Dynamics of a spin-exchange model

Joel L. Lebowitz, Claudia Neuhauser and Krishnamurthi Ravishankar

Stochastic Processes and their Applications, 1996, vol. 64, issue 2, 187-208

Abstract: We study a model on the non-negative half line +0, {0, 1, 2, ...} in which particles created at the origin at rate 1 jump to the right at rate 1. If a particle jumps onto an already occupied site the two particles annihilate each other. In addition, whenever a particle jumps its closest neighbor to the right jumps along with it. We find that the spatial decay rate of the particle density in the stationary state is of order 1/[radical sign]x at distance x from the origin. This model provides an approximation to the dynamics of an anchored Toom interface which can be represented as a spin-exchange model.

Keywords: Interacting; particle; systems; Coalescing; random; walk; Annihilating; random; walk; Voter; model; Toom; model; Interface; problems (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (1)

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