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

A Generalized Model for Disordered Random Sequential Adsorption with Charge-Dependent Deposition

This paper presents a generalized one-dimensional random sequential adsorption model with charge-dependent deposition that interpolates between uniform and localized regimes, deriving exact statistical recursions to prove the self-averaging nature of jammed density and demonstrating that charge selectivity significantly enhances coverage while reducing fluctuations.

G. Palacios, A. M. S. Macêdo2026-08-31
🔬 condensed matter

Critical Properties and Glass Transitions in Randomly Coupled Fields

This paper investigates an assembly of NN scalar fields with quenched random couplings, revealing that for large NN, the system exhibits Gaussian universality classes with critical exponents determined by the spectral edge of the coupling matrix, where a Wigner matrix leads to a divergent correlation length with finite susceptibility and an upper critical dimension of unity, while a spherical variant displays a heat capacity jump and generic scale invariance in the glass phase.

Amer Al-Hiyasat2026-08-28
⚛️ nuclear theory

Fluctuation--response relations from an emergent Z2\mathbb{Z}_2 symmetry in the rotating stochastic Landau model

This paper demonstrates that fluctuation-response relations in a rotating stochastic Landau model emerge from an inherent Z2\mathbb{Z}_2 symmetry of the coarse-grained Martin-Siggia-Rose path integral, which links entropy production to time-reversed dynamics and yields Ward identities that align with high-temperature fluctuation-dissipation relations only upon imposing the Einstein relation.

Dhruv Kush, Nicki Mullins, Mauricio Hippert, Jorge Noronha2026-08-28
🔢 mathematics

Emptiness formation in the Lieb-Liniger gas: hydrodynamic instantons and a conjectured rate function

This paper proposes a parameter-free integral equation for the rate function governing the emptiness formation probability in the ground state of the repulsive Lieb-Liniger Bose gas, deriving it from a dual-field Fredholm-determinant representation and validating it against known limits and extensive numerical hydrodynamic simulations.

Boris A. Khanikati, Alexander G. Abanov2026-08-28