Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024107
Gabriel Artur Weiderpass, Mayur Sharma, Savdeep Sethi
{"title":"Solving the kinetic Ising model with nonreciprocity.","authors":"Gabriel Artur Weiderpass, Mayur Sharma, Savdeep Sethi","doi":"10.1103/PhysRevE.111.024107","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024107","url":null,"abstract":"<p><p>Nonreciprocal interactions are a generic feature of nonequilibrium systems. We define a nonreciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for infinite, semi-infinite, and finite systems with either periodic or open boundary conditions. The exact solution allows us to explore a range of novel phenomena tied to nonreciprocity like nonreciprocity induced frustration and wave phenomena with interesting parity-dependence for finite systems of size N. We study dynamical questions like the approach to equilibrium with various boundary conditions. We find different regimes, separated by Nth-order exceptional points, which can be classified as overdamped, underdamped, or critically damped phases. Despite these different regimes, long-time order is only present at zero temperature. Additionally, we explore the low-energy behavior of the system in various limits, including the aging and spatiotemporal Porod regimes, demonstrating that nonreciprocity induces unique scaling behavior at zero temperature. Lastly, we present general results for systems where spins interact with no more than two spins, outlining the conditions under which long-time order may exist.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024107"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659268","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025402
Rajratan Basu
{"title":"Reduced ionic effects and enhanced spontaneous polarization in a ferroelectric liquid crystal device employing a two-dimensional hexagonal boron nitride planar-alignment agent.","authors":"Rajratan Basu","doi":"10.1103/PhysRevE.111.025402","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025402","url":null,"abstract":"<p><p>The presence of excess free-ion impurities in ferroelectric liquid crystals (FLCs) results in several issues in electro-optical liquid-crystal displays (LCDs), such as slow electro-optical responses and image-sticking effects. This study experimentally demonstrated that two-dimensional (2D) hexagonal boron nitride (h-BN) nanosheets can function as both planar alignment and ion-capturing agents in an electro-optic FLC device. The 2D h-BN nanosheet was used as a planar alignment agent on one side of an LC cell, while a standard planar-aligning polyimide (PI) layer was used on the other side of the cell. The FLC exhibited uniform planar alignment in this h-BN-PI cell configuration. The results showed that free-ion impurities in the FLC were significantly suppressed in the h-BN-PI cell compared to a standard PI-PI LC cell. This reduction in free-ion density in the h-BN-PI cell was attributed to the ion-capturing capability of the 2D h-BN nanosheets. Consequently, the reduction of ionic impurities led to enhanced effective spontaneous polarization and accelerated electro-optic response of the FLC in the h-BN-based cell.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025402"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659373","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024144
E Di Bernardo, J M Brader
{"title":"Asymptotic methods for confined fluids.","authors":"E Di Bernardo, J M Brader","doi":"10.1103/PhysRevE.111.024144","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024144","url":null,"abstract":"<p><p>The thermodynamics and microstructure of confined fluids with small particle number are best described using the canonical ensemble. However, practical calculations can usually only be performed in the grand-canonical ensemble, which can introduce unphysical artifacts. We employ the method of asymptotics to transform grand-canonical observables to the canonical ensemble, where the former can be conveniently obtained using the classical density functional theory of inhomogeneous fluids. By formulating the ensemble transformation as a contour integral in the complex fugacity plane we reveal the influence of the Yang-Lee zeros in determining the form and convergence properties of the asymptotic series. The theory is employed to develop expansions for the canonical partition function and the canonical one-body density. Numerical investigations are then performed using an exactly soluble one-dimensional model system of hard rods.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024144"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659430","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":"Data-driven discovery of self-similarity using neural networks.","authors":"Ryota Watanabe, Takanori Ishii, Yuji Hirono, Hirokazu Maruoka","doi":"10.1103/PhysRevE.111.024301","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024301","url":null,"abstract":"<p><p>Finding self-similarity is a key step for understanding the governing law behind complex physical phenomena. Traditional methods for identifying self-similarity often rely on specific models, which can introduce significant bias. In this paper, we present a neural network-based approach that discovers self-similarity directly from observed data, without presupposing any models. The presence of self-similar solutions in a physical problem signals that the governing law contains a function whose arguments are given by power-law monomials of physical parameters, which are characterized by power-law exponents. The basic idea is to enforce such particular forms structurally in a neural network in a parametrized way. We train the neural network model using the observed data, and when the training is successful, we can extract the power exponents that characterize scale-transformation symmetries of the physical problem. We demonstrate the effectiveness of our method with both synthetic and experimental data, validating its potential as a robust, model-independent tool for exploring self-similarity in complex systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024301"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659539","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025404
Dino Osmanović, Elisa Franco
{"title":"Complex dynamics in reaction-phase separation systems.","authors":"Dino Osmanović, Elisa Franco","doi":"10.1103/PhysRevE.111.025404","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025404","url":null,"abstract":"<p><p>We investigate the emergence of sustained spatiotemporal behaviors in reaction-phase separation systems. We focus on binary systems, in which either one or both species can phase separate, and we discuss the stability of the homogeneous state determining the conditions for the emergence of a Hopf-type bifurcation. We then examine the effects of a specific autocatalytic chemical reaction, and computationally determine the full solutions to the partial differential equations. We find that when both species phase separate, sustained pulsed dynamics arise in one dimension. When considered in two dimensions, the system generates persistent, complex dynamic droplets, which do not generally appear if only one of the species can phase separate. We finally discuss the emergence of dynamics with complex features, which can be understood using the framework of a cellular automata.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025404"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659115","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":"Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics.","authors":"Davide Santolin, Nahuel Freitas, Massimiliano Esposito, Gianmaria Falasco","doi":"10.1103/PhysRevE.111.024106","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024106","url":null,"abstract":"<p><p>For overdamped Langevin systems subjected to weak thermal noise and nonconservative forces, we establish a connection between Freidlin-Wentzell large deviations theory and stochastic thermodynamics. First, we derive a series expansion of the quasipotential around the detailed-balance solution, that is, the system's free energy, and identify the conditions for the linear response regime to hold, even far from equilibrium. Second, we prove that the escape rate from dissipative fixed points of the macroscopic dynamics is bounded by the entropy production of trajectories that relax into and escape from the attractors. These results provide the foundation to study the nonequilibrium thermodynamics of dissipative metastable states.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024106"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659356","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024305
Yi-Duo Chen, Jian-Yue Guan, Zhi-Xi Wu
{"title":"Coevolutionary game dynamics with localized environmental resource feedback.","authors":"Yi-Duo Chen, Jian-Yue Guan, Zhi-Xi Wu","doi":"10.1103/PhysRevE.111.024305","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024305","url":null,"abstract":"<p><p>Dynamic environments shape diverse dynamics in evolutionary game systems. We introduce spatial heterogeneity of resources into the prisoner's dilemma game model to explore coevolutionary game dynamics with environmental feedback. The availability of resources significantly affects the survival competitiveness of surrounding individuals. Feedback between individuals' strategies and the resources they can use leads to the oscillating dynamic known as the \"oscillatory tragedy of the commons.\" Our findings indicate that when the influence of individuals' strategies on the update rate of resources is significantly high in systems characterized by environmental heterogeneity, they can attain an equilibrium state that avoids the oscillatory tragedy. In contrast to the numerical results obtained in well-mixed structures, self-organized clustered patterns emerge in simulations utilizing square lattices, further enhancing the stability of the system. We discuss critical phenomena in detail, demonstrating that the aforementioned transition is robust across various system parameters, including the strength of cooperators in restoring the environment, initial distributions of cooperators, system size and structures, and noise.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024305"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659508","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025407
Li Wan
{"title":"Nonelectrostatic interactions as random fields in charged liquids.","authors":"Li Wan","doi":"10.1103/PhysRevE.111.025407","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025407","url":null,"abstract":"<p><p>We derive an equation capable of treating both electrostatic and nonelectrostatic interactions in charged liquids. The resulting equation is a complex version of the Poisson-Boltzmann equation, where nonelectrostatic interactions are represented as random fields through field theory. Consequently, the nonelectrostatic interactions of ions in charged liquids can be easily simulated by generating random numbers in accordance with these random fields. To solve the equation, we employ the finite element method. The nonelectrostatic interactions incorporated into the equation are general. In this study, we take the steric effect of ions as an example. The results show that the equation can capture the steric effect clearly. The steric effect excludes ions at the boundaries and alters the ion distribution within the bulk domain. In charged liquids with screening domains intersected, the steric effect in the bulk diminishes the steric effect at the boundaries.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025407"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659335","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025420
Danqi Lang, Lorenzo Costigliola, Jeppe C Dyre
{"title":"NVU view on energy polydisperse Lennard-Jones systems.","authors":"Danqi Lang, Lorenzo Costigliola, Jeppe C Dyre","doi":"10.1103/PhysRevE.111.025420","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025420","url":null,"abstract":"<p><p>When energy polydispersity is introduced into the Lennard-Jones (LJ) system, there is little effect on structure and dynamics [T. S. Ingebrigtsen and J. C. Dyre, J. Phys. Chem. B 127, 2837 (2023)10.1021/acs.jpcb.3c00346]. For instance, at a given state point both the radial distribution function and the mean-square displacement as a function of time are virtually unaffected by even large energy polydispersity, which is in stark contrast to what happens when size polydispersity is introduced. We here argue-and validate by simulations of up to 30% polydispersity-that this almost invariance of structure and dynamics reflects an approximate invariance of the constant-potential-energy surface. Because NVU dynamics defined as geodesic motion at constant potential energy is equivalent to Newtonian dynamics in the thermodynamic limit, the approximate invariance of the constant-potential-energy surface implies virtually the same physics of energy polydisperse LJ systems as of the standard single-component version. In contrast, the constant-potential-energy surface is significantly affected by introducing size polydispersity.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025420"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659337","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025101
S Toppaladoddi, A J Wells
{"title":"Stochastic model for the turbulent ocean heat flux under Arctic sea ice.","authors":"S Toppaladoddi, A J Wells","doi":"10.1103/PhysRevE.111.025101","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025101","url":null,"abstract":"<p><p>The physics of planetary climate features a variety of complex systems that are challenging to model as they feature turbulent flows. A key example is the heat flux from the upper ocean to the underside of sea ice which provides a key contribution to the evolution of the Arctic sea ice cover. Here, we develop a model of the turbulent ice-ocean heat flux using coupled ordinary stochastic differential equations to model fluctuations in the vertical velocity and temperature in the Arctic mixed layer. All the parameters in the model are determined from observational data. A detailed comparison between the model results and measurements made during the Surface Heat Budget of the Arctic Ocean (SHEBA) project reveals that the model is able to capture the probability density functions (PDFs) of velocity, temperature, and heat flux fluctuations. Furthermore, we show that the temperature in the upper layer of the Arctic Ocean can be treated as a passive scalar during the whole year of SHEBA measurements. The stochastic model developed here provides a computationally inexpensive way to compute an observationally consistent PDF of this heat flux and has implications for its parametrization in regional and global climate models.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025101"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659399","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}