Landim, C., Volchan, S. B.
Equilibrium Fluctuations for a Driven Tracer Particle Dynamics
(605K, Postcript)
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 $\sqrt{\epsilon}
X(\epsilon^{-2}t)$ of the tagged particle converges, as $\epsilon
\rightarrow 0$, to the finite dimensional distributions of a mean zero
Gaussian process whose covariance can be expressed in terms of a diffusion
process.