Understanding entropy production via a thermal zero-player game
Abstract
Understanding the natural bounds of entropy production for driven nonequilibrium dynamics in many-body systems reveals how the fundamentals of thermodynamics manifest in these regimes across a wide variety of systems. In this direction, we propose and study the dynamics of a thermal zero-player entropy game, the Ising-Conway Entropy Game (ICEg), a self-driven system exhibiting characteristics of lattice gases, Ising models, and discrete games. We show that there is a universal bound on the entropy production rate, independent of temperature and lattice size. The thermalized game is shown to be physically interesting and a plausible testbed for studying the fundamentals of stochastic thermodynamics.
Cite
@article{arxiv.2503.03769,
title = {Understanding entropy production via a thermal zero-player game},
author = {M. Süzen},
journal= {arXiv preprint arXiv:2503.03769},
year = {2026}
}
Comments
Article with 15 pages, 5 Figures and 1 Table. This version, energy function minor update and text enrichments.. Repository for codes and data, at Github https://github.com/msuzen/research/blob/main/ising_conway_thermal/README.md and Zenodo https://zenodo.org/records/18699287