A stochastic microscopic model describing the continuous Generalized Voter Model

ORAL

Abstract

We present a stochastic microscopic model that exhibits the same properties as the Generalized Voter Model in its Langevin description. Building on a model introduced in 2011 by Blythe et al. for the investigation of ordering dynamics in the presence of symmetric absorbing states, we show that our model exhibits phase transitions belonging to three different universality classes: Voter, Ising, and Directed Percolation. These different universality classes are identified through a systematic investigation of various static and dynamic quantities. We also present some data on the aging processes taking place at Voter critical points and show that, depending on the values of some system parameters, properties of linear or non-linear voter models are recovered.

Presenters

  • Ahmadreza Azizi

    Department of Physics and Center for Soft Matter and Biological Physics, Virginia Tech

Authors

  • Ahmadreza Azizi

    Department of Physics and Center for Soft Matter and Biological Physics, Virginia Tech

  • Michel Pleimling

    Virginia Tech, Department of Physics and Center for Soft Matter and Biological Physics, Virginia Tech