Physical review. E最新文献_第2页

Scaling relations of spectral form factor and Krylov complexity at finite temperature. 有限温度下光谱形状因子与克雷洛夫复杂度的比例关系。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014135

Chengming Tan, Zhiyang Wei, Ren Zhang

{"title":"Scaling relations of spectral form factor and Krylov complexity at finite temperature.","authors":"Chengming Tan, Zhiyang Wei, Ren Zhang","doi":"10.1103/PhysRevE.111.014135","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014135","url":null,"abstract":"In the study of quantum chaos diagnostics, considerable attention has been attributed to the Krylov complexity and the spectral form factor (SFF) for systems at infinite temperature. These investigations have unveiled universal properties of quantum chaotic systems. By extending the analysis to include the finite-temperature effects on the Krylov complexity and SFF, we demonstrate that the Lanczos coefficients b_{n}, which are associated with the Wightman inner product, display consistency with the universal hypothesis presented in Parker et al. [Phys. Rev. X 9, 041017 (2019)2160-330810.1103/PhysRevX.9.041017]. This result contrasts with the behavior of Lanczos coefficients associated with the standard inner product. Our results indicate that the slope α of the b_{n} is bounded by πk_{B}T, where k_{B} is the Boltzmann constant and T is the temperature. We also investigate the SFF, which characterizes the two-point correlation of the spectrum and encapsulates an indicator of ergodicity denoted by g in chaotic systems. Our analysis demonstrates that as the temperature decreases, the value of g decreases as well. Considering that α also represents the operator growth rate, we establish a quantitative relationship between the ergodicity indicator and the Lanczos coefficients' slope. To support our findings, we provide evidence using the Gaussian orthogonal ensemble and a random spin model. Our work deepens the understanding of the finite-temperature effects on the Krylov complexity, the SFF, and the connection between ergodicity and operator growth.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014135"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458925","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}

引用次数: 0

Fragility of chess positions: Measure, universality, and tipping points. 象棋位置的脆弱性：度量、普遍性和引爆点。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014314

Marc Barthelemy

{"title":"Fragility of chess positions: Measure, universality, and tipping points.","authors":"Marc Barthelemy","doi":"10.1103/PhysRevE.111.014314","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014314","url":null,"abstract":"We introduce a metric to quantify the fragility of chess positions using the interaction graph of pieces. This fragility score F captures the tension within a position and serves as a strong indicator of tipping points in a game. In well-known games, maximum fragility often aligns with decisive moments marked by brilliant moves. Analyzing a large dataset of games, we find that fragility typically peaks around move 15, with pawns (≈60%) and knights (≈20%) frequently involved in high-tension positions. Comparing the Stockfish evaluation with the fragility score, we observe that the maximum fragility ply often serves as a critical turning point, where the moves made afterward can determine the outcome of the game. Remarkably, average fragility curves show a universal pattern across a wide range of players, games, and openings, with a subtle deviation observed in games played by the engine Stockfish. Our analysis reveals a gradual buildup of fragility starting around eight moves before the peak, followed by a prolonged fragile state lasting up to 15 moves. This suggests a gradual intensification of positional tension leading to decisive moments in the game. These insights offer a valuable tool for both players and engines to assess critical moments in chess.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014314"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458937","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}

引用次数: 0

Asymptotic integrability and Hamilton theory of soliton motion along large-scale background waves. 大尺度背景波孤子运动的渐近可积性和Hamilton理论。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014202

A M Kamchatnov

引用次数: 0

Multistable states of light in two coupled silica microresonators with dominating thermo-optical nonlinearity. 热光学非线性占主导地位的两个耦合硅微谐振腔中光的多稳态。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014203

Maria P Marisova, Alexey V Andrianov, Alexey V Yulin, Elena A Anashkina

{"title":"Multistable states of light in two coupled silica microresonators with dominating thermo-optical nonlinearity.","authors":"Maria P Marisova, Alexey V Andrianov, Alexey V Yulin, Elena A Anashkina","doi":"10.1103/PhysRevE.111.014203","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014203","url":null,"abstract":"We present a comprehensive theoretical analysis of thermo-optical multistability in two coupled silica microresonators with identical and slightly different partial eigenfrequencies. We consider a unidirectionally pumped system with a relatively low total Q-factor, where thermo-optical nonlinearity dominates. To analyze the system behavior, we employ a dynamical system approach that takes into account the hierarchy of the timescales associated with optical and thermal processes. We show that up to nine stationary states are possible for the same system parameters and that no more than four of them can be stable. Additionally, self-oscillation regimes are observed within specific parameter ranges. Bifurcations are discussed and nontrivial hysteretic switchings between light states under smooth pump frequency sweeping for different pump powers are demonstrated. It is also shown that even small intermode detuning can affect the dynamics of the system dramatically. This intriguing phenomenon is of fundamental interest and may potentially be used in the development of ultrasensitive sensors when operating near a bifurcation point, which is also discussed.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014203"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459127","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}

引用次数: 0

Enhanced coarsening induced by pore confinement. 孔隙约束导致的强化粗化。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.L013401

A Salame, V-T Nguyen, V Langlois, A Petit, B Soltner, O Pitois, S Vincent-Bonnieu

{"title":"Enhanced coarsening induced by pore confinement.","authors":"A Salame, V-T Nguyen, V Langlois, A Petit, B Soltner, O Pitois, S Vincent-Bonnieu","doi":"10.1103/PhysRevE.111.L013401","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L013401","url":null,"abstract":"The coarsening process is driven by the reduction in interfacial energy density, resulting in an enlargement of the size scale within two-phase systems. It plays a crucial role in the stability and the aging of densely packed arrangements of particles, which are commonly found in alloys, foams, emulsions, supersaturated solutions, etc. It has been shown previously that, when properly confined, such particles undergo the so-called anticoarsening phenomenon, ultimately leading to the one particle-per-pore configuration associated with the arrest of coarsening. In this study, we quantitatively explore the coarsening dynamics of liquid foam confined within the pores of spherical bead packings, where the size of the beads has been adjusted to modify the degree of confinement. We observe that, apart from the final configuration associated with the arrest of coarsening, the more we confine this system within small spaces, the more rapidly it coarsens. Moreover, the broadening of the particle size distribution has an opposite effect with respect to that observed for unconfined systems. This unexpected behavior is shown to arise from the coupling between the liquid trapped at the surface of the grains and the effective liquid volume fraction within the core of the pores.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1","pages":"L013401"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458863","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}

引用次数: 0

Existence and stability of equilibria in infectious disease dynamics with behavioral feedback. 具有行为反馈的传染病动力学平衡的存在性和稳定性。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014317

Tyrus Berry, Matthew Ferrari, Timothy Sauer, Steven J Greybush, Donald Ebeigbe, Andrew J Whalen, Steven J Schiff

{"title":"Existence and stability of equilibria in infectious disease dynamics with behavioral feedback.","authors":"Tyrus Berry, Matthew Ferrari, Timothy Sauer, Steven J Greybush, Donald Ebeigbe, Andrew J Whalen, Steven J Schiff","doi":"10.1103/PhysRevE.111.014317","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014317","url":null,"abstract":"Mathematical models have provided a general framework for understanding the dynamics and control of infectious disease. Many compartmental models are limited in that they do not account for the range of behavioral feedbacks that have been observed in the response to emerging infections. Here we expand on the SIR compartmental model framework by introducing a general class of behavioral feedbacks that encompasses both individual responses and nonpharmaceutical interventions. By linking transmission dynamics and behavior, this class of models can capture the interplay of disease incidence, behavioral response, and controls such as vaccination. We prove mathematically the existence of two endemic equilibria depending on the vaccination rate: one in the presence of low vaccination but with reduced societal activity (the \"new normal\"), and one with return to normal activity but with vaccination rate below that required for disease elimination. Establishing the existence and stability of these equilibria is a precursor to designing control strategies that may exploit them.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014317"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458869","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}

引用次数: 0

Heider balance on Archimedean lattices and cliques. 阿基米德格和团的海德平衡。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014310

Krzysztof Malarz, Maciej Wołoszyn, Krzysztof Kułakowski

引用次数: 0

Selection principle for the screening parameters in the mechanical response of amorphous solids. 非晶固体力学响应中筛分参数的选择原则。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.015506

Pawandeep Kaur, Itamar Procaccia, Tuhin Samanta

引用次数: 0

Evaluating ion dynamics through Coulomb and Yukawa interaction potentials in one-component strongly coupled plasmas. 通过单组分强耦合等离子体中的库仑和汤川相互作用势评估离子动力学。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.015208

Swati Swagatika Mishra, Sudeep Bhattacharjee, Pascal Brault

{"title":"Evaluating ion dynamics through Coulomb and Yukawa interaction potentials in one-component strongly coupled plasmas.","authors":"Swati Swagatika Mishra, Sudeep Bhattacharjee, Pascal Brault","doi":"10.1103/PhysRevE.111.015208","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015208","url":null,"abstract":"Atmospheric pressure helium plasmas are investigated through molecular dynamics simulations at room temperature (300 K) for various ionization fractions (χ_{i}=10^{-1}-10^{-5}) in the strongly coupled regime (ion coupling parameter, Γ_{i}∼1-10) employing Coulomb and Yukawa interaction potentials. The role of electron screening in ion dynamics and energetics is examined through ion and gas temperatures, mean squared displacement of ions, ion coupling parameter, and radial distribution function of the system. It is found that electron screening in the Yukawa potential significantly limits the disorder-induced heating (DIH) mechanism for strongly ionized plasmas (χ_{i}≥10^{-3}). Whereas, ions show a prominent subdiffusive behavior associated with the DIH during the nonequilibrium phase for the Coulomb potential. The DIH mechanism is explained using a model based upon the conservation of energy. However, for weakly ionized plasmas (χ_{i}≤10^{-4}), the maximum ion temperatures are almost similar for both potentials. Furthermore, electron screening affects the separation distance and arrangement of the ion-neutral pairs for all the values of χ_{i}. In general, Yukawa potential results in a lower mean potential energy of the interacting particles, which is energetically favorable for the stability of the system.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015208"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459164","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}

引用次数: 0

Dynamics of microscale and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation. 弱记忆状态下微尺度和纳米尺度系统的动力学：超越马尔可夫近似的数学框架。

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014137

Kay Brandner

{"title":"Dynamics of microscale and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation.","authors":"Kay Brandner","doi":"10.1103/PhysRevE.111.014137","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014137","url":null,"abstract":"The visible dynamics of small-scale systems are strongly affected by unobservable degrees of freedom, which can belong to either external environments or internal subsystems and almost inevitably induce memory effects. Formally, such inaccessible degrees of freedom can be systematically eliminated from essentially any microscopic model through projection operator techniques, which result in nonlocal time evolution equations. This article investigates how and under what conditions locality in time can be rigorously restored beyond the standard Markov approximation, which generally requires the characteristic timescales of accessible and inaccessible degrees of freedom to be sharply separated. Specifically, we consider nonlocal time evolution equations that are autonomous and linear in the variables of interest. For this class of models, we prove a mathematical theorem that establishes a well-defined weak-memory regime, where faithful local approximations exist, even if the relevant timescales are of comparable order of magnitude. The generators of these local approximations, which become exact in the long-time limit, are time independent and can be determined to arbitrary accuracy through a convergent perturbation theory in the memory strength, where the Markov generator is recovered in first order. For illustration, we work out three simple, yet instructive, examples covering coarse-grained Markov jump networks, semi-Markov jump processes, and generalized Langevin equations.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014137"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459251","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}

引用次数: 0