2419 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.
This paper demonstrates that the saturation of cumulative observables in systems with propagating signals is a universal consequence of local linear relaxation, establishing a geometry-independent bound determined solely by the relaxation time that transitions from linear growth to saturation.
This paper employs inhomogeneous Percus-Yevick integral equation theory to demonstrate that the method accurately models hard disks confined in narrow channels, successfully capturing the dimensional crossover from two to one dimension and predicting the onset of a structural zigzag transition at high packing densities.
This paper extends a statistical field-theoretical framework to derive an analytical relation between mean gap and applied pressure in rough surface contacts, enabling the prediction of gap distributions that align well with Green's function molecular dynamics simulations.
This paper identifies a novel mechanism called "pseudo-coherence," where non-normal pseudospectral amplification in linearly stable, non-oscillatory stochastic systems drives a sharp transition to intermittent collective temporal organization and irreversible currents without requiring intrinsic oscillators or dynamical instabilities.
This study demonstrates through numerical simulations of a spatial trust game that inter-role rewards do not linearly promote trust, as excessive rewards can trigger non-return strategies that suppress cooperation, while moderately costly rewards are most effective at consolidating trust clusters.
This paper establishes an exact information-geometric exponent describing the scaling of Fisher information scalar curvature at critical points for lattice spin models under periodic boundary conditions, deriving a universal formula in terms of critical exponents that is validated through exact transfer-matrix and Monte Carlo simulations across 2D and 3D Ising and Potts models.
This paper introduces the Weighted Planar Stochastic Porous Lattice (WPSPL), a multifractal, scale-free porous substrate, and demonstrates through analytical and numerical methods that bond percolation on this lattice exhibits a continuous family of distinct universality classes with critical exponents that vary with porosity while satisfying the Rushbrooke inequality.
This paper proposes a d-dimensional generalization of the Kuramoto model on matrix-weighted networks, deriving necessary conditions for global synchronization and proving via a Master Stability Function approach that the synchronous solution is locally stable for any positive coupling strength on connected networks.
This companion paper details the geometric and computational framework behind numerical solutions to the spherical grasshopper problem, analyzing optimal lawn configurations and their significance for approximating quantum singlet correlations through spherical harmonics and connections to geometric probability.
This study employs third-order perturbation theory to demonstrate that quantum effects in square-well fluids smooth supercritical scalar curvature anomalies and shift their extrema depending on interaction range, while preserving mean-field critical exponents and revealing distinct Widom line behaviors compared to classical counterparts.