English

Revisiting the one-dimensional diffusive contact process

Statistical Mechanics 2009-11-13 v1

Abstract

In this work we study the one-dimensional contact process with diffusion using two different approaches to research the critical properties of this model: the supercritical series expansions and finite-size exact solutions. With special emphasis we look to the multicritical point and its crossover exponent that characterizes the passage between DP and mean-field critical properties. This crossover occurs in the limit of infinite diffusion rate and our results pointed ϕ=4\phi=4 as the better estimate for the crossover exponent in agreement with computational simulations.

Keywords

Cite

@article{arxiv.0705.0317,
  title  = {Revisiting the one-dimensional diffusive contact process},
  author = {W. G. Dantas and M. J. de Oliveira and J. F. Stilck},
  journal= {arXiv preprint arXiv:0705.0317},
  year   = {2009}
}
R2 v1 2026-06-21T08:24:18.997Z