Statistical mechanics explores how the chaotic motion of countless tiny particles gives rise to the predictable laws governing heat, pressure, and phase transitions. This field bridges the gap between the microscopic world of atoms and the macroscopic reality we experience daily, offering deep insights into why materials behave the way they do.

On Gist.Science, we process every new preprint in this category as it appears on arXiv to make these complex findings accessible to everyone. For each paper, we provide both a plain-language explanation for the curious reader and a detailed technical summary for specialists, ensuring that groundbreaking research is never lost behind a wall of jargon.

Below are the latest papers in statistical mechanics, freshly curated and summarized to help you understand the cutting edge of this fascinating discipline.

Microcanonical ensemble out of equilibrium

This paper extends Boltzmann's microcanonical ensemble to nonequilibrium systems by counting equally probable trajectories to derive a "microcanonical caliber" principle, which provides a microscopic foundation for maximum caliber, clarifies the statistical origins of transport phenomena, and offers an independent derivation of stochastic thermodynamics equations for nonequilibrium steady states.

Roman Belousov, Jenna Elliott, Florian Berger, Lamberto Rondoni, Anna Erzberger2026-01-27🔬 cond-mat

Sokoban Random Walk: From Environment Reshaping to Trapping Crossover

This paper demonstrates that a Sokoban random walker's ability to push obstacles eliminates the classic percolation transition by inducing a dynamical crossover at a critical density, shifting the system from self-trapping to pre-existing trapping mechanisms and placing it within the Balagurov-Vaks-Donsker-Varadhan universality class characterized by stretched-exponential relaxation.

Prashant Singh, David A. Kessler, Eli Barkai2026-01-27🔬 cond-mat

Largest connected component in duplication-divergence growing graphs with symmetric coupled divergence

This paper investigates the phase transition of the largest connected component in duplication-divergence growing graphs with symmetric coupled divergence, identifying a critical divergence rate and demonstrating how the inclusion or exclusion of non-interacting vertices in duplication events influences the transition's characteristics and its relationship to bond percolation.

Dario Borrelli2026-01-27🧬 q-bio

A Local Structural Basis to Resolve Amorphous Ices

By applying a new probabilistic data-driven framework to molecular simulations of water, this study reveals that the distinction between low-density and high-density amorphous ices is encoded within the first coordination shell and that their pressure-induced transition occurs via a first-order-like redistribution of local environments without intermediate structures.

Quinn M. Gallagher, Ryan J. Szukalo, Nicolas Giovambattista, Pablo G. Debenedetti, Michael A. Webb2026-01-27🔬 cond-mat.mtrl-sci