2003 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 investigates the link between energy dissipation and symmetry breaking in amorphous solids under quasi-static strain, demonstrating through a solvable mesoscopic theory and numerical simulations that dissipation arises specifically from rotational symmetry breaking during a sharp transition between conservative and dissipative mechanical responses.
This paper investigates radially symmetric 2D Coulomb gas systems at inverse temperature where the equilibrium density vanishes on an interior ring, revealing a novel term in the partition function's large- expansion and deriving a new limiting correlation kernel distinct from the Ginibre kernel under a specific double scaling limit.
This tutorial introduces the paradigm of critical quantum metrology, which leverages enhanced susceptibility and nonclassical correlations near quantum phase transitions to achieve precision beyond classical limits, while guiding readers through various sensing protocols, optimal resource scaling, and the extension of these strategies to realistic open-system and strongly correlated regimes.
This paper analytically solves the Fokker-Planck equation for an overdamped Brownian particle in a tilted cosine potential to derive the intermediate scattering function and related dynamical moments using spectral theory and perturbation methods, with results validated by simulations across various tilting force regimes.
This paper investigates a spin-1/2 impurity coupled to the boundary of an integrable spin-s Takhtajan-Babujian chain, revealing a rich phase diagram of boundary quantum phase transitions and bound states that reorganize the excitation spectrum, and provides a unified thermodynamic and dynamical description of these phenomena through a combination of boundary conformal field theory, exact Bethe Ansatz, generalized thermodynamic Bethe Ansatz, and tensor-network simulations.
This paper proposes a minimal dynamical model demonstrating that in polarized societies, aggregate electoral outcomes are driven not by direct persuasion between stable partisan blocs, but by the fluctuations and allocation of a mobile voter interface governed by rejection asymmetries.
This paper demonstrates that in the maximal density regime of self-organized criticality, affine symmetry emerges and the scaling limit of the toppling function converges to the unique concave solution of a Monge-Ampère equation, thereby linking the model's behavior to optimal transport and enabling precise estimates of density deviations.
This paper proposes that the linearization of gradient-based learning in deep neural networks, particularly in the infinite-width limit, stems from weak correlations between the first and higher-order derivatives of the hypothesis function, a principle used to derive bounds on training deviations and characterized via a novel method for analyzing random tensors.
This paper investigates how non-uniform error rates with extended spatio-temporal correlations, such as those caused by rare events, impact topological quantum error correction, revealing that while the 1D repetition code exhibits a distinct Griffiths phase with stretched exponential failure rates, the 2D toric code lacks such a phase and instead suffers an asymptotic loss of threshold when rare regions exceed the bulk error threshold.
This paper presents a fully non-perturbative quantum methodology combining Path Integral Monte Carlo simulations with Green-Kubo linear response theory to accurately compute the thermal conductivity of insulating solids at low temperatures, successfully explaining experimental anomalies in rare gas systems that cannot be captured by classical or semi-classical frameworks.