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.

Higher-form entanglement asymmetry. Part I. The limits of symmetry breaking

This paper extends the framework of entanglement asymmetry to higher-form symmetries, deriving an entropic Coleman-Mermin-Wagner theorem that forbids spontaneous breaking of continuous pp-form symmetries in spacetime dimensions dp+2d \leq p+2 while quantifying symmetry breaking through the growth of entanglement asymmetry and the counting of Goldstone fields.

Francesco Benini, Eduardo García-Valdecasas, Stathis Vitouladitis2026-06-16⚛️ hep-th

Decoupling of single-particle and collective dynamics in arrested phase-separating glassy mixtures

Using coarse-grained molecular dynamics simulations, this study reveals that the interplay between arrested phase separation and vitrification in hard colloid-star polymer mixtures induces a complex decoupling of single-particle and collective dynamics, characterized by population splitting and multiscale non-Gaussian behavior of the hard tracers within the soft glassy matrix.

Konstantin N. Moser, Christos N. Likos, Vittoria Sposini2026-06-16🔬 cond-mat

Construction of a Neural Network with Temperature-Dependent Recall Patterns

This paper presents a neural network model that achieves temperature-dependent pattern recall by embedding distinct patterns into fully connected and sparse graphs, demonstrating through Monte-Carlo simulations that tuning relative weights induces a first-order phase transition where the system preferentially recalls the more thermally robust pattern while potentially failing to access the sparse pattern at low temperatures due to high free-energy barriers.

Munetaka Sasaki2026-06-16🔬 cond-mat

Cluster-based Message-Passing (CluMP) Optimization for Complex QUBO Problems

The paper introduces CluMP, a scalable optimization algorithm that leverages Belief Propagation to perform collective, frustration-tolerant cluster updates, enabling efficient navigation of complex energy landscapes in QUBO problems by bypassing local trapping more effectively than traditional single-spin heuristics.

Paolo Rissone, Stefan Boetcher, Alfonso Amendola, Simone Sala, Federico Ricci-Tersenghi2026-06-16🔬 cond-mat

Super-Arrhenius relaxation of the triangular plaquette model in any dimension

This paper establishes that the triangular plaquette model exhibits super-Arrhenius relaxation with an infinite volume relaxation time scaling between eβ2e^{\beta^2} and eeβe^{e^{\beta}} in any dimension, thereby recovering fragile glass phenomenology without kinetic constraints and revealing a surprising dependence of finite-size relaxation on domain geometry through novel combinatorial and renormalization techniques.

Laurent Bartholdi, Ivailo Hartarsky, Ivan Mitrofanov2026-06-16🔬 cond-mat