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.

🔬 physics

Beam-Plasma Collective Oscillations in Intense Charged-Particle Beams: Dielectric Response Theory, Langmuir Wave Dispersion, and Unsupervised Detection via Prometheus

This paper establishes a kinetic field theory for beam-plasma collective oscillations in intermediate-energy charged-particle beams, deriving dispersion relations and critical density thresholds that are validated by a Prometheus beta-VAE analyzing particle-in-cell simulation data to confirm predicted signatures like density-tunable resonances and Friedel oscillations.

Brandon Yee, Wilson Collins, Michael Iofin, Jiayi Fu2026-03-12

🔬 mesoscale physics

Topological heavy-tailed networks

This paper introduces topological heavy-tailed networks by constructing a tight-binding model for the Apollonian network with nontrivial gauge fields to reveal the "Apollonian butterfly" spectrum, demonstrating how spectral localizers characterize its topological features as being governed by lower-degree nodes and bridging topological physics with network science for wave control.

Sunkyu Yu, Xianji Piao, Namkyoo Park2026-03-12

🔬 physics

Magnetohydrodynamics in turbulent dynamo regime: the stability problem

This paper demonstrates that the previously proposed stabilization mechanism for helical magnetohydrodynamic turbulence via spontaneous symmetry breaking yields only singular solutions due to inconsistent truncations, arguing instead that a consistent field-theoretic description of large-scale mean-field generation requires the inclusion of a bare curl term arising from parity-violating modifications to Ohm's law.

Michal Hnatič, Tomáš Lučivjanský, Lukáš Mižišin, Yurii Molotkov nd Andrei Ovsiannikov2026-03-12

⚛️ quantum physics

Probing the ergodicity breaking transition via violations of random matrix theoretic predictions for local observables

This paper demonstrates that violations of random matrix theory predictions for local observables, specifically regarding quantum Fisher information dynamics and fluctuation-dissipation relations, can serve as effective witnesses for detecting ergodicity-breaking transitions in quantum many-body systems across integrability, many-body localization, and quantum many-body scars.

Venelin P. Pavlov, Peter A. Ivanov, Diego Porras, Charlie Nation2026-03-12

⚛️ quantum physics

Universal purification dynamics in real non-unitary quantum processes

This paper investigates the universal purification dynamics in monitored non-unitary quantum processes across different random-matrix symmetry classes by employing two complementary toy models—discrete-time Gaussian matrix multiplication and continuous-time Dyson Brownian motion—to derive explicit expressions for the universal decay of Rényi entropies and validate these theoretical predictions through numerical simulations.

Federico Gerbino, Donghoon Kim, Guido Giachetti, Andrea De Luca, Xhek Turkeshi2026-03-12

⚛️ quantum physics

Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics

This paper establishes a formal equivalence between the Lindblad equation and Path Integral Molecular Dynamics (PIMD), demonstrating how PIMD can be utilized to simulate the non-equilibrium time evolution and convergence of ensemble-averaged observables in large atomic systems without explicitly solving the Lindblad equation, while ensuring the physical consistency of the density operator's positivity.

Benedikt M. Reible, Somayeh Ahmadkhani, Luigi Delle Site2026-03-12

🌀 nonlinear sciences

Effect of hidden geometry and higher-order interactions on the synchronization and hysteresis behaviour of phase oscillators on 5-cliques simplicial assemblies

This study numerically demonstrates how the hidden geometry and spectral dimensions of 5-clique-based simplicial complexes, combined with pairwise and higher-order interactions, shape hysteresis loops and induce local synchronization patterns that impede global synchronization in phase oscillator systems.

Samir Sahoo, Bosiljka Tadic, Malayaja Chutani, Neelima Gupte2026-03-11

🔬 condensed matter

Tensor network simulations for nonorientable surfaces

This paper introduces an efficient tensor renormalization group method incorporating spatial reflection operators to simulate nonorientable surfaces like the Klein bottle and $\mathrm{RP}^2$ , enabling the calculation of free energy terms and partition functions for larger system sizes than previously possible.

Haruki Shimizu, Atsushi Ueda2026-03-11

⚛️ quantum physics

Exact Calculations of Coherent Information for Toric Codes under Decoherence: Identifying the Fundamental Error Threshold

This paper presents the first exact analytic expression for the coherent information of a decohered toric code, rigorously establishing a direct connection between the fundamental error threshold and the criticality of the random bond Ising model without relying on the replica trick.

Jong Yeon Lee2026-03-11

🔬 condensed matter

Fundamental interactions in self-organized critical dynamics on higher-order networks

This paper investigates how higher-order network geometries, specifically through edge- and triangle-embedded couplings within simplicial complexes, fundamentally shape self-organized critical dynamics and collective behaviors like synchronization and hysteresis in complex systems.

Bosiljka Tadic, Roderick Melnik2026-03-11

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