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.

⚛️ high-energy theory

Symmetry Resolved Entanglement Entropy: Equipartition under Driven and Non-unitary Evolution in a Compact Boson CFT

This paper investigates how symmetry-resolved entanglement entropy in a driven compact boson CFT deviates from equipartition due to an sl(k)(2,R)\mathfrak{sl}^{(k)}(2,\mathbb{R}) subalgebra-induced coupling between frequency modes, while also exploring the impact of non-unitary evolution on these entropies.

Filiberto Ares, Jayashish Das, Arnab Kundu2026-03-31
🔬 condensed matter

SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions (version 2.0 release)

This paper introduces version 2.0 of SmoQyDQMC.jl, a flexible Julia package that implements the determinant quantum Monte Carlo algorithm to simulate Hubbard and generalized electron-phonon interactions using an optimized hybrid Monte Carlo method with exact forces for efficient phonon sampling.

Benjamin Cohen-Stead, Shruti Agarwal, Sohan Malkaruge Costa, James Neuhaus, Andy Tanjaroon Ly, Yutan Zhang, Richard Scal (…)2026-03-30
🌀 nonlinear sciences

Integrability and Chaos via fractal analysis of Spectral Form Factors: Gaussian approximations and exact results

This paper proposes using the Hausdorff dimension of the spectral form factor's associated random walk as a fractal diagnostic to distinguish chaotic Hamiltonians (dimension 4/34/3) from integrable ones (dimension $1$), while providing exact moment calculations and proving Gaussian or log-Normal distributions under specific degeneracy conditions.

Lorenzo Campos Venuti, Jovan Odavić, Alioscia Hamma2026-03-30
🌀 nonlinear sciences

Synchronization of nonlinearly coupled Stuart-Landau oscillators on networks

This paper extends the classical theory of coupled oscillators by developing a complete analytical and semi-analytical framework, utilizing Jacobi-Anger expansion and Floquet theory, to derive precise synchronization conditions for Stuart-Landau oscillators interacting through nonlinear functions on both undirected and directed networks.

Wilfried Segnou, Riccardo Muolo, Marie Dorchain, Hiroya Nakao, Timoteo Carletti2026-03-30
⚛️ high-energy theory

Real critical exponents from the ε\varepsilon-expansion in an interacting U(1)U(1) model with non-Hermitian Z4Z_4 anisotropy

This paper demonstrates that a U(1)U(1)-invariant Lagrangian perturbed by a complex, PT\mathcal{PT}-symmetric Z4Z_4 anisotropy yields real critical exponents in both broken and unbroken PT\mathcal{PT} phases, with the most stable fixed point flowing to an effectively Hermitian U(1)U(1) symmetric system, thereby showing that Hermiticity and U(1)U(1) symmetry can emerge as intrinsic features of inherently non-Hermitian theories.

Eduard Naichuk, Jeroen van den Brink, Flavio S. Nogueira2026-03-30