2358 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 generalizes the concept of integrable boundary states for XXZ and XYZ spin chains by constructing factorized states via the KT-relation that impose explicit selection rules on Bethe roots and enable the derivation of overlaps with Bethe states in U(1)-symmetric cases.
This paper introduces the topological spectral form factor (TopSFF) as a probe for many-body quantum chaos, demonstrating that its behavior maps to an emergent non-Hermitian single-particle problem where a symmetry breaking transition at a critical interaction strength induces distinct dynamical phases characterized by monotonic decay, oscillations, or linear enhancement at the exceptional point.
This paper demonstrates that first-order Horndeski scalar-tensor couplings induce a dynamical cooling effect in two-dimensional CGHS black holes, causing Hawking evaporation to halt and potentially form stable macroscopic remnants that preserve quantum information and modify the Page curve without violating horizon regularity.
This paper establishes an analytic framework linking spread complexity to local spectral statistics by demonstrating that the Krylov kernel's banded structure allows the complexity's finite-time peak and late-time behavior to be directly expressed through the Fourier transforms of nearest-neighbour spacing distributions, thereby unifying the description of both chaotic and integrable quantum systems.
This paper compares axiomatic continuum thermodynamics and statistical-mechanical approaches to electromagnetics in moving matter, demonstrating that they yield structurally equivalent equations after redefining polarization and magnetization, with their sole irreducible difference being a momentum contribution from microscopic field fluctuations.
This tutorial review explores the emerging paradigm of using generative models, such as normalizing flows and diffusion models, to overcome the high-dimensional and multimodal sampling challenges inherent in classical Monte Carlo methods for scientific computing.
This paper demonstrates that noncommutative "fuzzy" geometry serves as a powerful nonperturbative tool for spectroscopy in massive quantum field theories, successfully reproducing known meson masses in the 1D Ising model and revealing bound-state evolution and glueball-like features during the crossover to 2D.
This paper demonstrates that a specific scale-invariant, dipole-conserving fracton Hamiltonian naturally evolves toward stable fixed points that reproduce the key features of a flat, matter-dominated cosmology—including Einstein-de Sitter expansion, homogeneous particle distributions, and a bidirectional arrow of time—without requiring fine-tuning.
This paper demonstrates that analyzing turning-angle statistics offers a robust method to detect hidden spatial anisotropies in the anomalous diffusion of molecules within live cells, overcoming the limitations of short, noisy, and randomly oriented trajectories that hinder conventional analyses.
This paper demonstrates that in an open exclusion process with reversible particle pausing, low-frequency output noise exhibits a strong nonmonotonic dependence on pausing rates, peaking at a universal, order-one mean paused population of approximately 1.5–2 particles regardless of system size, a phenomenon driven by the interplay between slow-defect kinetics and traffic-jam reorganization.