Equilibrium fluctuations for a driven tracer particle dynamics

Cláudio Landim and Sérgio B. Volchan

Stochastic Processes and their Applications, 2000, vol. 85, issue 1, 139-158

Abstract: We study the equilibrium fluctuations of a tagged particle driven by an external constant force in an infinite system of particles evolving in a one-dimensional lattice according to symmetric random walks with exclusion. We prove that when the system is initially in the equilibrium state, the finite-dimensional distributions of the diffusively rescaled position of the tagged particle converges, as [var epsilon]-->0, to the finite-dimensional distributions of a mean zero Gaussian process whose covariance can be expressed in terms of a diffusion process.

Keywords: Tagged; particle; Equilibrium; fluctuations; Exclusion; processes; Hydrodynamic; limit (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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