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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Esipov, S.E., Newman, T.J. New formulation of restricted growth processes. J Stat Phys 70, 691–702 (1993). https://doi.org/10.1007/BF01053590
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DOI: https://doi.org/10.1007/BF01053590