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.

Collective spatial reorganization from arrest to peeling and migration through density-dependent mobility in internal-state coordinates

This paper introduces a minimal model of interacting populations with coupled spatial and internal-state coordinates, demonstrating that density-dependent mobility in internal-state coordinates alone can drive a transition from arrested aggregates to boundary-led peeling and migration, thereby offering a unified framework for understanding collective spatial reorganization in biological systems.

Yagyik Goswami2026-04-08🔬 cond-mat

Exploring bosonic bound states with parallel reaction coordinates

This paper analyzes bosonic bound states in systems strongly coupled to gapped reservoirs by demonstrating that an exactly solvable model's results can be reproduced via a weak-coupling treatment of a supersystem with parallel reaction coordinates, revealing that while weak interactions induce finite lifetimes, increasing the system-reservoir coupling can enhance stability.

Guan-Yu Lai, Friedemann Queißer, Gernot Schaller2026-04-08⚛️ quant-ph

REM universality for linear random energy

This paper establishes the Random Energy Model (REM) universality for a sequence of linear random Hamiltonians by demonstrating that, as the system size grows, the energy levels of an exponentially large number of randomly sampled configurations converge to a Poisson point process with exponential intensity, thereby characterizing O(1)O(1) fluctuations and improving upon previous results on REM universality by dilution.

Francesco Concetti, Simone Franchini2026-04-08🔬 cond-mat

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🔢 math-ph

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🔬 cond-mat

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⚛️ quant-ph