1536 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 establishes a fundamental connection between quantum error correction and mesoscopic physics by demonstrating that the statistical properties of post-measurement logical states in surface codes under uniform Pauli- rotations are isomorphic to chaotic scattering matrices in quantum dots, thereby revealing a universal random-matrix ensemble governed by Altland-Zirnbauer symmetry classes.
This paper provides a constructive derivation of the continuum height field theory for the two-dimensional classical dimer model on square and honeycomb lattices by starting from an exact Grassmann integral representation, taking the continuum limit to obtain massless Dirac fermions, and applying bosonization to map the system to a height model that fully describes its long-distance correlations and topological properties.
This paper introduces a helical generalization of the Sachdev-Ye-Kitaev model in 1+1 dimensions, demonstrating that while its full interaction space breaks exact solvability, the theory flows to a free and integrable fixed point in the infrared limit due to the marginal irrelevance of all interactions.
This paper utilizes thermal inversion formulas to derive accurate asymptotic expressions for spectral densities and OPE coefficients of heavy operators in a 3D CFT dual to an interacting scalar field in AdS, demonstrating that these analytic results remain quantitatively reliable even at intermediate conformal weights despite bulk interactions.
This paper establishes a unified framework for dimensional analysis by formulating self-similarity through scale invariance, demonstrating that the method's validity stems from shared scale invariance between units and physical parameters, and using this perspective to propose a universal three-way classification of self-similar solutions.
This paper establishes a stochastic thermodynamic framework for diffusion models, demonstrating that the average time-asymmetry entropy production is proportional to the score-matching objective and that its fluctuations quantify sampling diversity, thereby revealing the entropic mechanisms underlying the superior performance and generalization of diffusion-based generative AI.
This paper demonstrates that a generalized Aubry-André model exhibits a third-order phase transition between distinct inhomogeneous charge distributions, where the hyperuniformity class of the many-body system is determined by the localization properties of single-particle states near the Fermi energy.
This paper investigates the inertial Brownian gyration of a microscopic ellipsoid confined in an asymmetric trap and coupled to two thermal reservoirs, revealing how nonequilibrium steady-state dynamics depend on particle shape, orientation, and inertia beyond the previously studied overdamped spherical cases.
This paper establishes a novel dS/(c)MERA correspondence by demonstrating that a non-unitary continuous multi-scale entanglement renormalization ansatz (cMERA) for a non-Hermitian critical fermion chain naturally gives rise to emergent de Sitter spacetime, where a timelike-to-null transition in geodesics dictates a discrete tensor-network architecture that successfully reproduces the logarithmic scaling of non-unitary entanglement entropy.
This paper presents exact finite-size expressions and a scalable combinatorial framework for characterizing equilibrium cluster statistics in cooperative and anticooperative binding on finite one-dimensional rings, providing new benchmarks for understanding spatial organization in small periodic systems relevant to biological assemblies.