# Hydrodynamics for SSEP with Non-reversible Slow Boundary Dynamics: Part I, the Critical Regime and Beyond

@article{Erignoux2020HydrodynamicsFS, title={Hydrodynamics for SSEP with Non-reversible Slow Boundary Dynamics: Part I, the Critical Regime and Beyond}, author={Cl{\'e}ment Erignoux and P. Gonçalves and G. Nahum}, journal={Journal of Statistical Physics}, year={2020} }

The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic behavior of the SSEP in contact with slowed reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size K placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The hydrodynamic limit is given by the…

## 7 Citations

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We make progress on the weak-universality conjecture for the KPZ equation by proving the height functions associated to a class of non-integrable and non-stationary generalizations of ASEP converge…

of the Bernoulli Society for Mathematical Statistics and Probability Volume Twenty Eight Number Two May 2022

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A list of forthcoming papers can be found online at http://www.bernoullisociety.org/index. php/publications/bernoulli-journal/bernoulli-journal-papers CONTENTS 713 BELLEC, P.C. and ZHANG, C.-H.…

Hydrodynamics for SSEP with non-reversible
slow boundary dynamics: Part II, below the critical
regime

- Mathematics
- 2019

The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows…

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