🔬 Category

cond-mat.stat-mech

2392 papers

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.

🔢 mathematics

Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion

This paper derives stochastic differential equations for the coupled system of eigenvalues and eigenvector-overlaps in non-Hermitian matrix-valued Brownian motion, establishes their scale-transformation invariance, and utilizes a regularized Fuglede-Kadison determinant to formulate stochastic partial differential equations linking the time-dependent eigenvalue point process to the logarithmic variations of the determinant.

Syota Esaki, Makoto Katori, Satoshi Yabuoku2026-04-07
🔬 condensed matter

Liquid-Gas Criticality of Hyperuniform Fluids

This paper theoretically demonstrates that non-equilibrium hyperuniform fluids with center-of-mass conservation exhibit a distinct liquid-gas criticality class characterized by finite density fluctuations, a reduced upper critical dimension of 2, and a scale-dependent effective temperature, thereby fundamentally violating the conventional Ising universality class and fluctuation-dissipation relations.

Shang Gao, Hao Shang, Hao Hu, Yu-Qiang Ma, Qun-Li Lei2026-04-07
⚛️ quantum physics

Fragmented eigenstate thermalization versus robust integrability in long-range models

This paper demonstrates that in fully connected long-range quantum systems, integrability exhibits a dichotomy of robustness or extreme fragility depending on perturbation type, where only extensive two-body perturbations trigger chaos at infinitesimal strength, leading to a fragmented realization of the eigenstate thermalization hypothesis within symmetry-defined energy bands.

Soumya Kanti Pal, Lea F Santos2026-04-07
🔬 condensed matter

Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature

This paper investigates how slow, time-dependent perturbations in nonequilibrium Markov jump processes generate geometric Berry phases and curvatures that quantify excess observables, revealing a breakdown of classical thermodynamic relations like Maxwell's equations and the Clausius theorem, while also demonstrating a variant of the Aharonov-Bohm effect and establishing conditions under which these geometric effects vanish at absolute zero.

Aaron Beyen, Faezeh Khodabandehlou, Christian Maes2026-04-07
🔢 mathematics

A first passage problem for a Poisson counting process with a linear moving boundary

This paper provides a unified pedagogical treatment of the first-passage problem for a Poisson counting process with a linear moving boundary by reconciling time-domain and Laplace-domain approaches to derive new exact analytical results, including an explicit large deviation function and closed-form expressions for the conditional mean first-passage time.

Ivan N. Burenev, Michael J. Kearney, Satya N. Majumdar2026-04-07
⚛️ high-energy theory

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond

This paper establishes a rigorous resource-theoretic framework for strong symmetry breaking that corrects the limitations of existing quantifiers like second-Rényi entanglement asymmetry, identifies the variance of conserved quantities as the key metric for U(1) symmetry, and provides a quantitative tool to track the irreversible conversion of weak to strong symmetry breaking in open quantum systems.

Yuya Kusuki, Sridip Pal, Hiroyasu Tajima2026-04-07
🔬 condensed matter

Non-reciprocal Ising gauge theory

This paper demonstrates that non-reciprocally coupling two copies of Ising gauge theory while preserving local Z2\mathbb{Z}_2 symmetry induces a rich interplay with geometric frustration, resulting in unique phenomena such as tunable quasiparticle confinement, self-avoiding trail dynamics on critical percolation clusters, and long-lived metastable states that significantly alter the magnetic noise spectrum.

Nilotpal Chakraborty, Anton Souslov, Claudio Castelnovo2026-04-07