfer processes from Ho3+ to Yb3+ were assigned to be responsible for the near infrared emission of Yb3+. The radiative and nonradiative transition rates of all concerned 4f levels of Ho3+ in NaY(WO4)2 (abbreviations as NYW) matrix were derived based on the Judd-Ofelt theory and the energy gap law. The energy transfer rates from Ho3+ to Yb3+ were also obtained by analyzing the fluorescence dynamics. Furthermore, the quantum cutting efficiencies were determined to be 60.46 %. It was revealed that the low quantum-cutting efficiencies resulted from the nonradiative transitions of Ho3+ and the self-quenching of Yb3+ at higher doping concentration of Yb3+.

The extent and burden of high multimorbidity on older adults in the US: a descriptive analysis of Medicare beneficiaries

BackgroundThe impact of multimorbidity (≥ 2 chronic diseases) on the well-being of older adults is substantial but variable. The burden of multimorbidity varies by the number and kinds of conditions, and timing of onset. The impact varies by age, race, ethnicity, socioeconomic status, and health indicators. Large scale longitudinal surveys linked to medical claims provide unique opportunities to characterize this variability.MethodsWe analyzed Medicare-linked Health and Retirement Study data for respondents 65 and older with 3 or more years of fee-for-service coverage (n = 17,199; 2000–2016). We applied standardized claims algorithms for operationalizing 21 chronic diseases. We compared multimorbidity levels, demographics, and outcomes at baseline and over time and escalation to high multimorbidity levels (≥ 5 conditions).ResultsAt baseline, 51.2% had no multimorbidity, 36.5% had multimorbidity, and 12.4% had high multimorbidity. Loss of function, cognitive decline, and higher healthcare utilization were up to ten times more prevalent in the high multimorbidity group. Greater rates of high multimorbidity were seen among non-Hispanic Black and Hispanic groups, those with lower wealth, younger birth cohorts, and adults with obesity. Rates of transition to high multimorbidity varied greatly and was highest among Hispanic and respondents with lower education.ConclusionsThe development and progression of multimorbidity in old age is influenced by many factors. Higher levels of multimorbidity are associated with sociodemographic characteristics, suggesting possible mitigation strategies.

Kinetics of Viral Shedding for Outbreak Surveillance of Emerging Infectious Diseases: Modeling Approach to SARS-CoV-2 Alpha and Omicron Infection.

Previous studies have highlighted the importance of viral shedding using cycle threshold (Ct) values obtained via reverse transcription polymerase chain reaction to understand the epidemic trajectories of SARS-CoV-2 infections. However, it is rare to elucidate the transition kinetics of Ct values from the asymptomatic or presymptomatic phase to the symptomatic phase before recovery using individual repeated Ct values. This study proposes a novel Ct-enshrined compartment model to provide a series of quantitative measures for delineating the full trajectories of the dynamics of viral load from infection until recovery. This Ct-enshrined compartment model was constructed by leveraging Ct-classified states within and between presymptomatic and symptomatic compartments before recovery or death among people with infections. A series of recovery indices were developed to assess the net kinetic movement of Ct-up toward and Ct-down off recovery. The model was applied to (1) a small-scale community-acquired Alpha variant outbreak under the "zero-COVID-19" policy without vaccines in May 2021 and (2) a large-scale community-acquired Omicron variant outbreak with high booster vaccination rates following the lifting of the "zero-COVID-19" policy in April 2022 in Taiwan. The model used Bayesian Markov chain Monte Carlo methods with the Metropolis-Hastings algorithm for parameter estimation. Sensitivity analyses were conducted by varying Ct cutoff values to assess the robustness of the model. The kinetic indicators revealed a marked difference in viral shedding dynamics between the Alpha and Omicron variants. The Alpha variant exhibited slower viral shedding and lower recovery rates, but the Omicron variant demonstrated swifter viral shedding and higher recovery rates. Specifically, the Alpha variant showed gradual Ct-up transitions and moderate recovery rates, yielding a presymptomatic recovery index slightly higher than 1 (1.10), whereas the Omicron variant had remarkable Ct-up transitions and significantly higher asymptomatic recovery rates, resulting in a presymptomatic recovery index much higher than 1 (152.5). Sensitivity analysis confirmed the robustness of the chosen Ct values of 18 and 25 across different recovery phases. Regarding the impact of vaccination, individuals without booster vaccination had a 19% higher presymptomatic incidence rate compared to those with booster vaccination. Breakthrough infections in boosted individuals initially showed similar Ct-up transition rates but higher rates in later stages compared to nonboosted individuals. Overall, booster vaccination improved recovery rates, particularly during the symptomatic phase, although recovery rates for persistent asymptomatic infection were similar regardless of vaccination status once the Ct level exceeded 25. The study provides new insights into dynamic Ct transitions, with the notable finding that Ct-up transitions toward recovery outpaced Ct-down and symptom-surfacing transitions during the presymptomatic phase. The Ct-up against Ct-down transition varies with variants and vaccination status. The proposed Ct-enshrined compartment model is useful for the surveillance of emerging infectious diseases in the future to prevent community-acquired outbreaks.

Optimized strategies for efficient CO2 trapping using hydrate technology by pressure adjustment

The hydrate-based method enhances oceanic CO2 storage capacity and is deemed beneficial for controlling greenhouse gas emissions. However, the non-uniform CO2 hydrate crystal interface in the sub-seabed storage layer acts as a barrier, slowing down mass transfer kinetics. This work employed in-situ nuclear magnetic resonance (NMR) technology to compare three different pressure adjustment strategies and observe CO2 bubble dispersion after hydrate dissociation, secondary nucleation, and crystal growth mechanism, along with pore water changes. The presence of micro/nano CO2 bubbles with high internal pressure and high specific surface area in the dissociation liquid significantly accelerated secondary micro-structural phase transition rates. The optimal hydrate-based CO2 storage efficiency reached up to 81.7 %. Moreover, the secondary formation of CO2 hydrates distributed more uniformly within the large, medium, and small pores and led to a significantly increased residual water conversion rate (reaching up to 88 %) in medium pores. The post-secondary formation of high-density hydrates resulted in low fluid mobility (T1/T2 mostly distributed in the range of 0 ∼ 10) and exhibited a mixed wettability state between pore fluids. Utilizing the “memory effects” of CO2 hydrate effectively overcame late-stage mass transfer barriers of solid hydrates films. Our findings extend the understanding of CO2 hydrate formation kinetics under pressure adjustment strategies.

A fast modularity hardware Trojan detection technique for large scale gate-level netlists

Hardware Trojans (HTs) are a kind of malicious circuit implanted by adversaries and induce malfunction under rare situations. Attackers may insert HTs into untrusted third-party intellectual properties (3PIPs), thus severely threatening the hardware security of ICs. To overcome this issue, state-of-art HT detection techniques are proposed based on feature extraction of gate-level netlists (GLNs). However, these techniques may take a long time to extract HT signals for large scale GLNs. In this paper, we propose a fast modularity HT detection (FMTD) method for large scale GLNs. The GLN modularity algorithm can divide the whole GLN into several small modules with the boundaries of D flip-flops (DFFs) of each module. By analyzing the transition rate of critical signals, preserving suspicious DFFs, and repairing the ring circuit, we can ensure the integrity of HT circuits during the GLN modularity process. Then, the calculation of the testability of each module is conducted in parallel with our self-designed tool. In the self-designed tool, we repair the ring circuit, calculate the testability values, and calibrate the testability values of module boundary signals. Compared with the EDA tools, our self-designed tool has no upper limit of testability values. Then, the testability values are sent to the unsupervised K-means clustering simultaneously to diagnose the HT signals. Facilitated by the modularity of the GLN, the detection time of 105 order signals sample is reduced by up to 90 % when compared to the traditional COTD method, while our MFTD method shows a similar HT detection performance to that of the traditional COTD method. For all 20 kinds of GLN samples in Trust-hub, our FMTD method can obtain a detection accuracy of 100 %, and signal diagnosis precision of more than 93 % with a diagnosis false positive rate lower than 1 %.

ASO Author Reflections: The Gustave Roussy Immune Score May Be a Useful Biomarker for Conversion Surgery After Chemotherapy Plus Nivolumab as the First-Line Treatment for Gastric Cancer.

PAST: There are no reports of promising biomarkers that predict which cases can be transferred to conversion surgery (CS) after chemotherapy plus nivolumab as first-line treatment for unresectable advanced or recurrent gastric cancer (GC). The purpose of this multicenter retrospective study was to conduct an analysis of real-world data on CS after chemotherapy plus nivolumab as a first-line treatment and to identify predictive biomarkers. PRESENT: We showed the CS transition rate was 11.5%. All CS cases had R0 resection, and the postoperative short-term outcome was acceptable. There were no high-risk Gustave Roussy Immune Score (GRIm-s) cases among those who underwent CS. FUTURE: Although this study was a multicenter study, the number of patients was small. A randomized controlled trial should be conducted for a more detailed study of the significance of CS.

A numerical model for evaluating the long-term migration and phase transition behavior of foam-assisted injection of CO2 in saline aquifers

Geological Carbon Storage (GCS) is a rapidly developing technology with the potential to mitigate the environmental impact of excessive greenhouse gas emissions. Foam-assisted injection of CO2 can effectively alter fluid rheological properties, thereby enhancing sweep efficiency. In this paper, a numerical model to evaluate the long-term migration behavior of foam-assisted injected CO2 in saline aquifers is developed. It is found that foam-assisted injection improves storage efficiency and reduces the plume migration distance compared to direct CO2 injection. This creates higher demands on the injection pressure but minimizes the risk of leakage. The effects of injection strategy, volume fraction of foam, and reservoir heterogeneity were investigated. Modeling results show that the injection strategy with a high foam volume fraction enhances the sweep efficiency and improves the transition rate of injected CO2 to the dissolved state. This can effectively enhance the long-term security of the sequestration. Simulations of layered formations indicates that foams can potentially inhibit the rapid migration of plumes along high-permeability zones. Our study provides insights for foam-assisted injection to enhance reservoir storage efficiency and long-term safety for GCS.

Statistical Mechanical Theories of Membrane Permeability.

A popular theoretical framework to compute the permeability coefficient of a molecule is provided by the classic Smoluchowski-Kramers treatment of the steady-state diffusive flux across a free-energy barrier. Within this framework, commonly termed "inhomogeneous solubility-diffusion" (ISD), the permeability, P, is expressed in closed form in terms of the potential of mean force and position-dependent diffusivity of the molecule of interest along the membrane normal. In principle, both quantities can be calculated from all-atom MD simulations. Although several methods exist for calculating the position-dependent diffusivity, each of these is at best an estimate. In addition, the ISD model does not account for memory effects along the chosen reaction coordinate. For these reasons, it is important to seek alternative theoretical formulations to determine the permeability coefficient that are able to account for the factors ignored by the ISD approximation. Using Green-Kubo linear response theory, we establish the familiar constitutive relation between the flux density across the membrane and the difference in the concentration of a permeant molecule, j = PΔC. On this basis, we derive a time-correlation function expression for the nonequilibrium flux across a membrane that is reminiscent of the transmission coefficient in the reactive flux formalism treatment of transition rates. An analysis based on the transition path theory framework is exploited to derive alternative expressions for the permeability coefficient. The different strategies are illustrated with stochastic simulations based on the generalized Langevin equation in addition to unbiased molecular dynamics simulations of water permeation of a lipid bilayer.

Non-equilibrium rate theory for polariton relaxation dynamics.

We derive an analytic expression of the non-equilibrium Fermi's golden rule (NE-FGR) expression for a Holstein-Tavis-Cumming Hamiltonian, a universal model for many molecules collectively coupled to the optical cavity. These NE-FGR expressions capture the full-time-dependent behavior of the rate constant for transitions from polariton states to dark states. The rate is shown to be reduced to the well-known frequency domain-based equilibrium Fermi's golden rule (E-FGR) expression in the equilibrium and collective limit and is shown to retain the same scaling with the number of sites in non-equilibrium and non-collective cases. We use these NE-FGR to perform population dynamics with a time-non-local and time-local quantum master equation and obtain accurate population dynamics from the initially occupied upper or lower polariton states. Furthermore, NE-FGR significantly improves the accuracy of the population dynamics when starting from the lower polariton compared to the E-FGR theory, highlighting the importance of the non-Markovian behavior and the short-time transient behavior in the transition rate constant.

Nocturnal Sleep Dynamics Alterations in the Early Stages of Behavioral Variant Frontotemporal Dementia.

Sleep disorders have been recognized as an integral component of the clinical syndrome in several neurodegenerative diseases, including Alzheimer's Disease (AD). However, limited data exists for rarer types of neurodegenerative diseases, such as behavioral variant Frontotemporal Dementia (bvFTD). This study aims to analyze EEG power spectra and sleep stage transitions in bvFTD patients, hypothesizing that bvFTD may show distinctive sleep stage transitions compared to patients with Alzheimer's Disease (AD). Eighteen probable bvFTD patients and eighteen age- and sex-matched probable AD patients underwent overnight polysomnography (PSG) and completed sleep disorders questionnaires. Sleep questionnaires, full-night EEG spectra, and sleep stage transitions indexes were compared between groups. bvFTD patients had higher Insomnia Severity Index (ISI) scores (95%CI: 0, 5) and reported poorer sleep quality than AD patients (p<0.01). Compared to AD, bvFTD patients showed higher N1 percentage (95%CI: 0.1, 6), lower N3 percentage (95%CI: -13.6, -0.6), higher sleep-wake transitions (95%CI: 1.49, 8.86) and N1 sleep-wake transitions (95%CI: 0.32, 6.1). EEG spectral analysis revealed higher spectral power in bvFTD compared to AD patients in faster rhythms, especially sigma rhythm, across all sleep stages. In bvFTD patients, sleep-wake transitions were positively associated with ISI. Patients with bvFTD present higher rates of transitions between wake and sleep than AD patients. The increased frequency of sleep transitions indicates a higher degree of sleep instability in bvFTD, which may reflect an imbalance in sleep-wake promoting systems. Sleep stage transitions analysis may provide novel insights into the sleep alterations of bvFTD patients.

Surface Iodide Defects Control the Kinetics of the CsPbI3 Perovskite Phase Transformation.

Halide perovskites are technologically interesting across a wide range of optoelectronic devices, especially photovoltaics, but material stability has proven to be challenging. One degradation mode of note is the meta stability of the perovskite phase of some material compositions. This was studied by tracking the change of CsPbI3 from its optoelectronically relevant perovskite phase to its thermodynamically stable nonperovskite phase, δ-CsPbI3. We explore kinetics as a function of surface chemistry and observe a quantitatively similar, ∼5-fold, reduction in the phase transition rate between neat films and those treated with CsI and CdI2. Using XPS to explore surface chemistry changes across samples, we link the reduction in the phase transition rate to the surface iodide concentration. When informed by previous theoretical studies, these experiments point to surface iodide vacancies as the nucleation sites for δ-CsPbI3 growth and show that phase nucleation is the rate limiting step in δ-CsPbI3 formation for CsPbI3 perovskite thin films.

Bifidobacterium longum subsp. infantis NKU FB3-14 attenuates loperamide-induced constipation through regulation of gut microbiota

Abstract Objectives Constipation is a prevalent gastrointestinal issue, and the efficacy of probiotics in alleviating constipation has been well proved. This study aimed to investigate the impact of Bifidobacterium longum subsp. infantis NKU FB3-14 on loperamide- induced constipation by focusing on improving intestinal barrier function and modulating gut microbiota composition Materials and Methods The constipated model mice induced by loperamide were treated with NKU FB3-14, and the laxative effect was assessed based on the fecal water content, first black stool time and gastrointestinal transit rate. Gastrointestinal regulatory peptides in serum, intestinal neurotransmitter and inflammatory cytokines in colon tissues were measured using ELISA kits. Changes of gut microbiota composition were analyzed through 16S ribosomal DNA sequencing identification. Additionally, HPLC detection was performed to quantify short chain fatty acids levels in feces Results Treatment with NKU FB3-14 led to increase the fecal water content, shorten the first black stool time and improve small intestine transit rate. Motilin and substance-P significantly decreased in the model group, and only motilin increased in FB3-14 group; somatostatin and vasoactive intestinal peptide were decreased in model mice and both increased in FB3-14 group; 5-HT levels in the colon tissue were upregulated following NKU FB3-14 treatment. Histological examination revealed thinner colonic mucosa in the model group along with significant in TNF-α, IL-1β and IL-17 levels form the colon tissues which were all relieved by NKU FB 3-14 treatment. Furthermore, NKU FB3-14 intervention resulted in reduced abundance of Desulfobacterota and Desulfovibrio while increasing the abundance of Ruminococcaceae and Eubacterium; higher level of butyric acid was observed in feces Conclusions In summary, our findings demonstrated that NKU FB3-14 treatment significantly enhanced the intestinal motility, regulated the expression levels of gastrointestinal regulatory peptides, prevented damage to colonic barriers as well as ameliorated gut microbiota imbalance associated with loperamide-induced constipation.

Prevalence and risk of subthreshold anxiety developing into threshold anxiety disorder in the general population

BackgroundSubthreshold anxiety may act as a critical precursor and risk factor for the onset of threshold anxiety. However, accurate prevalence rates of subthreshold anxiety and its role in leading to threshold anxiety require further elucidation. MethodsWe conducted a search on PubMed and Web of Science using predefined criteria and identified 45 articles with a total of 278,971 individuals to estimate the prevalence rates using a random effects model. The incidence risk ratio (IRR) was estimated by comparing the proportion of individuals with subthreshold anxiety who developed threshold anxiety to those without subthreshold anxiety in seven articles involving 18,693 individuals. ResultsOur analysis revealed an overall prevalence of subthreshold anxiety of 6.19%. Specifically, among individuals with subthreshold generalized anxiety disorders, adolescents show the highest prevalence (9.47%), outpacing adults (4.69%) and the elderly (3.49%). Further analysis of seven studies showed an increased risk of developing threshold anxiety in individuals with subthreshold anxiety (IRR = 2.63), with a higher transition rate (9.59%) compared to those without subthreshold anxiety (3.65%). ConclusionsAnxiety disorders may be conceptualized as a spectrum, with subthreshold anxiety serving as a significant prodromal state and risk factor for the development of threshold anxiety. Proactive management of subthreshold anxiety represents an effective approach for the prevention of its progression to threshold anxiety. Future research should investigate the risk of progression from subthreshold to threshold anxiety across various types, and explore how factors, such as social support and personality traits facilitate this progression.

First Achievement of Yellow Laser Operation in Dy3+-Doped Borate Crystals.

Continuous-wave (CW) yellow lasers have been demonstrated successfully by using a GaN laser-diode (LD) pumping in borate crystals for the first time. The Dy3+:GdMgB5O10 (Dy:GMB) crystal with dimensions up to 33 × 19 × 15 mm3 is grown by the top-seeded solution growth method, and the polarized spectroscopic properties are investigated systematically at room temperature. The line strengths, Judd-Ofelt (J-O) intensity, spontaneous transition rates, fluorescence branching ratios, and radiative lifetimes are calculated in detail by the Judd-Ofelt theory. Under direct pumping of 452 nm LD, a compact continuous-wave yellow laser with a maximum output power of 628 mW and laser wavelength of 581 nm is generated based on a Y-cut Dy:GMB crystal. To our knowledge, it is not only the highest output power for yellow laser obtained in Dy3+-doped crystals but also the first yellow laser operation achieved by borate crystals under direct LD pumping. The results reveal that the Dy:GMB crystal is an optical material with important application prospects in yellow laser.

Entropy production of the contact model

Abstract We propose an expression for the production of entropy for a system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is positive definite and based on the inequality x ln ⁡ x − ( x − 1 ) ⩾ 0 . The corresponding entropy flux is linear in the probability distribution allowing its calculation as an average. The expression is applied to the one-dimensional contact process at the stationary state. We found that the rate of entropy production per site is finite with a singularity at the critical point with diverging slope.

Random Telegraphic Signals with Fractal-like Probability Transition Rates

Many physical processes feature random telegraph signals, e.g., a time signal c(t) that randomly switches between two values over time. The present study focuses on the class of telegraphic processes for which the transition rates are formulated by using fractal-like expressions. By considering various restrictive hypotheses regarding the statistics of the waiting times, the present analysis provides the corresponding expressions of the unconditional and conditional probabilities, the mean waiting times, the mean phase duration, the autocorrelation function and the associated integral time scale, the spectral density, and the mean switching frequency. To assess the relevance of the various hypotheses, synthetically generated signals were constructed and used as references to evaluate the predictive quality of the theoretically derived expressions. The best predictions were obtained by considering that the waiting times probability density functions were Dirac peaks centered on the corresponding mean values.

Ab Initio Manganese Kα and Kβ Energy Eigenvalues, Shake-Off Probabilities, Auger Rates, with Convergence Tests.

This work presents ab initio calculations for the Kα spectrum of manganese (Z = 25, [Ar]3d54s2), a highly complex system due to the five open orbitals in the 3d shell. The spectrum is composed of the canonical diagram line [1s]→[2p] and shake-off satellite lines [1snl]→[2pnl] (nl∈{2s,2p,3s,3p,3d,4s}), where square brackets denote a hole state. The multiconfiguration Dirac-Hartree-Fock method with the active set approach provides the initial and final atomic wavefunctions. Results are presented as energy eigenvalue spectra for the diagram and satellite transitions. The calculated wavefunctions include over one hundred million configuration state functions and over 280,000 independent transition energies for the seven sets of spectra considered. Shake-off probabilities and Auger transition rates determine satellite intensities. The number of configuration state functions ensures highly-converged wavefunctions. Several measures of convergence demonstrate convergence in the calculated parameters. We obtain convergence of the transition energies in all eight transitions to within 0.06 eV and shake-off probabilities to within 4.5%.