Eur. Phys. J. B (2014) 87: 205
https://doi.org/10.1140/epjb/e2014-50411-y

Regular Article

Ergodicity breaking induced by external coupled spatial-time noise processes

¹ Department of General Physics, Yuri Fedkovich Chernivtsi National University, 58012 Chernivtsi, Ukraine
² Department of Theoretical Physics, Taras Shevchenko Kyiv National University, 03127 Kyiv, Ukraine

^a e-mail: yugudyma@gmail.com

Received: 19 May 2014
Received in final form: 18 June 2014
Published online: 10 September 2014

Abstract

We investigate the evolution of a one-dimensional system in a lattice driven by noise colored in space and time. It is shown that crossover from individual to cooperative dynamics of the system constituents is due to noise. Attention is focused on the cooperative effects that lead to phase transition. Numerical simulation of the stationary probability distribution shows ergodicity breaking due to the spatial-time dependence of noise.