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Ergodicity breaking and restoration in models of heat transport with microscopic reversibility.
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014155
Piero Olla
{"title":"Ergodicity breaking and restoration in models of heat transport with microscopic reversibility.","authors":"Piero Olla","doi":"10.1103/PhysRevE.111.014155","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014155","url":null,"abstract":"<p><p>The behavior of lattice models in which time reversibility is enforced at the level of trajectories (microscopic reversibility) is studied analytically. Conditions for ergodicity breaking are explored, and a few examples of systems characterized by an additional conserved quantity besides energy are presented. All the systems are characterized by ergodicity restoration when put in contact with a thermal bath, except for specific choices of the interactions between the atoms in the system and the bath. The study shows that the additional conserved quantities return to play a role in nonequilibrium conditions. The similarities with the behavior of some mesoscale systems, in which the transition rates satisfy detailed balance but not microscopic reversibility, are discussed.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014155"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458531","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.
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":"<p><p>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.</p>","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.
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":"<p><p>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.</p>","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
Quantum channel learning.
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.015302
Mikhail Gennadievich Belov, Victor Victorovich Dubov, Alexey Vladimirovich Filimonov, Vladislav Gennadievich Malyshkin
{"title":"Quantum channel learning.","authors":"Mikhail Gennadievich Belov, Victor Victorovich Dubov, Alexey Vladimirovich Filimonov, Vladislav Gennadievich Malyshkin","doi":"10.1103/PhysRevE.111.015302","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015302","url":null,"abstract":"<p><p>The problem of an optimal mapping between Hilbert spaces IN and OUT, based on a series of density matrix mapping measurements ρ^{(l)}→ϱ^{(l)}, l=1⋯M, is formulated as an optimization problem maximizing the total fidelity F=∑_{l=1}^{M}ω^{(l)}F(ϱ^{(l)},∑_{s}B_{s}ρ^{(l)}B_{s}^{†}) subject to probability preservation constraints on Kraus operators B_{s}. For F(ϱ,σ) in the form that total fidelity can be represented as a quadratic form with superoperator F=∑_{s}〈B_{s}|S|B_{s}〉 (either exactly or as an approximation) an iterative algorithm is developed. The work introduces two important generalizations of unitary learning: (1) IN/OUT states are represented as density matrices; (2) the mapping itself is formulated as a mixed unitary quantum channel A^{OUT}=∑_{s}|w_{s}|^{2}U_{s}A^{IN}U_{s}^{†} (no general quantum channel yet). This marks a crucial advancement from the commonly studied unitary mapping of pure states ϕ_{l}=Uψ_{l} to a quantum channel, which allows us to distinguish probabilistic mixture of states and their superposition. An application of the approach is demonstrated on unitary learning of density matrix mapping ϱ^{(l)}=Uρ^{(l)}U^{†}, in this case a quadratic on U fidelity can be constructed by considering sqrt[ρ^{(l)}]→sqrt[ϱ^{(l)}] mapping, and on a quantum channel, where quadratic on B_{s} fidelity is an approximation-a quantum channel is then obtained as a hierarchy of unitary mappings, a mixed unitary channel. The approach can be applied to studying quantum inverse problems, variational quantum algorithms, quantum tomography, and more. A software product implementing the algorithm is available from the authors.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015302"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458876","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
Quasiphase transition of a single-file water chain influenced by atomic charges in a water model using orientational-biased replica exchange Monte Carlo simulations.
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.015419
Liang Zhao, Junqing Ni, Zhi Zhu, Yusong Tu, Chunlei Wang
{"title":"Quasiphase transition of a single-file water chain influenced by atomic charges in a water model using orientational-biased replica exchange Monte Carlo simulations.","authors":"Liang Zhao, Junqing Ni, Zhi Zhu, Yusong Tu, Chunlei Wang","doi":"10.1103/PhysRevE.111.015419","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015419","url":null,"abstract":"<p><p>The recently observed temperature-dependent quasiphase transition of the single-file water chain confined within a carbon nanotube in experiments has been validated by the simple lattice theory and molecular dynamics simulations. It has been pointed out that the atomic charges in water models are important, yet how the values will affect the structural details and thermodynamic properties of the quasiphase transition has not been fully revealed. In this work we perform orientational-biased replica exchange Monte Carlo simulations in the canonical ensemble to explore the effect of atomic charges in the SPC/E water model on the quasiphase transition of a single-file water chain. Based on the atomic charge values reported in literature, three distinct quasiphases are reproduced, comprising a fully hydrogen-bonded water chain at lower temperatures, a more ordered dipolar orientation along the tube axis at intermediate temperatures, and a completely disordered structure at higher temperatures. Then by increasing the atomic charge values, we find that the fragmentation of the entire water chain into shorter water segments, the orientational ordering of water dipoles along the tube axis, and the transition towards complete disorder are all inhibited. Consequently, the transition temperatures between three quasiphases have been shifted to higher temperatures. The thermodynamic analysis demonstrates that the increased atomic charge values enhance the hydrogen bonding between neighboring water molecules and also the electrostatic attraction within the water chain, leading to a longer water dipole correlation length even at higher temperatures. These findings highlight the vital role of atomic charges in water models and also the electrostatic interaction in regulating the orientational ordering of water molecules under nanoconfinement.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015419"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458905","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
Factors influencing the stability of the motor-clutch model on compliant substrates under external load.
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014417
Beibei Shen, Yunxin Zhang
{"title":"Factors influencing the stability of the motor-clutch model on compliant substrates under external load.","authors":"Beibei Shen, Yunxin Zhang","doi":"10.1103/PhysRevE.111.014417","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014417","url":null,"abstract":"<p><p>Cellular migration is crucial for biological processes, including embryonic development, immune response, and wound healing. The myosin-clutch model is a framework that describes how cells control migration through the interactions between myosin, the clutch mechanism, and the substrate. This model is related to how cells regulate adhesion, generate traction forces, and move on compliant substrates. In this study, we present a five-dimensional nonlinear autonomous system to investigate the influences of myosin, clutches, substrate, and external load on the system's stability. Moreover, we analyze the effects of various parameters on fixed points and explore the frequency and amplitude of the limit cycle associated with oscillations. We discovered that the system demonstrates oscillatory behavior when the velocity of the myosin motor is relatively low or when the ratio of motor attachment rate to motor detachment rate is relatively high. The external load shares a fraction of the force exerted by myosin motors, thereby diminishing the force endured by the clutches. Within a specific range, an increase in external load not only diminishes and eventually eliminates the region lacking fixed points but also decelerates clutch detachment, enhancing clutch protein adherence.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014417"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458916","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
Scaling relations of spectral form factor and Krylov complexity at finite temperature.
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":"<p><p>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.</p>","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.
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":"<p><p>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.</p>","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.
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
{"title":"Asymptotic integrability and Hamilton theory of soliton motion along large-scale background waves.","authors":"A M Kamchatnov","doi":"10.1103/PhysRevE.111.014202","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014202","url":null,"abstract":"<p><p>We consider the problem of soliton mean-field interaction for the class of asymptotically integrable equations, where the notion of asymptotic integrability means that the Hamilton equations for a high-frequency wave packet's propagation along a large-scale background wave have an integral of motion. Using Stokes' remark, we transform this integral to an integral for the soliton equations of motion and then derive the Hamilton equations for the soliton dynamics in a universal form expressed in terms of the Riemann invariants for the hydrodynamic background wave. The physical properties are specified by the concrete expressions for the Riemann invariants. The theory is illustrated by its application to soliton dynamics, which is described by the Kaup-Boussinesq system.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014202"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458945","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.
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
{"title":"Heider balance on Archimedean lattices and cliques.","authors":"Krzysztof Malarz, Maciej Wołoszyn, Krzysztof Kułakowski","doi":"10.1103/PhysRevE.111.014310","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014310","url":null,"abstract":"<p><p>We investigate the work function U(T) for the Heider balance, driven by a thermal noise T, on several planar networks that contain separated triangles, pairs of triangles, chains of triangles, and complex structures of triangles. In simulations, the heat-bath algorithm is applied. Two schemes of link values updating are considered: synchronous and asynchronous (sequential). The latter results are compared with analytical calculations for small cliques. We argue that the actual shape of U(T) is a consequence of a local topology rather than of a macroscopic ordering. Finally, we present the mathematical proof that for any planar lattice, perfect structural (Heider) balance is unreachable at T>0.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014310"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458962","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
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