Dynamics of Phase Boundary with Particle Annihilation

V.A. Malyshev, A.D. Manita

2009, v.15, №4, 575-584

ABSTRACT

On the real axis there are point particles of two kinds: plus particles on the positive part moving to the left, and minus particles on the negative part moving to the right. When plus particle and minus particle collide both disappear. It is clear that two phases are always separated. For one particular model of such kind we study the movement of the boundary between phases in the large density limit.

Keywords: stochastic particle systems with annihilation,scaling limits,microscopic models of price formation

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