Broken Ergodicity in a Stochastic Model with Condensation

Details Broken Ergodicity in a Stochastic Model with Condensation Broken Ergodicity in a Stochastic Model with Condensation

2001-12-05

arxiv.org/abs/cond-mat/0112066v3

Phys. Rev. Lett. 89, 090601 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.89.090601

We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditions, we show the existence of a phase transition between a pure high flow phase and a mixed phase, whereby the latter consists of a homogeneous high flow and a condensed low flow substate without translation invariance. The finite system alternates between these substates which both have diverging lifetimes in the thermodynamic limit, so ergodicity is broken in the infinite system. However, the scaling behaviour of the lifetimes in dependence of the system size is different due to different underlying flipping mechanisms.

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