cond-mat.stat-mech 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.

🌀 nonlinear sciences

Physics constraints and response validation in discrete-time reduced-order modeling: from idealized turbulent systems to climate dynamics

This paper presents a physics-constrained, neural network-based reduced-order modeling framework that utilizes the fluctuation-dissipation theorem to validate and regularize models, successfully reproducing stationary statistics and predicting responses to perturbations in both idealized turbulent systems and complex, partially observed climate dynamics like ENSO.

Fabrizio Falasca, Laure Zanna2026-08-04

🔬 optics

Tangent equations of motion for nonlinear response functions

This paper introduces a systematic framework using tangent equations of motion (TEOM) to efficiently compute high-order nonlinear response functions directly from real-time dynamics, thereby avoiding the factorial scaling and numerical instability of traditional methods while enabling accurate calculations up to the 49th order.

Atsushi Ono2026-08-04

🔬 condensed matter

Semi-Markovian switching in a fluctuating harmonic trap: An age-structured formulation

This paper develops an age-structured formulation to restore Markovianity in a Brownian particle within a semi-Markovian switching harmonic trap, deriving exact steady-state solutions for spatial and variance distributions and analyzing the specific case of stochastic resetting.

Derek Frydel2026-08-04

⚛️ quantum physics

Optimal Decoding for Measurement-Based GHZ State Preparation: The Maximum-Utility Decoder

This paper introduces a Maximum-Utility Decoder (MUD) that frames decoding as minimum Bayesian risk inference to optimize the continuous long-range order of measurement-based GHZ states, achieving near-optimal performance through a scalable two-stage algorithm that significantly outperforms conventional decoders like MWPM and MLD.

Misha Yutushui, Theo Haas, Simon Trebst2026-08-04

⚛️ quantum physics

Dissipation in Periodically Driven Quantum Systems: Partial Secularization and Thermodynamic Consistency

This paper demonstrates that the standard full secular approximation in periodically driven open quantum systems can yield unphysical energy currents, and proposes a coarse-grained master equation formulation that ensures completely positive dynamics and thermodynamic consistency while aligning with exact non-Markovian simulations.

Luísa T. Tude, Carlos Ortega-Taberner, Roberta Zambrini, Gonzalo Manzano2026-08-04

🔬 condensed matter

Memory with Onsager-Casimir symmetry: Rotating particle in a viscoelastic fluid

This paper combines experiments and theory to demonstrate that a rotating Brownian particle in a viscoelastic fluid exhibits enhanced diffusivity and time-antisymmetric cross-correlations, which are explained by a minimal model featuring a non-reciprocal memory kernel that satisfies Onsager-Casimir symmetry and establishes a novel geometric fluctuation-response relation linking cross-correlations to transverse response.

Debankur Das, Niloyendu Roy, Niklas Windbacher, Clemens Bechinger, Matthias Krüger2026-08-04

🌀 nonlinear sciences

Duck hunting with quantum mechanics

This paper establishes a theoretical bridge between classical slow-fast systems and semi-classical quantum mechanics by demonstrating that classical canard solutions in overdamped Josephson junctions are the shadows of quantum instantons, with their existence domain bounded by instanton actions.

Artem Alexandrov2026-08-04

⚛️ quantum physics

Work Statistics of Autonomous Quantum Energy Pumps

This paper develops a terminal-resolved quantum theory of work statistics for autonomous energy pumps that distinguishes transported work from internal accumulation, recovers conventional currents via ideal-clock modeling, and reveals how terminal correlations and noise matching can enhance or refine energy transfer beyond mean-current descriptions.

Yang Peng2026-08-04

🧬 biology

Funnel-like protein energy landscapes emerge from functional evolution under thermal fluctuations

This study demonstrates that funnel-like protein energy landscapes, essential for foldability, can spontaneously emerge as a thermodynamic consequence of evolutionary selection for functional activity under specific environmental temperatures, without requiring direct selection for structural stability.

Norifumi Maruyama, Macoto Kikuchi2026-08-04

🔬 condensed matter

Gap distributions between successive personal bests in cricket: Data and Models

This paper analyzes cricket personal best records to demonstrate that career progression and temporal evolution significantly alter gap distributions between successive records, causing them to deviate from classical universal predictions and follow truncated power laws that reflect nonstationary, path-dependent systems.

Priyanka D. Bhoyar, Prashant M. Gade2026-08-04

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