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.

⚛️ quantum physics

Open-system dynamics in local Lindbladians with chaotic spectra

This paper investigates open-system dynamics in local Lindbladians with chaotic spectra, revealing that while random matrix theory predicts quasiuniversal early-time behavior for nonlinear quantities, spatial locality imposes distinct constraints on eigenoperator size dependence that cause linear observables to be highly sensitive to spectral outliers and exhibit dissipation scaling that varies significantly between single-site and two-site dominated regimes.

Sanket Chirame, Fiona J. Burnell2026-06-23

⚛️ quantum physics

Coexistence of inequivalent time-crystalline orders in a Floquet collective spin system

This paper demonstrates that spatially non-uniform periodic driving in collective spin systems, such as the Lipkin-Meshkov-Glick model, enables the coexistence of inequivalent discrete time-crystalline orders and chimera phases in both finite-size and thermodynamic limits.

Shashank Mishra, Sayan Choudhury2026-06-23

🤖 AI

Constituency Optimisation Through Hamiltonian Representation Of Mandates (COTHROM): Algorithmic Redistricting of Irish Election Boundaries

This paper introduces COTHROM, a novel computational framework that applies statistical physics and multi-criterion decision analysis to algorithmically optimize Irish electoral redistricting under the PR-STV system by balancing competing constitutional objectives through a Potts Hamiltonian model.

Ruaidhrí Campion, Matthew Fenlon, Joshua Cooney Mercedal, Casey Farren-Colloty, Eliza Somerville, Michael A. J. Mitchell2026-06-23

⚛️ quantum physics

Parametric correlations in non-Hermitian quantum chaos: random matrix approach

This paper derives an explicit, closed-form expression for the parametric number covariance of complex Ginibre matrices in symmetry class A, demonstrating its universality across various non-Hermitian ensembles and establishing a connection between these spectral correlations and the distribution of eigenvector non-orthogonality factors.

Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine2026-06-23

🔬 physics

Generalized Mpemba effect in diffusion-controlled spin-dependent delayed fluorescence

This paper demonstrates that magnetic-field-dependent delayed fluorescence in triplet-fusion systems exhibits a generalized Mpemba effect, where relaxation trajectories cross due to the redistribution of transient pathways driven by diffusion-controlled geminate recombination and spin-selective kinetics.

Kazuhiko Seki2026-06-23

🔬 condensed matter

Nonreciprocal Disorder Prevents Zero-Temperature Freezing in a Ferromagnet

The study demonstrates that introducing randomly distributed nonreciprocal bonds into a 2D Ising ferromagnet prevents zero-temperature freezing by inducing a continuous nonequilibrium transition and sustaining active athermal dynamics through rare-region reversals and logarithmic coarsening.

Noah Grodzinski, Robert L. Jack, Sarah A. M. Loos2026-06-23

🔬 condensed matter

Nonlocal fractional Kardar-Parisi-Zhang dynamics of grain boundaries

Through large-scale molecular dynamics simulations and a nonlocal fractional Kardar-Parisi-Zhang theory, this study reveals that driven grain boundaries undergo a sharp morphological transition from the quenched Edwards-Wilkinson to an anomalous fKPZ regime at the yield point, where long-range elastic interactions and avalanche noise prevent gradient catastrophe and establish a universality class analogous to dynamic fracture.

Kai Zhao2026-06-23

🌀 nonlinear sciences

Internal-state criticality in Bayesian-inverse-Bayesian inference

This paper proposes Bayesian-inverse-Bayesian (BIB) inference as a minimal generative model that induces robust internal criticality in repeated games through hypothesis renewal, characterized by heavy-tailed statistics and a zero-drift log-posterior walk without requiring external parameter tuning.

Kazuto Sasai, Yukio-Pegio Gunji2026-06-23

🔬 condensed matter

Quasi-two-dimensional dispersions of Brownian particles with competitive interactions: Dynamical clustering, non-Gaussianity and hydrodynamic correlations

This study employs Langevin and multiparticle collision dynamics to demonstrate that quasi-two-dimensional Brownian dispersions with competing short-range attractive and long-range repulsive interactions exhibit suppressed self-diffusion, non-Gaussian clustering dynamics, and hydrodynamic interactions that become relevant on inertial timescales while preserving enhanced large-scale collective diffusion.

Zihan Tan, Vania Calandrini, Jan K. G. Dhont, Gerhard Nägele2026-06-23

⚛️ quantum physics

Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence

This paper demonstrates that progressive subsystem decoherence in extended cluster states induces a hierarchical sequence of mixed symmetry-protected topological phases characterized by Rényi-2 string orders, ultimately terminating in a glassy GHZ state via strong-to-weak spontaneous symmetry breaking, thereby revealing decoherence as an organizing mechanism for nontrivial mixed-state entanglement.

Yoshihito Kuno, Takahiro Orito2026-06-23

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