New formulation of restricted growth processes |
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| Authors: | Sergei E Esipov T J Newman |
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| Institution: | (1) Department of Physics, University of Illinois at Urbana-Champaign, 61801 Urbana, Illinois;(2) Institute of Solid State Physics, 142432 Chernogolovka, Moscow Province, Russia |
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| Abstract: | We present a new formulation of a class of growth models-those which evolve according to an exclusion process. This formulation is based upon a transformation of the probability distribution function which involves Grassmann variables. This method is very general and enables one to derive an exact stochastic differential equation for the model of interest. We describe this method using the  traffic model as an example. |
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| Keywords: | Exclusion process interface growth |
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