{"title":"Computing large deviations of first-passage-time statistics in open quantum systems: Two methods.","authors":"Fei Liu, Jiayin Gu","doi":"10.1103/jqbq-8dx8","DOIUrl":"https://doi.org/10.1103/jqbq-8dx8","url":null,"abstract":"<p><p>We propose two methods for computing the large deviations of the first-passage-time statistics in general open quantum systems. The first method determines the region of convergence of the joint Laplace transform and the z transform of the first-passage time distribution by solving an equation of poles with respect to the z-transform parameter. The scaled cumulant generating function, which is the logarithm of the boundary values within this region, is subsequently obtained. The theoretical basis is that the dynamics of open quantum systems can be unraveled into a piecewise deterministic process and that a tilted Liouville master equation exists in Hilbert space. The second method uses a simulation-based approach that is built on the wave-function cloning algorithm. To validate both methods, we derive analytical expressions for the scaled cumulant generating functions in field-driven two-level and three-level systems. In addition, we present numerical results and cloning simulations for a field-driven system comprising two interacting two-level atoms.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034123"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analyzing contrarian behavior using nonlinear biased q-voter model.","authors":"Amit Pradhan, Pratik Mullick, Parongama Sen","doi":"10.1103/dwpm-66dj","DOIUrl":"https://doi.org/10.1103/dwpm-66dj","url":null,"abstract":"<p><p>We investigate the role of contrarians in a recently proposed weighted-influence variant of the q-voter model. In this framework, nonunanimous influence groups affect the focal agent through weighted contributions governed by a bias parameter p. We extend this setting by introducing a fraction α (α>0) of contrarians, defined as agents who systematically oppose the prevailing influence irrespective of whether the group is unanimous or divided. Analytical mean-field calculations and Monte Carlo simulations reveal that the final states of the system are governed by simple phase boundaries: regions of positive and negative majority separated by the lines p=1/2 and α=1/2, with equally-mixed states confined to these boundaries. While low contrarian densities are insufficient to overturn the bias, higher values of α systematically drive the system closer to a balanced coexistence of opinions, though exact parity is prevented by the presence of bias p. We further analyze the temporal relaxation of opinions and extract the characteristic time scales of convergence. Our findings highlight how contrarians, acting as structured nonconformists, can suppress consensus and maintain opinion diversity, while internal biases ultimately hinder a perfectly even split.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034301"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Recurrence in a periodically driven and weakly damped Fermi-Pasta-Ulam-Tsingou chain.","authors":"Yujun Shi, Haijiang Ren","doi":"10.1103/mbbf-ll5l","DOIUrl":"https://doi.org/10.1103/mbbf-ll5l","url":null,"abstract":"<p><p>We report numerical evidence of Fermi-Pasta-Ulam-Tsingou (FPUT)-like recurrence in weakly damped, periodically driven α-FPUT chains. In narrow regions of driving amplitude and damping, the steady-state energy is exchanged among a few low-frequency modes in a quasiperiodic (or highly regular, near-periodic) manner over long timescales. The maximum damping allowing recurrence decreases rapidly with chain length, suggesting that in the thermodynamic limit such behavior is unlikely to persist. Unlike discrete time crystals, the recurrence period is not an integer multiple of the driving period and does not correspond to spontaneous symmetry breaking. Nevertheless, these results reveal a type of coherent nonlinear dynamics in driven, open multimode systems and provide guidance for experimentally realizing long-lived quasiperiodic states.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034221"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological entropy of stationary three-dimensional turbulence.","authors":"Ankan Biswas, Amal Manoharan, Ashwin Joy","doi":"10.1103/kwg4-1mqx","DOIUrl":"https://doi.org/10.1103/kwg4-1mqx","url":null,"abstract":"<p><p>Topological entropy serves as a viable candidate for quantifying mixing and complexity of a highly chaotic system. Particularly in turbulence, this is determined as the exponential stretching rate of a fluid material line that typically necessitates a Lagrangian description. We extend our recent work [A. Manoharan, S. Subramanian, and A. Joy, Phys. Rev. E 112, 015106 (2025)10.1103/mdkl-nnq1] to three dimensions, and present an exact Eulerian framework to compute the topological entropy of stationary turbulent flows. The only prerequisite is a distribution of eigenvalues of the local strain-rate tensor and their decorrelation times. This can be easily obtained from a single wire probe at a fixed location, thereby eliminating the need for Lagrangian particle tracking which is formidable due to the chaotic nature of the flow. We believe that our results lend great utility in experiments targeting transport and mixing in many industrial and natural flows.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-2","pages":"035107"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantifying errors in the Jarzynski estimator.","authors":"Sivaraman Rajaganapathy, Cailong Hua, Murti Salapaka","doi":"10.1103/mkch-jb15","DOIUrl":"https://doi.org/10.1103/mkch-jb15","url":null,"abstract":"<p><p>Free energy is a crucial physical quantity in a wide range of domains, including systems at the nanoscale. The Jarzynski equality computes the equilibrium free energy difference between two states using the measurements of nonequilibrium work needed to move the system between the states. The Jarzynski equality uses the mean of the exponentiated work and thus holds true only in the limit of infinite data size. There are only a few studies estimating errors when employing the Jarzynski equality with a finite number of measurements; further, these estimates remain limited in scope. We provide nonrestrictive and rigorous confidence bounds on the free energy difference computable from samples of measured work without the need for any prior information on the work distribution. These bounds are applicable to a large variety of experimental conditions that take a system far from the equilibrium. The analytical claims are corroborated using simulations and experiments utilizing a toolbox developed in Python.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034135"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Swarmalators with frequency-weighted interactions.","authors":"R Senthamizhan, R Gopal, V K Chandrasekar","doi":"10.1103/dhz7-p4yg","DOIUrl":"https://doi.org/10.1103/dhz7-p4yg","url":null,"abstract":"<p><p>We investigate the role of frequency-weighted interactions in a solvable model of one-dimensional swarmalators confined to a ring, where both spatial and phase couplings are scaled by the heterogeneous natural frequencies of individual agents. Our analysis identifies three distinct collective states: the asynchronous state, the phase-wave state, and the bistrip mixed state characterized by antipodal clusters that are internally split into frequency-dependent substrips. We further establish that the onset of abrupt transitions are driven by heterogeneous coupling. Using a self-consistency analysis, we precisely determine the conditions for dynamical transitions among the identified states, thereby extending the theoretical understanding of swarmalator dynamics under heterogeneous interaction rules, which are in good agreement with the numerical simulation results.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034216"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite-time and finite-size scalings of coercivity in dynamic hysteresis.","authors":"Miao Chen, Xiu-Hua Zhao, Yu-Han Ma","doi":"10.1103/mzvj-n6vn","DOIUrl":"https://doi.org/10.1103/mzvj-n6vn","url":null,"abstract":"<p><p>The coercivity landscape for characterizing hysteresis in interacting systems across multiple timescales is proposed by Chen et al. in a companion paper [Phys. Rev. Lett. 136, 117102 (2026)10.1103/5rg8-52gl]. For the stochastic ϕ^{4} model under periodic driving of rate v_{H}, the coercivity landscape H_{c}(v_{H}) exhibits plateau features at a characteristic rate v_{P} with the corresponding coercivity H_{P}. Below this plateau (v_{H}<v_{P}), the H_{c}∼v_{H} scaling obtained in the near-equilibrium regime becomes inaccessible in the thermodynamic limit. Above the plateau (v_{H}>v_{P}), scaling in the fast-driving regime, H_{c}∼v_{H}^{1/2}, is completely different from that, H_{c}-H_{P}∼(v_{H}-v_{P})^{2/3}, in the postplateau slow-driving regime. The emergence of the plateau with a finite-size scaling reflects the competition between the thermodynamic limit and the quasistatic limit. In this paper, we provide detailed analytical proofs and numerical evidence supporting these results. Moreover, to demonstrate the coercivity landscape in concrete physical systems, we study the magnetic hysteresis in the Curie-Weiss model and analyze its finite-size effects. We reveal that finite-time coercivity scaling shows model-specific behavior only in the fast-driving regime, while exhibiting universal characteristics elsewhere.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034124"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Virtual states and exponential decay in small-scale dynamo.","authors":"A V Kopyev, V A Sirota, A S Il'yn, K P Zybin","doi":"10.1103/wfb9-n2zl","DOIUrl":"https://doi.org/10.1103/wfb9-n2zl","url":null,"abstract":"<p><p>We develop the Kazantsev theory of small-scale dynamo generation at small Prandtl numbers near the generation threshold and restore the concordance between the theory and numerical simulations: the theory predicted a power-law decay below the threshold, while simulations demonstrate exponential decay. We show that the exponential decay is temporary and owes its existence to the flattening of the velocity correlator at large scales. This effect corresponds to the existence of a long-living virtual level in the corresponding Schrödinger-type equation. We also find the critical Reynolds number, the increment of growth or decay above and under the threshold and the time of exponential decrease under the threshold; we express them in terms of the quantitative characteristic properties of the velocity correlator, which makes it possible to compare the results with the data of different simulations.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-2","pages":"035101"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Examining the evolution of phase-space elements for C.elegans locomotion.","authors":"Dimitrios Tzepos, Jenny Magnes","doi":"10.1103/fmxh-cdjx","DOIUrl":"https://doi.org/10.1103/fmxh-cdjx","url":null,"abstract":"<p><p>The Caenorhabditis elegans (C.elegans) nematodes have long been a model organism for quantitative behavioral analysis due to their tractable nervous system and well-characterized genetics. In particular, dynamic diffraction has been a successful method of studying said microorganisms due to its low level of noise and the ability to simultaneously study multiple degrees of freedom of their neuromuscular system through their locomotion. In this study, we estimate the Lyapunov spectrum of C.elegans locomotion, which offers an insight into how volume elements evolve in the phase space of the underlying dynamical system. For that, we used the Sano-Sawada algorithm to estimate the spectra from the trajectories reconstructed using the Takens embedding procedure. In total, two positive and one negative exponents were calculated and verified to be nonspurious through investigations of their stability for different sets of parameters. Those exponents have values of 0.860±0.028 s^{-1}, 0.389±0.014 s^{-1}, and -3.451±0.074 s^{-1}, respectively. The presence of two positive exponents indicates that C.elegans locomotion is hyperchaotic, while the total sum being negative indicates that the system is dissipative. Those are key observations for the underlying system and will be significant for the potential formulation of future mathematical or computational models.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034223"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Using test particle sum rules to improve approximations in classical density functional theory: White-Bear and White-Bear mark II versions of the Lutsko functional.","authors":"Melih Gül, Roland Roth, Robert Evans","doi":"10.1103/3vg8-mbf4","DOIUrl":"https://doi.org/10.1103/3vg8-mbf4","url":null,"abstract":"<p><p>In a recent paper [M. Gül et al., Phys. Rev. E 110, 064115 (2024)2470-004510.1103/PhysRevE.110.064115], we showed that test particle sum rules, which address the excess chemical potential and isothermal compressibility, could be used to develop accurate classical density functionals for hard-sphere (HS) fluids. Here we extend our approach to the construction of HS functionals building upon the state-of-the-art White-Bear (WB) and White-Bear mark II functionals. Employing the same test particle sum rules, we determine the two free parameters in the Lutsko [J. F. Lutsko, Phys. Rev. E 102, 062137 (2020)2470-004510.1103/PhysRevE.102.062137] formulation of fundamental measure theory by minimizing the relative errors between different routes to the two thermodynamic quantities. The resulting optimized Lutsko WB functionals, especially Lutsko WB mark II, are generally more accurate and consistent than those obtained in earlier treatments.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"113 3-1","pages":"034104"},"PeriodicalIF":2.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147718626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}