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

Interacting Copies of Random Constraint Satisfaction Problems

This paper investigates how ferromagnetic coupling between two copies of a random hypergraph bicoloring problem lowers the clustering threshold and transforms the phase transition from discontinuous to continuous, thereby significantly impacting the convergence of Belief Propagation and highlighting the need for improved re-weighting strategies to enhance algorithmic performance.

Maria Chiara Angelini, Louise Budzynski, Federico Ricci-Tersenghi2026-02-24
⚛️ general relativity

The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance"

This paper demonstrates that a constrained Brownian bridge evolves along an m-geodesic on the statistical manifold of Gaussian distributions, thereby establishing a physical realization of information geometry where random processes follow informational straight trajectories and highlighting the fundamental physical role of asymmetric informational distance.

Tomoi Koide, Armin van de Venn2026-02-24
🧬 biology

Convex Analysis of Relaxation Dynamics in Chemical Reaction Networks and Generalized Gradient Flows

This paper establishes bounds on the Kullback–Leibler divergence to equilibrium for mass-action chemical reaction networks by linking decay rates to stoichiometric singular values and convexity parameters within a generalized gradient flow framework, offering a novel tool to quantify slow relaxation and plateau behaviors in biological systems.

Keisuke Sugie, Dimitri Loutchko, Tetsuya J. Kobayashi2026-02-24
🔬 condensed matter

Thermodynamic Geometry of Classical and Quantum Statistics in the Relativistic Regime

This paper investigates the thermodynamic geometry of relativistic ideal gases across classical and quantum statistics, demonstrating that while the characteristic signs of thermodynamic curvature persist, relativistic effects introduce mass-dependent shifts in curvature singularities and corrections to the Bose-Einstein condensation temperature.

Hosein Mohammadzadeh, Zahra Ebadi, Omid Yahyayi Monem, Mohammad Hossein Naghizadeh Ardabili2026-02-24
🔬 mesoscale physics

The interplay of cation/anion and monovalent/divalent selectivity in negatively charged nanopores: local charge inversion and anion leakage

This study demonstrates that the anomalous mole fraction effect and anion leakage in negatively charged wide nanopores are governed by a delicate interplay between charge inversion, anion leakage, and ionic mobility, which can be accurately reproduced by matching the distance of closest approach between ions and surface charges regardless of the specific microscopic model used for surface groups.

Eszter Lakics, Mónika Valiskó, Dirk Gillespie, Dezső Boda2026-02-24
🌀 nonlinear sciences

Defining classical and quantum chaos through adiabatic transformations

This paper proposes a unified formalism defining classical and quantum chaos through the complexity of adiabatic transformations, quantified by fidelity susceptibility, which successfully distinguishes between integrable, chaotic non-thermalizing, and ergodic regimes while predicting the universal onset of chaos in coupled spin models.

Hyeongjin Kim, Cedric Lim, Kirill Matirko, Anatoli Polkovnikov, Michael O. Flynn2026-02-23
🔬 condensed matter

A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function

This paper introduces a microcanonical inflection point analysis using parametric curves to characterize phase transitions across various models, while demonstrating a direct relationship between the linear arrangement of Fisher's zeros in the complex plane and the order of the transition, specifically linking latent heat to the distance between these zeros.

Julio Cesar Siqueira Rocha, Rodrigo Alves Dias, Bismarck Vaz da Costa2026-02-23