English

Comment on ``Solution of Classical Stochastic One-Dimensional Many-Body Systems''

Statistical Mechanics 2009-10-31 v1

Abstract

In a recent Letter, Bares and Mobilia proposed the method to find solutions of the stochastic evolution operator H=H0+γLH1H=H_0 + {\gamma\over L} H_1 with a non-trivial quartic term H1H_1. They claim, ``Because of the conservation of probability, an analog of the Wick theorem applies and all multipoint correlation functions can be computed.'' Using the Wick theorem, they expressed the density correlation functions as solutions of a closed set of integro-differential equations. In this Comment, however, we show that applicability of Wick theorem is restricted to the case γ=0\gamma = 0 only.

Cite

@article{arxiv.cond-mat/0008209,
  title  = {Comment on ``Solution of Classical Stochastic One-Dimensional Many-Body Systems''},
  author = {Su-Chan Park and Jeong-Man Park and Doochul Kim},
  journal= {arXiv preprint arXiv:cond-mat/0008209},
  year   = {2009}
}

Comments

1 page, revtex style, comment on paper Phys. Rev. Lett. {\bf 83}, 5214 (1999)

R2 v1 2026-07-22T10:05:43.720Z