MACROSCOPIC DIFFUSIVE FLUCTUATIONS FOR GENERALIZED HARD RODS DYNAMICS

• 成果类型: Article
• 署名作者: Ferrari, Pablo A.; Olla, Stefano
• 署名单位: University of Buenos Aires; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET); University of Buenos Aires; Universite PSL; Universite Paris-Dauphine; Institut Universitaire de France; Gran Sasso Science Institute (GSSI)
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/24-AAP2137
• 发表日期: 2025
• 页码: 1125-1142
• 关键词: caricature

摘要

We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity v, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance D(v).