Condensation in continuous stochastic mass transport models

Christos Christou; Andreas Schadschneider

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arXiv · 1703.02966

Condensation in continuous stochastic mass transport models

Christos Christou·Andreas Schadschneider

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Abstract

We study the dynamics of condensation for a stochastic continuous mass transport process defined on a one-dimensional lattice. Specifically we introduce three different variations of the truncated random average process. We generalize hereby the regular truncated process by introducing a new parameter $γ$ and derive a rich phase diagram in the $ρ-γ$ plane where several new phases next to the condensate or fluid phase can be observed. Lastly we use an extreme value approach in order to describe the conditions of a condensation transition in the thermodynamic limit. This leads us to a possible explanation of the broken ergodicity property expected for truncation processes.

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Christos Christou, Andreas Schadschneider. 2017-07-26. Condensation in continuous stochastic mass transport models. https://arxiv.org/abs/1703.02966

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