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.

🔬 condensed matter

Spin-Charge Subordination in the Infinite-UU SU(N)SU(N) Hubbard Chain

This paper establishes that in the one-dimensional infinite-UU SU(N)SU(N) Hubbard model, the no-passing constraint causes flavor transport to be kinematically subordinated to charge transport, resulting in exact relations between their cumulants and a universal non-Gaussian M-Wright asymptotic distribution for flavor transfer.

Cătălin Paşcu Moca, Ovidiu I. Pâţu, Gergely Zaránd, Balázs Dóra2026-09-07
🤖 machine learning

Coarse-Graining Hidden Representations: Unsupervised Neuron Selection via Mapping Entropy

This paper proposes an unsupervised method for selecting essential neurons in overparameterized neural networks by minimizing mapping entropy, a metric based on hidden-activation statistics that effectively identifies informative subnetworks and enhances predictive performance under strong compression without relying on labels or gradients.

Margherita Mele, Andrea Castagna, Roberto Menichetti, Raffaello Potestio, Alessandro Ingrosso2026-09-07
🔬 condensed matter

Glassy dynamics, crossover temperature and density scaling in fragile glass-formers

This study combines theory and large-scale molecular dynamics simulations to demonstrate that the thermodynamics and glassy dynamics of inverse-power-law systems can be unified through a specific crossover temperature and density-temperature scaling, enabling the prediction of relaxation behavior across a wide range of densities from a single state point.

Ankit Singh, Vinay Vaibhav, Swarn Lata Singh, Yashwant Singh2026-09-07