Hydrodynamic limit of multi-chain driven diffusive models

TL;DR

This paper introduces a new class of multi-channel driven diffusive models, analyzes their boundary-driven phase transitions, and derives an accurate hydrodynamic limit supported by Monte Carlo simulations.

Contribution

It proposes a generalized multi-channel exclusion process, identifies limitations of traditional hydrodynamics, and derives a new hydrodynamic limit for these models.

Findings

Traditional hydrodynamics often fails for these models

A new hydrodynamic limit is derived successfully

Monte Carlo simulations confirm theoretical results

Abstract

A new class of models, generalizing Asymmetric Exclusion Process for many parallel interacting channels, is proposed. We couple the models with boundary reservoirs, study boundary-driven phase transitions and show that usually taken hydrodynamic description fails. The adequate hydrodynamic limit is then derived. We support our findings with Monte-Carlo simulations of the original stochastic system.