Generic principles of active transport

TL;DR

This paper explores the fundamental principles governing active transport in nonequilibrium systems, analyzing lattice-gas models like TASEP and their variants to understand phenomena such as shocks, phase transitions, and disorder effects.

Contribution

It provides a comprehensive analysis of nonequilibrium properties of lattice-gas models, including extensions like dimeric gases and disordered systems, advancing understanding of active transport mechanisms.

Findings

Characterization of shock formation and phase transitions in lattice-gas models.

Insights into transport behavior with pointwise disorder and coupled tracks.

Quantitative analysis of nonequilibrium steady states in generalized TASEP models.

Abstract

Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intringuing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase transitions. These stochastic many-body features characterize transport processes in biology, soft condensed matter and, possibly, also in nanoscience. Inspired by these applications, a wide class of lattice-gas models has recently been considered. Building on the celebrated {\it totally asymmetric simple exclusion process} (TASEP) and a generalization accounting for the exchanges with a reservoir, we discuss the qualitative and quantitative nonequilibrium properties of these model systems. We specifically analyze the case of a dimeric lattice gas, the transport in the presence of pointwise disorder and along coupled tracks.