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 paper introduces a linear-time algorithm for sampling tightly confined random equilateral closed polygons in three-space by leveraging symplectic geometry to map the problem to a combinatorial moment polytope, enabling the derivation of explicit vertex distance formulas and a precise conjecture for the asymptotics of total curvature.
This paper presents a universal improvement to the Robertson-Schrödinger uncertainty relation by introducing a new, experimentally accessible noncommutativity-induced term that tightens the bound for mixed states and becomes an exact equality for all states and observables in two-level quantum systems.
This paper proposes an experimental scheme using a periodically driven Bose-Hubbard system with cavity-mediated interactions to induce global kinetic constraints, enabling the direct implementation of long-range multi-body interactions and efficient realization of global quantum gates like the -qubit Toffoli gate without decomposing them into two-body operations.
This paper demonstrates that autoregressive neural networks can efficiently estimate reduced density matrices and calculate the continuum limit of bipartite entanglement entropies for quantum spin chains by leveraging their correspondence with classical two-dimensional systems, requiring only a single training session for a fixed discretization and volume.
This paper demonstrates that the discrete time crystal phase transition in a periodically modulated Lipkin-Meshkov-Glick model, characterized by long-range interactions, can be harnessed for quantum-enhanced high-precision sensing of field strength through diverging quantum Fisher information near criticality.
This paper investigates the large- limit of the model on graphs, demonstrating that the system's free energy is governed by the spectrum of the Laplacian matrix at low temperatures and the Adjacency matrix at high temperatures, with exact solutions derived for trees and decorated lattices to highlight the critical role of coordination number and the loss of translational invariance.
Using advanced off-lattice simulations of extremely large self-avoiding polygons, this study determines precise knot types to confirm that the number of prime knot summands follows a Poisson distribution, estimate the characteristic knotting length at approximately 656,500, and validate both knot localization and the knot entropy conjecture.
This paper demonstrates that the Kibble-Zurek mechanism's universal defect scaling does not strictly depend on crossing a quantum critical point, as defect suppression can occur at criticality while conventional scaling persists in non-critical regimes within quasi-one-dimensional Fermi systems.
This paper extends a self-referential statistical operator framework by demonstrating the structural stability of the derived Tsallis index, establishing a rigorous H-theorem for both discrete iterations and continuous gradient flow within the local kernel approximation, and characterizing the non-perturbative emergence of a re-entrant disordered phase driven by the self-coupling parameter.
This paper demonstrates that a single-particle dark state in a spin chain with correlated dissipation fundamentally alters long-time many-body dynamics, inducing a universal scaling behavior characterized by a decay of the zero-momentum mode and a decay of total density.