 97181 Joel L. Lebowitz, Claudia Neuhauser and Krishnamurthi Ravishankar
 Dynamics of a SpinExchange Model
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Apr 8, 97

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Abstract. We study a model on the nonnegative half line ${\bf Z}_0^+$, $\lbrace
0,1,2,\dots\rbrace $ 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 $1/\sqrt{x}$ 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 spinexchange model.
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