Physical review. E最新文献_第7页

First-passage times to a fractal boundary: Local persistence exponent and its log-periodic oscillations.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014153

Yilin Ye, Adrien Chaigneau, Denis S Grebenkov

引用次数: 0

Self-consistent expansion and field-theoretic renormalization group for a singular nonlinear diffusion equation with anomalous scaling.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014145

Minhui Zhu, Nigel Goldenfeld

{"title":"Self-consistent expansion and field-theoretic renormalization group for a singular nonlinear diffusion equation with anomalous scaling.","authors":"Minhui Zhu, Nigel Goldenfeld","doi":"10.1103/PhysRevE.111.014145","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014145","url":null,"abstract":"The method of self-consistent expansions is a powerful tool for handling strong coupling problems that might otherwise be beyond the reach of perturbation theory, providing surprisingly accurate approximations even at low order. First applied in its embryonic form to fully-developed turbulence, it has subsequently been successfully applied to a variety of problems that include polymer statistics, interface dynamics, and high-order perturbation theory for the anharmonic oscillator. Here, we show that the self-consistent expansion can be applied to singular perturbation problems arising in the theory of partial differential equations in conjunction with renormalization group methods. We demonstrate its application to Barenblatt's nonlinear diffusion equation for porous media filtration, where the long-time asymptotics exhibits anomalous dimensions that can be systematically calculated using the perturbative renormalization group. We find that even the first-order self-consistent expansion, when combined with the Callan-Symanzik equation, improves the approximation of the anomalous dimension obtained by the first-order perturbative renormalization group, especially in the strong coupling regime. We also develop a field-theoretic framework for deterministic partial differential equations to facilitate the application of self-consistent expansions to other dynamic systems and illustrate its application using the example of Barenblatt's equation. The scope of our results on the application of renormalization group and self-consistent expansions is limited to partial differential equations whose long-time asymptotics is controlled by incomplete similarity. However, our work suggests that these methods could be applied to a broader suite of singular perturbation problems such as boundary layer theory, multiple scales analysis, and matched asymptotic expansions, for which excellent approximations using renormalization group methods alone are already available.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014145"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458932","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 two-state random walk model: Nontrivial anomalous diffusion, aging, and ergodicity breaking.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014148

Yuhang Hu, Jian Liu

{"title":"Generalized two-state random walk model: Nontrivial anomalous diffusion, aging, and ergodicity breaking.","authors":"Yuhang Hu, Jian Liu","doi":"10.1103/PhysRevE.111.014148","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014148","url":null,"abstract":"The intermittent stochastic motion is a dichotomous process that alternates between two distinct states. This phenomenon, observed across various physical and biological systems, is attracting increasing interest and highlighting the need for comprehensive theories to describe it. In this paper, we introduce a generalized intermittent random walk model based on a renewal process that alternates between the continuous time random walk (CTRW) state and the generalized Lévy walk (gLW) state. Notably, the nonlinear space-time coupling inherent in the gLW state allows this generalized model to encompass a variety of random walk models and makes it applicable to diverse systems. By deriving the velocity correlation function and utilizing the scaling Green-Kubo relation, the ensemble-averaged and time-averaged mean-squared displacement (MSD) is calculated, and the anomalous diffusive behavior, aging effect, and ergodic property of the model are further analyzed and discussed. The results reveal that, due to the intermittent nature, there are two diffusive terms in the expression of the MSD, and the diffusion can be intermediately characterized by the diffusive term with the largest diffusion coefficient instead of the diffusive term with the largest diffusion exponent, which is significantly different from single-state stochastic process. We demonstrate that, due to the power-law distribution of sojourn times, nonlinear space-time coupling, and intermittent characteristics, both ergodicity and nonergodicity can coexist in intermittent stochastic processes.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014148"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458942","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

Steady-state solution of Markov jump processes in terms of arrival probabilities.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014126

Diego Frezzato

引用次数: 0

Stochastic resetting in a nonequilibrium environment.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014150

Koushik Goswami

{"title":"Stochastic resetting in a nonequilibrium environment.","authors":"Koushik Goswami","doi":"10.1103/PhysRevE.111.014150","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014150","url":null,"abstract":"This study examines the dynamics of a tracer particle diffusing in a nonequilibrium medium under stochastic resetting. The nonequilibrium state is induced by harmonic coupling between the tracer and bath particles, generating memory effects with an exponential decay in time. We explore the tracer's behavior under a Poissonian resetting protocol, where resetting does not disturb the bath environment, with a focus on key dynamical behavior and first-passage properties, both in the presence and absence of an external force. The interplay between coupling strength and diffusivity of bath particles significantly impacts both the tracer's relaxation dynamics and search time, with external forces further modulating these effects. Our analysis identifies distinct hot and cold bath particles based on their diffusivities, revealing that coupling to a hot particle facilitates the searching process, whereas coupling to a cold particle hinders it. Using a combination of numerical simulations and analytical methods, this study provides a comprehensive framework for understanding resetting mechanisms in non-Markovian systems, with potential applications to complex environments such as active and viscoelastic media, where memory-driven dynamics and nonequilibrium interactions are significant.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014150"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458952","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

Structure of random Turing-like patterns in discrete-time systems is determined by the initial conditions.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014206

Huimin Zhang, Jian Gao, Changgui Gu, Chuansheng Shen, Huijie Yang

{"title":"Structure of random Turing-like patterns in discrete-time systems is determined by the initial conditions.","authors":"Huimin Zhang, Jian Gao, Changgui Gu, Chuansheng Shen, Huijie Yang","doi":"10.1103/PhysRevE.111.014206","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014206","url":null,"abstract":"Patterns, spatiotemporal ordered structures, are prevalent in diverse systems, arising from the emergence of complexity. Turing proposed a mechanism that involves a short-range activator and a long-range inhibitor to explain the formation of patterns, and patterns that satisfy this mechanism are called Turing patterns. Patterns with similar structures but not caused by the Turing mechanism are referred to as Turing-like patterns. In the absence of external influences, the structure of Turing patterns is generally determined by control parameters. In this study, we revealed that the structure of Turing-like patterns in discrete-time systems is only determined by the ratio of states in the initial conditions. As the ratio changes, the structure of patterns transitions from spots to labyrinth and eventually to inverse spots. We proposed the structure parameter for the quantitative description of the structure of the patterns. And the structure parameter is directly proportional to the ratio in the initial conditions. The mechanism underlying this structure control is attributed to the traversability of multiperiodic states in discrete-time systems, where each local point will go through all states in the periodic orbit. Our findings shed light on the pattern formation for Turing-like patterns in discrete-time systems.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014206"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458974","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

Rheology of nonconvex granular flows based on particle rotational characteristics.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.015415

Wenjin Han, He Zhao, Dengming Wang

{"title":"Rheology of nonconvex granular flows based on particle rotational characteristics.","authors":"Wenjin Han, He Zhao, Dengming Wang","doi":"10.1103/PhysRevE.111.015415","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015415","url":null,"abstract":"Particle shape has a profound impact on the flow behaviors of granular materials, yet effectively incorporating the role of particle shape into granular rheology remains challenging. In this study, we employ three representative types of nonconvex particles generated through the multisphere approach and identify a consistent one-to-one relationship between the rescaled friction coefficient and the inertial number I across both inertial and quasistatic flow regimes. However, variations in particle shape cause notable deviations in rheological data compared to their spherical counterparts. Based on the observed dependence of rheological data on I for various nonconvex particles and their convergence at high I, we propose an inertial number I_{s} to effectively capture the impact of particle shape on flow states. The model parameters defining I_{s} are shown to be nearly independent of flow states and configurations, with physical interpretations related to particle rotational characteristics during shear. For practical application, we propose an empirical formula to capture the dependence of model parameters on particle geometrical shapes. The robustness of the proposed model is validated by predicting flow in an inclined flow configuration and applying it to additional nonconvex particles with more irregular and asymmetric features. This establishes a crucial foundation for extending the application of this generalized rheological model to other complex granular flows.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015415"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143458992","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

Linear coupling of patterning systems can have nonlinear effects.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014224

N Mahashri, Thomas E Woolley, M Chandru

引用次数: 0

Intermittent cluster synchronization in a unidirectional ring of bursting neurons.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014215

R Sree Ardhanareeswaran, S Sudharsan, M Senthilvelan, Dibakar Ghosh

{"title":"Intermittent cluster synchronization in a unidirectional ring of bursting neurons.","authors":"R Sree Ardhanareeswaran, S Sudharsan, M Senthilvelan, Dibakar Ghosh","doi":"10.1103/PhysRevE.111.014215","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014215","url":null,"abstract":"We report a new mechanism through which extreme events with a dragon-king-like distribution emerge in a network of unidirectional ring of Hindmarsh-Rose bursting neurons interacting through chemical synapses. We establish and substantiate the fact that depending on the choice of initial conditions, the neurons are divided into different clusters. These clusters transit from a phase-locked state (antiphase) to phase synchronized regime with increasing value of the coupling strength. Before attaining phase synchronization, there exist some regions of the coupling strength where these clusters are phase synchronized intermittently. During such intermittent phase synchronization, extreme events originate in the mean field of the membrane potential. This mechanism, which we name as intermittent cluster synchronization, is proposed as the new precursor for the generation of emergent extreme events in this system. These results are also true for diffusive coupling (gap junctions). The distribution of the local maxima of the collective observable shows a long-tailed non-Gaussian while the interevent interval follows the Weibull distribution. The goodness of fit is corroborated using probability-probability plot and quantile-quantile plot. This intermittent phase synchronization becomes rarer and rarer with an increase in the number of clusters of initial conditions.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014215"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459035","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

Time-dependent Hamiltonians and geometry of operators generated by them.

IF 2.4 3区物理与天体物理

Physical review. E Pub Date : 2025-01-01 DOI: 10.1103/PhysRevE.111.014104

Kunal Pal, Kuntal Pal

引用次数: 0