Pseudo-Pinning in a Growth Model

A. Toom

1998, v.4, Issue 4, 663-668


A one-dimensional model of surface growth with random local interaction (between nearest neighbors), with discrete time and space, but continuous set of values of every component, is presented, in which the velocity of growth is positive whenever the two parameters of the model are positive, but tends to zero unusually fast (exponentially) when these parameters tend to zero.

Keywords: random process,local interaction,pinning,surface,growth,velocity,percolation


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