New formulation of restricted growth processes

Sergei E. Esipov; T. J. Newman

doi:10.1007/BF01053590

New formulation of restricted growth processes

Sergei E. Esipov, T. J. Newman

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	691-702
Number of pages	12
Journal	Journal of Statistical Physics
Volume	70
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01053590
Publication status	Published - Feb 1993

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title = "New formulation of restricted growth processes",

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.",

author = "Esipov, {Sergei E.} and Newman, {T. J.}",

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AB - 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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DO - 10.1007/BF01053590

M3 - Article

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SN - 0022-4715

VL - 70

SP - 691

EP - 702

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

New formulation of restricted growth processes

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