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arXiv · 1412.4241

Separation versus diffusion in a two species system

Anna de Masi·Pablo A. Ferrari
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Abstract

We consider a finite number of particles that move in $\mathbb Z$ as independent random walks. The particles are of two species that we call $a$ and $b$. The rightmost $a$ particle becomes a $b$ particle at constant rate, while the leftmost $b$ particle becomes $a$ particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a non linear system of two PDE's with free boundaries.

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Anna de Masi, Pablo A. Ferrari. 2014-12-13. Separation versus diffusion in a two species system. https://arxiv.org/abs/1412.4241

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