🔬 Category

cond-mat.stat-mech

2407 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.

⚛️ high-energy theory

Symmetric Mass Generation Transition and its Nonequilibrium Critical Dynamics in a Bilayer Honeycomb Lattice Model

Using unbiased quantum Monte Carlo simulations, this study confirms the existence of a symmetric mass generation transition in a bilayer honeycomb lattice model at a critical coupling of Jc=2.584(8)J_{\text{c}}=2.584(8), identifies its novel universality class distinct from mean-field theory, and demonstrates that its nonequilibrium dynamics obey generalized finite-time scaling despite the breakdown of standard Kibble-Zurek prerequisites.

Zhi-Xuan Li, Yin-Kai Yu, Zi-Xiang Li, Shuai Yin2026-03-25
🔬 condensed matter

Genuine and spurious (non-)ergodicity in single particle tracking

This paper critiques the limitations of the standard mean-squared displacement (MSD) criterion for assessing ergodicity in single-particle tracking, demonstrating that it can yield spurious results, and proposes a more robust alternative based on the mean-squared increment (MSI) that accurately characterizes genuine (non-)ergodicity and stationarity in anomalous diffusion systems.

Wei Wang, Qing Wei, Igor M. Sokolov, Ralf Metzler, Aleksei Chechkin2026-03-25
⚛️ high-energy theory

From Quantum Dimers to the π\pi-flux Toric Code via Deconfined Multicriticality

This paper introduces a tensor-product regularized qubit Hamiltonian that interpolates between Rokhsar-Kivelson dimer models and the π\pi-flux toric code, revealing a phase diagram with deconfined Z2\mathbb{Z}_2 topological liquids and identifying a deconfined multicritical point where three distinct quantum phase transitions meet.

Ankush Chaubey, Sergej Moroz, Subhro Bhattacharjee2026-03-25
📊 statistics

On the Golomb-Dickman constant under Ewens sampling

This paper defines a generalized Golomb-Dickman constant λθ\lambda_{\theta} representing the limiting expected proportion of the longest cycle in random permutations under the Ewens measure and derives an explicit integral representation for it using Kingman's Poisson process construction, thereby extending the classical results of Shepp and Lloyd to the Ewens setting.

José Ricardo G. Mendonça, Luis Jehiel Negret2026-03-25
🔢 mathematics

A qq-Caputo Fractional Generalization of Tsallis Entropy: Series Representation and Non-Negativity Domains

This paper introduces a fractional generalization of Tsallis entropy using the qq-Caputo operator to derive a closed series representation involving the qq-Gamma function, demonstrating that the standard entropy is recovered as the fractional order approaches one and analyzing the parameter domains where the resulting entropy remains non-negative.

Matias P. Gonzalez, Micolta-Riascos Bayron2026-03-25
🔬 condensed matter

Nonequilibrium universality of the nonreciprocally coupled O(n1)×O(n2)\mathbf{O(n_1) \times O(n_2)} model

This paper extends the study of nonreciprocally coupled models to general O(n1)×O(n2)O(n_1) \times O(n_2) symmetries, demonstrating the emergence of nonequilibrium fixed points characterized by fluctuation-dissipation violations, underdamped oscillations, and exceptional-point-induced discrete scale invariance, while also identifying a distinct universality class for extreme nonreciprocity.

Jeremy T. Young, Alexey V. Gorshkov, Mohammad Maghrebi2026-03-24
🔬 condensed matter

A Cold Tracer in a Hot Bath: In and Out of Equilibrium

This paper investigates the transition of a zero-temperature overdamped tracer from active, non-equilibrium dynamics to an effective equilibrium regime as bath density increases, using analytical methods to characterize the approach to equilibrium and revealing that coupling the bath particles into a lattice allows the cold tracer to drive the entire system out of equilibrium.

Amer Al-Hiyasat, Sunghan Ro, Julien Tailleur2026-03-24