FLUCTUATIONS OF THE FRONT IN A ONE DIMENSIONAL MODEL OF X plus Y -> 2X
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
AMER MATHEMATICAL SOC
Abstract
We consider a model of the reaction X + Y -> 2X on the integer lattice in which Y particles do not move while X particles move its independent continuous time, simple symmetric random walks. Y particles are transformed instantaneously to X particles upon contact We start with a fixed number a >= 1 of Y particles at each site to the right of the origin We prove a central limit theorem for the rightmost visited site of the X particles lip to time t and show that the of the environment as seen from the front converges to a unique invariant measure
Description
Keywords
Regeneration times, interacting particle systems, front propagation