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The formation of out-of-equilibrium patterns is a characteristic feature of spatially-extended, biodiverse, ecological systems. Intriguing examples are provided by cyclic competition of species, as metaphorically described by the…

种群与进化 · 定量生物学 2008-08-31 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

We study the critical behavior of a noisy kinetic opinion model subject to resilience to change depending on aging, defined as the time spent on the current opinion state. In this model, the opinion of each agent can take the three discrete…

物理与社会 · 物理学 2024-08-01 Allan R. Vieira , Jaume Llabrés , Raúl Toral , Celia Anteneodo

The Poisson process is the most elementary continuous-time stochastic process that models a stream of repeating events. It is uniquely characterised by a single parameter called the rate. Instead of a single value for this rate, we here…

概率论 · 数学 2019-06-05 Alexander Erreygers , Jasper De Bock

Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we…

种群与进化 · 定量生物学 2007-05-23 B. Spagnolo , D. Valenti , A. Fiasconaro

We present a statistical method for complex energy landscape exploration which provides information on the metastable states--or valleys--actually explored by an unperturbed aging process following a quench. Energy fluctuations of record…

统计力学 · 物理学 2009-11-10 Jesper Dall , Paolo Sibani

We study the escape problem for interacting, self-propelled particles confined to a disc, where particles can exit through one open slot on the circumference. Within a minimal 2D Vicsek model, we numerically study the statistics of escape…

统计力学 · 物理学 2021-01-04 Kristian Stølevik Olsen , Luiza Angheluta , Eirik Grude Flekkøy

The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a…

斑图形成与孤子 · 物理学 2023-01-20 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

统计力学 · 物理学 2013-09-09 Maurizio Fagotti

We analyze a class of stochastic processes, referred to as asynchronous and semi-anonymous dynamics (ASD), over directed labeled random networks. These processes are a natural tool to describe general best-response and noisy best-response…

社会与信息网络 · 计算机科学 2021-02-09 Chiara Ravazzi , Giacomo Como , Michele Garetto , Emilio Leonardi , Alberto Tarable

There exists compelling experimental evidence in numerous systems for logarithmically slow time evolution, yet its theoretical understanding remains elusive. We here introduce and study a generic transition process in complex systems, based…

统计力学 · 物理学 2013-03-27 Michael A. Lomholt , Ludvig Lizana , Ralf Metzler , Tobias Ambjornsson

Active systems are characterized by a continuous production of entropy at steady state. We study the statistics of entropy production within a lattice-based model of interacting active particles that is capable of motility-induced phase…

统计力学 · 物理学 2022-12-21 Tal Agranov , Michael E. Cates , Robert L. Jack

We investigate the dynamics of pairs of Fermions and Bosons released from a box and find that their populations have unique generic properties ensuing from the axioms of quantum statistics and symmetries. These depend neither on the…

量子物理 · 物理学 2013-03-20 Avi Marchewka , Er'el Granot

Understanding under what conditions interacting populations, whether they be plants, animals, or viral particles, coexist is a question of theoretical and practical importance in population biology. Both biotic interactions and…

种群与进化 · 定量生物学 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé

We consider a one-dimensional gas of $N$ independent Brownian particles subject to simultaneous stochastic resetting, with inter-reset times drawn from a general waiting-time distribution $\psi(\tau)$. This includes the well-known…

统计力学 · 物理学 2026-01-28 Gabriele de Mauro , Marco Biroli , Satya N. Majumdar , Gregory Schehr

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

软凝聚态物质 · 物理学 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · 物理学 2008-06-25 Mark M. Millonas

The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

软凝聚态物质 · 物理学 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

Many natural phenomena are quantified by counts of observable events, from the annihilation of quasiparticles in a lattice to predator-prey encounters on a landscape to spikes in a neural network. These events are triggered at random…

The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a…

统计力学 · 物理学 2020-01-27 Weigang Liu , Uwe C. Täuber

We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface. The dynamics is modelled by a discrete time quantum walk and the spatial degree of freedom of the mobile anyon becomes…

量子物理 · 物理学 2011-07-25 Lauri Lehman , Vaclav Zatloukal , Gavin K. Brennen , Jiannis K. Pachos , Zhenghan Wang
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