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arXiv · 2604.08154

Hydrodynamic limit of the directed exclusion process

Ellen Saada·Federico Sau·Assaf Shapira
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Abstract

We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hole symmetry while breaking left-right symmetry. The proof relies on an explicit multi-process coupling, which guarantees a strong form of attractiveness and macroscopic stability for the particle system. Further open questions about DEP are briefly discussed.

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Ellen Saada, Federico Sau, Assaf Shapira. 2026-04-09. Hydrodynamic limit of the directed exclusion process. https://arxiv.org/abs/2604.08154

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