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.

📊 statistics

Inference in Spreading Processes with Neural-Network Priors

This paper proposes a Bayesian framework that integrates neural-network priors based on node covariates into the inference of spreading processes on graphs, deriving a hybrid BP-AMP algorithm to demonstrate how combining structural dynamics with covariate information can enhance state recovery while revealing regimes of first-order phase transitions that create statistical-to-computational gaps.

Davide Ghio, Fabrizio Boncoraglio, Lenka Zdeborová2026-02-23
⚛️ high-energy theory

Quantum Brownian motion with non-Gaussian noises: Fluctuation-Dissipation Relation and nonlinear Langevin equation

This paper employs the closed-time-path formalism to derive a modified fluctuation-dissipation relation and a nonlinear Langevin equation for quantum Brownian motion with non-Gaussian noises arising from a system nonlinearly coupled to a harmonic oscillator environment, thereby providing a framework for analyzing non-Gaussian properties in fields like early universe cosmology and quantum optomechanics.

Hing-Tong Cho, Bei-Lok Hu2026-02-23
⚛️ quantum physics

Higher-order spatial photon interference versus dipole blockade effect

This paper demonstrates that an incoherently excited system of three dipole-coupled emitters arranged in an equilateral triangle spontaneously generates sub-Poissonian single-photon streams, a phenomenon driven not by dipole blockade but by the specific nature of the emitters' interaction with a thermal reservoir and high-order spatial interference effects at larger atomic intervals.

Arthur Rotari, Mihai A. Macovei2026-02-23
⚛️ lattice

Pseudocriticality in antiferromagnetic spin chains

By combining advanced quantum Monte Carlo simulations with a novel loop estimator for Rényi entanglement entropy, this study demonstrates that an SU(NN) generalization of the Heisenberg antiferromagnet in 1+1 dimensions exhibits weak first-order pseudocriticality driven by proximity to a complex conformal field theory, a finding that accurately recovers the real part of the complex central charge for N>2N>2 and reinterprets the dimerized phase of the spin-1 chain as pseudocritical.

Sankalp Kumar, Sumiran Pujari, Jonathan D'Emidio2026-02-20