Dynamics of interacting particle systems

O. Blondel, Aurelia Deshayes, Cyril Labbé, Laure Marêché, Marielle Simon
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Abstract

We collect here recent results covering various aspects of the dynamical properties of interacting particle systems. In Section 1 we study the hydrodynamic limit of a facilitated exclusion process. Section 2 evidences a cutoff phenomenon for the mixing time of the weakly asymmetric exclusion process. Section 3 presents a study of the infection time in the Duarte model. Finally, Section 4 presents the study of a front propagation in the FA-If model.
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相互作用粒子系统动力学
我们在这里收集了最近的结果,涵盖了相互作用粒子系统的动力学特性的各个方面。在第1节中,我们研究了一种易于排除过程的水动力极限。第2节证明了弱不对称排斥过程混合时间的截断现象。第3节介绍了Duarte模型中感染时间的研究。最后,第4节介绍了FA-If模型中锋面传播的研究。
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