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Via molecular dynamics simulations, we study the kinetics in a phase separating active matter model. Quantitative results for the isotropic bicontinuous pattern formation, its growth and aging, studied, respectively, via the two-point…

软凝聚态物质 · 物理学 2016-05-27 Subir K. Das

We continue our study of the linear response of a nonequilibrium system. This Part II concentrates on models of open and driven inertial dynamics but the structure and the interpretation of the result remain unchanged: the response can be…

统计力学 · 物理学 2010-05-02 Marco Baiesi , Eliran Boksenbojm , Christian Maes , Bram Wynants

In many social complex systems, in which agents are linked by non-linear interactions, the history of events strongly influences the whole network dynamics. However, a class of "commonly accepted beliefs" seems rarely studied. In this…

We present a new decomposition of transfer entropy to characterize the degree of synergy- and redundancy-dominated influence a time series has upon the interaction between other time series. We prove the existence of a class of time series,…

信息论 · 计算机科学 2024-05-07 Jan Østergaard , Payam Boubakani

We consider linear age-structured population equations with diffusion. Supposing maximal regularity of the diffusion operator, we characterize the generator and its spectral properties of the associated strongly continuous semigroup. In…

偏微分方程分析 · 数学 2012-01-13 Christoph Walker

The aim of this paper is to develop suitable models for the phenomenon of cell blebbing, which allow for computational predictions of mechanical effects including the crucial interaction of the cell membrane and the actin cortex. For this…

细胞行为 · 定量生物学 2021-07-15 Philipp Werner , Martin Burger , Florian Frank , Harald Garcke

The Langevin dynamics of a $d$-dimensional mean spherical model with competing interactions along $m\leq d$ directions of a hypercubic lattice is analysed. After a quench at high temperatures, the dynamical behaviour is characterized by two…

软凝聚态物质 · 物理学 2009-11-11 M. O. Hase , S. R. Salinas

This study investigates the dynamics of alternating minimization applied to a bilinear regression task with normally distributed covariates, under the asymptotic system size limit where the number of parameters and observations diverge at…

最优化与控制 · 数学 2025-02-03 Koki Okajima , Takashi Takahashi

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

概率论 · 数学 2026-05-20 Eliana Fausti , Andreas Sojmark

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

统计力学 · 物理学 2009-11-13 Florian Baumann , Michel Pleimling

We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e., random branching/killing rates). The main question is about the location where the main part of the population sits at a…

概率论 · 数学 2021-07-20 Wolfgang König

We study the nonequilibrium aging dynamics in a system of quasi-hard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation time initially increases exponentially with…

统计力学 · 物理学 2010-10-01 Djamel El Masri , Ludovic Berthier , Luca Cipelletti

We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Ac- tivity Driven (NoPAD) model [Moinet et al. Phys. Rev. Lett., 114 (2015)], a temporal network model incorporating the empirically observed bursty…

无序系统与神经网络 · 物理学 2016-09-21 Antoine Moinet , Michele Starnini , Romualdo Pastor-Satorras

The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display new regimes of ballistic or anisotropic ballistic scaling, at…

统计力学 · 物理学 2023-10-31 Malte Henkel , Stoimen Stoimenov

We study the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion. We use the phenomenological approach to the linear response adopted in earlier…

统计力学 · 物理学 2007-05-23 Paolo Allegrini , Gianluca Ascolani , Mauro Bologna , Paolo Grigolini

We numerically study aging for the Edwards-Anderson Model in 3 and 4 dimensions using different temperature-change protocols. In D=3, time scales a thousand times larger than in previous work are reached with the SUE machine. Deviations…

无序系统与神经网络 · 物理学 2009-11-10 S. Jimenez , V. Martin-Mayor , S. Perez-Gaviro

This paper is concerned with two frequency-dependent SIS epidemic reaction-diffusion models in heterogeneous environment, with a cross-diffusion term modeling the effect that susceptible individuals tend to move away from higher…

偏微分方程分析 · 数学 2018-07-20 Huicong Li , Rui Peng , Tian Xiang

We study the critical properties of a model of information spreading based on the SIS epidemic model. Spreading rates decay with time, as ruled by two parameters, $\epsilon$ and $l$, that can be either constant or randomly distributed in…

物理与社会 · 物理学 2012-12-12 Marlon Ramos , Nuno Crokidakis , Celia Anteneodo

Consider a chaotic dynamical system generating Brownian motion-like diffusion. Consider a second, non-chaotic system in which all particles localize. Let a particle experience a random combination of both systems by sampling between them in…

混沌动力学 · 物理学 2019-05-01 Y. Sato , R. Klages

We develop an age-structured hydrodynamic (HD) theory which describes the collective behavior of $N\gg 1$ anomalously diffusing particles under stochastic renewal resetting. The theory treats the age of a particle -- the time since its last…

统计力学 · 物理学 2026-05-01 Baruch Meerson , Ohad Vilk
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