Hydrodynamic behavior of the 2-TASEP

TL;DR

This paper investigates the large-scale hydrodynamic behavior of a two-species TASEP model, deriving solutions for shock and rarefaction waves, and validating predictions with simulations.

Contribution

It provides a complete solution to the hydrodynamic equations of the 2-TASEP, including shock and rarefaction analysis, and demonstrates the system's Temple class structure.

Findings

Hydrodynamic equations form a Temple class system

Complete solution to the Riemann problem for 2-TASEP

Monte Carlo simulations confirm theoretical predictions

Abstract

We address the question of the large scale or hydrodynamic behavior of a 2-species generalization of TASEP (2-TASEP), consisting of two kinds of particles, moving in opposite directions and swapping their positions. We compute the rarefaction and shock solutions of the hydrodynamic equations of the model, showing that these equations form a Temple class system. We solve completely the Riemann problem and compare the theoretical prediction to Monte Carlo simulations.