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 reformulates the dimensional reduction of Parisi-Sourlas supersymmetric models using supercharge cohomology to provide new proofs via operator decoupling, supersymmetric localization, and a generalized -exact deformation of Cardy's interpolation argument that extends to non-scalar theories.
This paper establishes a unified symmetry classification for interacting many-body localized phases by deriving a framework from emergent local integrals of motion that distinguishes phases based on symmetry compatibility with the LIOM algebra and the enforcement of many-body degeneracies.
This paper establishes a rigorous mathematical framework for higher-order spin models on hypergraphs by demonstrating how their partition functions relate to generalized Tutte polynomials and polymatroids, thereby extending the classical graph-theoretic connection between Potts models and the Tutte polynomial to a broader class of hypergraphical interactions.
This paper demonstrates that under generic ergodic dynamics, distinct quantum resource measures become mutually interdependent and can be reconstructed from just a few common degrees of freedom, revealing an emergent simplification where strong scrambling reduces diverse nonclassicalities to a unified dynamical description.
This paper proposes a unified thermodynamic theory that resolves ambiguities regarding entropy, information, and complexity in materials and biological systems by redefining state variables as time-averaged atomic positions, thereby distinguishing entropy as uncertainty in these variables rather than information itself while preserving the third law.
This paper demonstrates that the projected ensemble of a Tomonaga-Luttinger liquid exhibits a universal, interaction-independent nonlinear hierarchy of state overlap moments at quantum criticality, a phenomenon explained through replica boundary conformal field theory and confirmed by matrix product state and free fermion calculations.
This paper establishes that the error in ground-state expectations of local observables caused by truncating interaction tails in gapped quantum lattice systems is controlled by the discarded interaction strength rather than the extensive norm, yielding optimal, size-independent convergence rates that depend on the decay profile of the interactions.
This paper demonstrates that the Hodge-de Rham decomposition of Berry curvature provides a unified geometric framework for Bloch band transport, where the harmonic sector governs noiseless topological responses (like the anomalous Hall effect and chiral anomaly) while the exact and co-exact sectors drive geometric fluctuations, thereby enabling current-noise spectroscopy to distinguish global band topology from local band geometry in both two and three dimensions.
This paper presents a statistical-mechanical analysis of quantum harmonic oscillators with frequencies drawn from a folded Gaussian distribution, deriving exact thermodynamic quantities and demonstrating that the distribution's kink at zero frequency induces a soft-mode infrared tail that leads to a power-law heat capacity in lattices, thereby clarifying that the resulting low-temperature behavior stems from single-site spectral properties rather than rare Lifshitz tails.
This paper establishes universal, symmetry-dependent distributions for the fidelity susceptibility of chaotic eigenstates at the spectral edge of Gaussian random-matrix ensembles, demonstrating that edge rigidity causes these states to be parametrically less sensitive to perturbations than bulk states due to a characteristic scaling.