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.

🔬 condensed matter

Critical and quasicritical behavior in a three-species dynamical model of semi-directed percolation

This study investigates a one-dimensional three-species dynamical model of semi-directed percolation, demonstrating that it exhibits a directed percolation universality class phase transition and reveals a complex quasi-critical regime with spontaneous activity characterized by two distinct pseudo-thresholds: one maximizing dynamic susceptibility and another governing scale-free spatial and temporal correlations.

C K Jasna, V Sasidevan2026-03-18

🔬 condensed matter

Stochastic Two-temperature Nonequilibrium Ising model

This paper investigates the nonequilibrium stationary state of a two-dimensional Ising model subjected to stochastic temperature modulation between $T_c \pm \delta$ , revealing that magnetization and energy exhibit non-monotonic dependence on the switching rate while the fast-switching regime mimics a Boltzmann distribution with an effective temperature despite sustaining a finite energy current.

Debraj Dutta, Ritwick Sarkar, Urna Basu2026-03-18

🔬 condensed matter

Anomalous Criticality of Absorbing State Transition toward Jamming

By re-examining biased random organization models, this paper reveals that jamming transitions in dense athermal systems exhibit anomalous criticality deviating from the Manna universality class due to crystallization, active-glass states, and Griffiths effects, which are unified under a field theory with fractional time dynamics.

He-Da Wang, Bo Wang, Qun-Li Lei, Yu-Qiang Ma2026-03-18

⚛️ quantum physics

Open Quantum Dynamics Theory for Coulomb Potentials: Hierarchical Equations of Motion for Atomic Orbitals (AO-HEOM)

This paper presents a numerically exact, non-perturbative, and non-Markovian framework called AO-HEOM, derived from a three-dimensional rotationally invariant system-bath model, to investigate the quantum dynamics and linear absorption spectra of atomic orbitals in Coulomb potentials interacting with thermal baths.

Yankai Zhang, Yoshitaka Tanimura2026-03-18

🔢 mathematics

A non-perturbative framework for N-point functions of locally non-Gaussian fields

This paper introduces a non-perturbative framework for calculating N-point correlation functions and polyspectra of locally non-Gaussian fields, offering a semi-perturbative alternative to local expansions and demonstrating its efficacy by deriving exact analytic results for fields with exponential tails in the strongly non-Gaussian limit.

Hardi Veermäe2026-03-18

🔬 condensed matter

Breaking of clustering and macroscopic coherence under the lens of asymmetry measures

This paper investigates how local perturbations in an interacting one-dimensional system with conserved domain walls amplify quantum interferences to produce macroscopic magnetization profiles and quantum coherence, characterizing these phenomena using Entanglement Asymmetry and Quantum Fisher Information while establishing a generalized inequality between them for mixed states.

Florent Ferro2026-03-18

🔬 condensed matter

Casimir versus Helmholtz forces in the Gaussian model: exact results for Dirichlet--Dirichlet, Neumann--Dirichlet, Neumann--Neumann, and periodic boundary conditions

This paper presents exact results in the three-dimensional Gaussian model at the critical temperature, demonstrating that while Casimir and Helmholtz fluctuation-induced forces coincide under periodic and Neumann-Neumann boundary conditions, they exhibit distinct behaviors—ranging from differing signs to varying dependencies on external fields or order parameters—under Dirichlet-Dirichlet and Neumann-Dirichlet boundary conditions.

Daniel Dantchev, Joseph Rudnick2026-03-18

⚛️ quantum physics

Qudit Implementation of the Rodeo Algorithm for Quantum Spectral Filtering

This paper proposes a qudit-based formulation of the Rodeo algorithm featuring a novel "Rodeo kernel" spectral filter and a microcanonical protocol for estimating entropic quantities, demonstrating through numerical simulations on the Ising model that higher-dimensional ancillae significantly reduce fluctuations and enhance spectral analysis compared to traditional qubit implementations.

Julio Cesar Siqueira Rocha, Rodrigo Alves Dias2026-03-18

⚛️ quantum physics

Uncertainty Relation for Entropy and Temperature of Gibbs States

This paper derives a universal uncertainty relation between entropy and temperature for Gibbs states, demonstrating that their product is independent of system-specific details and fundamentally expresses the Legendre conjugacy between these thermodynamic variables through quantum Fisher information.

Francis J. Headley2026-03-18

🔬 condensed matter

Fractal and Spectral Dimensions as Determinants of Thermal Ablation Outcomes in Cancer Tissues

This study demonstrates that incorporating tissue fractal geometry and spectral dimensions into a fractal-fractional bio-heat model successfully explains the clinical variability in thermal ablation outcomes, revealing that topological connectivity is a key determinant of coagulation zone expansion and ablative efficacy in malignant neoplasms.

Mario Olmo-Fajardo, Alexander López, Malte Henkel, Sébastien Fumeron2026-03-18

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