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Universality of giant diffusion in tilted periodic potentials.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024113
Kento Iida, Takuma Akimoto, Andreas Dechant
{"title":"Universality of giant diffusion in tilted periodic potentials.","authors":"Kento Iida, Takuma Akimoto, Andreas Dechant","doi":"10.1103/PhysRevE.111.024113","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024113","url":null,"abstract":"<p><p>Giant diffusion, where the diffusion coefficient of a Brownian particle in a periodic potential with an external force is significantly enhanced by the external force, is a nontrivial nonequilibrium phenomenon. We propose a simple stochastic model of giant diffusion, which is based on a biased continuous-time random walk (CTRW) with flight time. By introducing a flight time representing traversal dynamics, we derive the diffusion coefficient using renewal theory and demonstrate its universal peak behavior under various periodic potentials, especially in low-temperature regimes. Giant diffusion is universally observed in the sense that there is a peak of the diffusion coefficient for any tilted periodic potentials and the degree of the diffusivity is greatly enhanced especially for low-temperature regimes. The biased CTRW models with flight times are applied to diffusion under three tilted periodic potentials. Furthermore, the temperature dependence of the maximum diffusion coefficient and the external force that attains the maximum are presented for diffusion under a tilted sawtooth potential.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024113"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143658164","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
Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024208
Ryosuke Nishide, Shuji Ishihara
{"title":"Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces.","authors":"Ryosuke Nishide, Shuji Ishihara","doi":"10.1103/PhysRevE.111.024208","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024208","url":null,"abstract":"<p><p>Pattern dynamics on curved surfaces are ubiquitous. Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics. Recently, we reported that a static pattern on a flat plane can become a propagating pattern on a curved surface [Phys. Rev. Lett. 128, 224101 (2022)10.1103/PhysRevLett.128.224101]. By examining reaction-diffusion equations on axisymmetric surfaces, certain conditions for the onset of pattern propagation were determined. However, this analysis was limited by the assumption that the pattern propagates at a constant speed. Here, we investigate the pattern propagation driven by surface curvature using weakly nonlinear analysis, which enables a more comprehensive approach to the aforementioned problem. The analysis reveals consistent conditions of the pattern propagation similar to our previous results, and further predicts that rich dynamics other than pattern propagation, such as periodic and chaotic behaviors, can arise depending on the surface geometry. This study provides a perspective on the relationship between surfaces and pattern dynamics and a basis for controlling pattern dynamics on surfaces.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024208"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143658796","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
Generalized Hamiltonian of mean-force approach to open quantum systems coupled to finite baths in thermoequilibrium.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024139
Xuerui Du, Jianhui Wang, Yongli Ma
{"title":"Generalized Hamiltonian of mean-force approach to open quantum systems coupled to finite baths in thermoequilibrium.","authors":"Xuerui Du, Jianhui Wang, Yongli Ma","doi":"10.1103/PhysRevE.111.024139","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024139","url":null,"abstract":"<p><p>The prevailing method for addressing strong-coupling thermodynamics typically involves open quantum systems coupled to infinite baths in equilibrium through the Hamiltonian of mean force (HMF). However, its applicability to finite baths remains limited. In this work, we transcend this limit by considering the impacts of system-bath coupling which is not only on the system but also on the finite bath feedback. When the bath and system sizes are comparable, they act as each other's effective 'bath'. We introduce a parameter α within [0,1], where α and 1-α act as weighting factors to distribute the system-bath coupling between the system and the bath. Our approach innovatively incorporates the effect of coupling on the respective effective 'bath' into both the system and bath in the statistical factor form. We generalize the HMF and propose quantum Hamiltonians of mean forces to handle the distributed coupling of the system to finite baths. The additional parameter α is determined by minimizing the joint free energy density and is a new thermodynamic quantity representing the finite bath's influence. Examining the damped quantum harmonic oscillator with a finite bath, we find that α affects both states, leading to a complex phase diagram with unique phenomena at critical temperatures T_{L} and T_{R}, including valleys, peaks, negative values, and discontinuities in entropy and specific heat. Notably, these anomalies disappear when α→1, both at high temperatures and in the thermodynamic limit, indicating the negligible influence of coupling on the bath states and reverting to the HMF. Thus, studying finite-sized baths holds substantial significance in small quantum systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024139"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659123","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
Controlling multistimuli elastic response by bistable micromodules.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025403
Sven Pattloch, Joachim Dzubiella
{"title":"Controlling multistimuli elastic response by bistable micromodules.","authors":"Sven Pattloch, Joachim Dzubiella","doi":"10.1103/PhysRevE.111.025403","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025403","url":null,"abstract":"<p><p>Controlling the elastic response of materials to multiple stimuli is a key prerequisite for the design of adaptive soft matter, e.g., for applications in medicine or soft robotics. Here, we discuss a statistical mechanics model in which the nonlinear elastic response is governed by mechanically coupled bistable micromodules which can be switched by external stimuli. Exact analytical solutions show complex stimuli-mediated, nonlinear stiffening/softening responses tuneable by the microscopic switching parameters. Importantly, we report up to two maxima in the softness (compliance) originating from cooperative transitions and show how to control their existence and properties. We demonstrate the usefulness of the model by fitting it to experimental extension-force data on various scales. We further illustrate how to explore the entire nonlinear response map as a function of multiple stimuli, utilizing distinct pathways to either cancel/reset or amplify the elastic responses through a combination of these stimuli. Our analysis should be useful for the design of nonlinear elasticity, e.g., in bistable microgel networks or mechanical metamaterials.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025403"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659211","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
Local nearby bifurcations lead to synergies in critical slowing down: The case of mushroom bifurcations.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024213
Mariona Fucho-Rius, Smitha Maretvadakethope, Àlex Haro, Tomás Alarcón, Josep Sardanyés, Rubén Pérez-Carrasco
{"title":"Local nearby bifurcations lead to synergies in critical slowing down: The case of mushroom bifurcations.","authors":"Mariona Fucho-Rius, Smitha Maretvadakethope, Àlex Haro, Tomás Alarcón, Josep Sardanyés, Rubén Pérez-Carrasco","doi":"10.1103/PhysRevE.111.024213","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024213","url":null,"abstract":"<p><p>The behavior of nonlinear systems near critical transitions has significant implications for stability, transients, and resilience in complex systems. Transient times, τ, become extremely long near phase transitions (or bifurcations) in a phenomenon known as critical slowing down, and are observed in electronic circuits, circuit quantum electrodynamics, ecosystems, and gene regulatory networks. Critical slowing down typically follows universal laws of the form τ∼|μ-μ_{c}|^{β}, with μ being the control parameter and μ_{c} its critical value. For instance, β=-1/2 close to saddle-node bifurcations. Despite intensive research on slowing down phenomena for single bifurcations, both local and global, the behavior of transients when several bifurcations are close to each other remains unknown. Here, we investigate transients near two saddle-node bifurcations merging into a transcritical one. Using a nonlinear gene-regulatory model and a normal form exhibiting a mushroom bifurcation diagram we show, both analytically and numerically, a synergistic, i.e., nonadditive, lengthening of transients due to coupled ghost effects and transcritical slowing down. We also show that intrinsic and extrinsic noise play opposite roles in the slowing down of the transition, allowing us to control the timing of the transition without compromising the precision of timing. This establishes molecular strategies to generate genetic timers with transients much larger than the typical timescales of the reactions involved.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024213"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659224","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
Local topology and perestroikas in protein structure and folding dynamics.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024406
Alexander Begun, Maxim N Chernodub, Alexander Molochkov, Antti J Niemi
{"title":"Local topology and perestroikas in protein structure and folding dynamics.","authors":"Alexander Begun, Maxim N Chernodub, Alexander Molochkov, Antti J Niemi","doi":"10.1103/PhysRevE.111.024406","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024406","url":null,"abstract":"<p><p>Methods of local topology are introduced to the field of protein physics. This is done by interpreting the folding and unfolding processes of a globular protein in terms of conformational bifurcations that alter the local topology of the proteins Cα backbone. The mathematical formulation extends Arnold's perestroikas to piecewise linear chains using the discrete Frenet frame formalism. In the low-temperature folded phase, the backbone geometry generalizes the concept of a Peano curve, with its modular building blocks modeled by soliton solutions of a discretized nonlinear Schrödinger equation. The onset of thermal unfolding begins when perestroikas change the flattening and branch points that determine the centers of solitons. When temperature increases, the perestroikas cascade, which leads to a progressive disintegration of the modular structures. The folding and unfolding processes are quantitatively characterized by a correlation function that describes the evolution of perestroikas under temperature changes. The approach provides a comprehensive framework for understanding the Physics of protein folding and unfolding transitions, contributing to the broader field of protein structure and dynamics.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024406"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659229","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
Oscillatory and chaotic pattern dynamics driven by surface curvature.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.L022202
Ryosuke Nishide, Shuji Ishihara
{"title":"Oscillatory and chaotic pattern dynamics driven by surface curvature.","authors":"Ryosuke Nishide, Shuji Ishihara","doi":"10.1103/PhysRevE.111.L022202","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L022202","url":null,"abstract":"<p><p>Patterns on curved surfaces are ubiquitous, yet the influence of surface geometry on pattern dynamics remains elusive. We recently reported a mechanism of pattern propagation in which a static pattern on a flat plane becomes a propagating pattern on a curved surface [Phys. Rev. Lett. 128, 224101 (2022)0031-900710.1103/PhysRevLett.128.224101]. Here, we address whether surface curvature can drive more complex pattern dynamics beyond propagation. By employing a combination of weakly nonlinear analysis and numerical simulation, we theoretically determine the condition for the emergence of pattern dynamics on curved surfaces and show that oscillatory and chaotic pattern dynamics can emerge by controlling the surface shapes. These findings highlight a role of surface topography in pattern formation and dynamics.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2","pages":"L022202"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659246","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
Memory of rotation in residual stress of paste.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025502
Hiroki Matsuda, Michio Otsuki
{"title":"Memory of rotation in residual stress of paste.","authors":"Hiroki Matsuda, Michio Otsuki","doi":"10.1103/PhysRevE.111.025502","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025502","url":null,"abstract":"<p><p>We numerically investigate the stress distribution in pastes after horizontal rotation by using an elastoplastic model. Residual stress remains as a memory of rotation. The stress in the circumferential direction increases after the rotation, whereas that in the radial direction decreases. The residual stress is analytically related to the plastic deformation induced by the rotation. Based on the time evolution of plastic deformation, we theoretically describe the mechanism of the changes in the stress distribution.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025502"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659299","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
Power-efficiency constraint for chemical motors.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024404
R X Zhai, Hui Dong
{"title":"Power-efficiency constraint for chemical motors.","authors":"R X Zhai, Hui Dong","doi":"10.1103/PhysRevE.111.024404","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024404","url":null,"abstract":"<p><p>Chemical gradients provide the primordial energy for biological functions by driving the mechanical movement of microscopic engines. Their thermodynamic properties remain elusive, especially concerning the dynamic change in energy demand in biological systems. In this article, we derive a constraint relation between the output power and the conversion efficiency for a chemically fueled steady-state rotary motor analogous to the F_{0} motor of ATPase. We find that the efficiency at maximum power is half of the maximum quasistatic efficiency. These findings shall aid in the understanding of natural chemical engines and inspire the manual design and control of chemically fueled microscale engines.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024404"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659177","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
Planted directed polymer: Inferring a random walk from noisy images.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024135
Sun Woo P Kim, Austen Lamacraft
{"title":"Planted directed polymer: Inferring a random walk from noisy images.","authors":"Sun Woo P Kim, Austen Lamacraft","doi":"10.1103/PhysRevE.111.024135","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024135","url":null,"abstract":"<p><p>We introduce and study the planted directed polymer, in which the path of a random walker is inferred from noisy \"images\" accumulated at each time step. Formulated as a nonlinear problem of Bayesian inference for a hidden Markov model, this problem is a generalization of the directed polymer problem of statistical physics, coinciding with it in the limit of zero signal to noise. For a one-dimensional walker we present numerical investigations and analytical arguments that no phase transition is present. When formulated on a Cayley tree, methods developed for the directed polymer are used to show that there is a transition with decreasing signal to noise where effective inference becomes impossible, meaning that the average fractional overlap between the inferred and true paths falls from one to zero.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024135"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659176","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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