Stationary fluctuations of run-and-tumble particles

Autor:	Redig, Frank, van Wiechen, Hidde
Rok vydání:	2023
Předmět:	Mathematics - Probability Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We study the stationary fluctuations of independent run-and-tumble particles. We prove that the joint densities of particles with given internal state converges to an infinite dimensional Ornstein-Uhlenbeck process. We also consider an interacting case, where the particles are subjected to exclusion. We then study the fluctuations of the total density, which is a non-Markovian Gaussian process, and obtain its covariance in closed form. By considering small noise limits of this non-Markovian Gaussian process, we obtain in a concrete example a large deviation rate function containing memory terms. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.02967 Zobrazit plný text záznamu View this record from Arxiv