Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics

TL;DR

This paper reviews 25 years of developments in non-equilibrium statistical mechanics inspired by the Katz-Lebowitz-Spohn model, highlighting new insights, unresolved puzzles, and future directions in the field.

Contribution

It provides a comprehensive overview of the advances and open questions in non-equilibrium statistical mechanics since the introduction of the KLS model.

Findings

Emergence of unexpected behaviors in non-equilibrium systems

Identification of outstanding puzzles in the field

Speculation on future research directions

Abstract

When Lenz proposed a simple model for phase transitions in magnetism, he couldn't have imagined that the "Ising model" was to become a jewel in field of equilibrium statistical mechanics. Its role spans the spectrum, from a good pedagogical example to a universality class in critical phenomena. A quarter century ago, Katz, Lebowitz and Spohn found a similar treasure. By introducing a seemingly trivial modification to the Ising lattice gas, they took it into the vast realms of non-equilibrium statistical mechanics. An abundant variety of unexpected behavior emerged and caught many of us by surprise. We present a brief review of some of the new insights garnered and some of the outstanding puzzles, as well as speculate on the model's role in the future of non-equilibrium statistical physics.