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

Scaling regimes of the Kuramoto-Sivashinsky equation from the functional renormalization group

This paper resolves inconsistencies in previous perturbative Wilsonian renormalization group approaches to the one-dimensional Kuramoto-Sivashinsky equation by employing the functional renormalization group with a smooth cutoff, thereby establishing flow to the Kardar-Parisi-Zhang fixed point and characterizing three universal scaling regimes (KPZ, Edwards-Wilkinson, and inviscid) across different momentum and frequency scales.

Liubov Gosteva, Nicolás Wschebor, Léonie Canet2026-07-20

🔬 condensed matter

Zigzag ordering, defects, and anomalous relaxation in antiferromagnetic Kuramoto lattices

This paper demonstrates that deterministic antiferromagnetic Kuramoto lattices exhibit anomalously slow relaxation and a distinct universality class characterized by specific scaling exponents, driven solely by geometric frustration and nonlinear dynamics without the need for disorder or noise.

Priyanka D. Bhoyar, Prashant M. Gade2026-07-20

🔬 condensed matter

Thermodynamics of quantum oscillators

This paper presents a compact analytical approximation for the quantum partition function of arbitrary systems of coupled anharmonic oscillators, derived via a temperature-dependent Gaussian path integral approach and optimized by the principle of minimal sensitivity, which achieves high accuracy (1–5% error) across a wide range of temperatures and interaction strengths.

Michel Caffarel2026-07-17

🔬 mesoscale physics

Topological states and flat bands in exactly solvable decorated Cayley trees

This paper demonstrates that decorated Cayley trees, as tree analogs of specific two-dimensional lattices, exhibit flat energy bands that correspond to topological edge states of one-dimensional chains, revealing how non-Euclidean geometry alone can generate and stabilize unconventional quantum states.

Wanda P. Duss, Askar Iliasov, Tomáš Bzdušek2026-07-17

🔬 condensed matter

Data-driven analysis of metastability in a stochastic bistable system

This paper presents a data-driven methodology using the Koopman operator to analyze metastability in stochastic bistable systems by tracking subdominant modes to accurately predict escape statistics, reconstruct basins of attraction, and characterize multi-scale dynamics in both equilibrium and nonequilibrium conditions without relying on trajectory following.

Ankan Banerjee, Manuel Santos Gutierrez, John Moroney, Valerio Lucarini2026-07-17

🔬 condensed matter

Gravity-Induced Thermal Rectification in Gaseous Systems

This paper demonstrates that gravity alone can induce and modulate thermal rectification in gaseous systems, enabling perfect unidirectional heat conduction in both single-particle and interacting many-particle models, with the potential for reversing rectification direction in gas mixtures.

Rongxiang Luo, Chao Yang, Juncheng Guo, Qiyuan Zhang2026-07-17

⚛️ quantum physics

Quantum many-body mixed phase space revealed by hybrid feedback control

This paper presents a hybrid quantum-classical feedback protocol implemented on a superconducting processor that autonomously discovers and stabilizes long-lived regular trajectories, thereby experimentally revealing a novel quantum many-body mixed phase space arising from nonlinear variational dynamics.

Hang Dong, Jie Ren, Andrew Hallam, Han Wang, Zhengyi Cui, Yiren Zou, Junlin Wang, Hekang Li, Qiujiang Guo, Zhen Wang, Le (…)2026-07-17

🔬 condensed matter

Long-lived memory in sliding spin chains

This paper demonstrates that sliding two coupled ferromagnetic Ising chains past each other generates magnetic friction, which parametrically extends the system's memory of its initial magnetization and significantly slows down thermalization compared to the static case.

Charles Stahl, Ethan Lake2026-07-17

🔬 condensed matter

Moment-Resolved Readout and Reservoir Diversity in Nonequilibrium Langevin Computing

This paper extends nonlinear thermodynamic computing based on Langevin dynamics by introducing moment-resolved readout and a heterogeneous multi-reservoir architecture, which together achieve a 96.95% accuracy on MNIST classification by leveraging higher-order statistical features and complementary error patterns.

JiZheng Duan, MingYang Zhao, YanWei Chen, Lei Yang2026-07-17

🔬 condensed matter

Overlapping Network Community Detection Using Sparse Backbones

The paper introduces Highway, a scalable open-source algorithm for overlapping community detection that leverages sparse network backbones to achieve superior accuracy-efficiency trade-offs, outperforming existing methods on benchmark datasets.

Zihe Zhou, Samin Aref2026-07-17

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