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

Bayesian Time-Lapse Full Waveform Inversion using Hamiltonian Monte Carlo

This paper proposes a Bayesian sequential approach for time-lapse Full Waveform Inversion using Hamiltonian Monte Carlo to effectively quantify uncertainties in high-dimensional seismic problems by integrating baseline survey data as prior knowledge, demonstrating accuracy comparable to parallel schemes while managing computational costs.

Paulo Douglas S. de Lima, Mauro S. Ferreira, Gilberto Corso, João M. de Araújo2026-02-13
🔬 condensed matter

Stationary densities and delocalized domain walls in asymmetric exclusion processes competing for finite pools of resources

This paper demonstrates that a pair of antiparallel asymmetric exclusion processes competing for finite particle reservoirs exhibits an extended region of delocalized domain walls in its phase diagram, leading to large particle number fluctuations in the thermodynamic limit, a behavior distinct from standard TASEP models where such walls typically exist only along a specific line.

Sourav Pal, Parna Roy, Abhik Basu2026-02-13
🔬 condensed matter

Intermediate Thermal Equilibrium Stages in Molecular Dynamics Simulations of two Bodies in Contact

This study utilizes classical molecular dynamics simulations of argon-based two- and three-region models to analyze the intermediate fluctuations, correlations, and temperature distributions that characterize the process of heat conduction leading to thermal equilibrium, thereby providing a detailed microscopic perspective on the Zeroth Law of Thermodynamics.

Jonathas N. da Silva, Octavio D. Rodriguez Salmon, Minos A. Neto2026-02-13
🔢 mathematics

Two-point functions in boundary loop models

This paper employs conformal bootstrap techniques to derive analytical expressions for two-point functions of bulk fields in critical loop models on the upper-half plane, specifically determining two-point connectivities for the Fortuin-Kasteleyn random cluster model under free and wired boundary conditions and validating these continuum predictions against lattice numerics through universal amplitude ratios.

Max Downing, Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Hubert Saleur2026-02-13