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.

🤖 machine learning

Discrete distributions are learnable from metastable samples

This paper demonstrates that true multivariable discrete distributions, including Ising models, can be rigorously learned from metastable samples by leveraging the observation that their single-variable conditional probabilities remain close to the stationary distribution despite global divergence, thereby enabling effective parameter and structure recovery via conditional-likelihood estimation.

Abhijith Jayakumar, Andrey Y. Lokhov, Sidhant Misra, Marc Vuffray2026-08-11
🔬 condensed matter

Superfluid dome in the spatially modulated two-dimensional XY model

By combining tensor network methods and Monte Carlo simulations on a spatially modulated two-dimensional XY model, this study reveals a non-monotonic "superfluid dome" in the critical temperature caused by the effective pinning of vortices in modulation valleys, offering new insights into the interplay between superconductivity and charge density waves.

Feng-Feng Song, Aditya Chugh, Hanggai Nuomin, Naoki Kawashima, Alexander Wietek2026-08-11
🔬 condensed matter

Ergodicity Breaking in Active Run-and-Tumble Particles in a Double-Well Potential

This paper demonstrates that active run-and-tumble particles in a double-well potential exhibit strong ergodicity breaking above a critical barrier height due to initial-condition-dependent trapping, while below this threshold they restore ergodicity with a unique stationary distribution and a barrier crossing time that diverges according to a Vogel-Fulcher-Tammann-like law with an anomalous exponent of 1/21/2, violating the standard Kramers-Arrhenius behavior.

Urna Basu, Satya N. Majumdar, Alberto Rosso2026-08-11