Coronavirus (Covid-19): Latest updates and information
Skip to main content Skip to navigation

Federico Vazquez (Palma de Mallorca)

From microscopic dynamics to macroscopic behaviour in systems with two symmetric absorbing states



In this talk, I will present a general approach to study spin systems with two symmetric absorbing states. Starting from the microscopic dynamics on a square lattice, it is possible to derive a Langevin equation for the time evolution of the magnetization field, that explains coarsening properties of a wide range of nonlinear voter models. It turns out that the macroscopic behaviour only depends on the first derivatives of the spin-flip probabilities. To illustrate these results, I apply this approach to study models with intermediate states. Finally, I show how a mean-field approximation reveals the three types of transitions commonly observed in these systems -generalized voter, Ising and directed percolation.