1537 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 study employs large-scale molecular dynamics simulations and percolation theory to reveal that the low-to-high-density transition in compressed silica glass is driven by critical percolation of structural clusters, exhibiting critical exponents that suggest a rigidity percolation mechanism and highlighting common transformation principles between bonded and non-bonded amorphous materials.
This paper derives exact distributional identities and asymptotic behavior for the maximal minimal spacing between points selected from random points on a line by reformulating the problem as a threshold-resetting random walk, where the optimal spacing probability corresponds to the likelihood of completing at least reset cycles within steps.
Using exact diagonalization and time-dependent numerical methods, this study demonstrates that in a disordered XXZ spin chain, adiabatically ramped interactions preserve localized dynamical behavior at slow rates while faster driving rates induce significant excitation generation and entropy growth, thereby highlighting the strong dependence of nonequilibrium dynamics on ramp speed across the ETH-MBL transition.
This paper demonstrates through numerical simulations and tensor network techniques that frustrated Josephson junction dice arrays at one-third flux quantum frustration exhibit a superconductor-insulator transition characterized by half-vortex deconfinement and the emergence of a topologically protected 4e superconducting phase mediated by Cooper quartets.
This paper derives and solves a dynamic-balance equation to quantify how thermal activation and cooling rates determine the freezing temperature and resulting residual vortex density in narrow superconducting strips cooled through their transition temperature in a small magnetic field.
This paper establishes universal bounds for fractionally quantized recurrence times in monitored interacting quantum many-body systems, reveals their connection to dark states and Hilbert-space fragmentation, and experimentally validates these theoretical predictions on an IBM quantum computer.
This paper investigates the kinetic energy properties of random recurrent neural networks by combining dynamical mean-field theory with numerical simulations to reveal that average kinetic energy undergoes a continuous, cubic-scaled transition from zero to positive values at the chaos onset, providing a quantitative link between chaotic dynamics, unstable fixed points, and trajectory length.
This paper presents a smoothed-cubic spin-glass model for random lasers that replaces the spherical constraint with a more realistic gain-saturation mechanism, revealing a mean-field spin-glass transition via large-scale simulations while preventing intensity condensation and enabling the study of larger, more dilute systems.
This study investigates the statistical properties of min-max normalized eigenvalues in random matrices by deriving a scaling law for their cumulative distribution and the residual error in matrix factorization, with theoretical predictions validated through numerical experiments.
This paper introduces a Gutzwiller mean-field framework to simulate monitored three-dimensional Bose-Hubbard systems, demonstrating that strong-to-weak symmetry breaking can be characterized by a local order parameter that shares a critical point and scaling exponents with the charge-sharpening transition.