Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
classification
🧮 math.PR
math-phmath.MP
keywords
particletaggedequationmean-zeroone-dimensionalzero-rangeasymptoticbehavior
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We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.
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