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 introduces Generalized Hopfield Networks on SU(d) symmetric spaces that utilize Lie algebraic methods to achieve nearly an order-of-magnitude increase in critical memory capacity compared to traditional vector networks, while demonstrating robust recall via Landau-Lifshitz-Gilbert dynamics and revealing connections to Sachdev-Ye glassy models upon quantization.
This paper investigates the persistence probability in two biased q-voter models using mean field theory and numerical simulations to establish phase diagrams that reveal a non-trivial correlation between long-time opinion dynamics and the fixed points of the system.
This paper demonstrates that conditioning a stochastically observed system on a shared collective record (such as a tagged particle's trajectory) induces a specific "Schur shield" that suppresses global fluctuations while preserving local independence, thereby establishing a calculable baseline for dynamical heterogeneity that must be subtracted from measured susceptibilities to reveal genuine cooperative signals.
This paper demonstrates that unbroken fusion ring symmetry in massless renormalization group flows between unitary minimal models eliminates relevant perturbations to stabilize the infrared theory as a symmetry-enforced gapless phase, while also revealing how nonsimple currents can induce resonance effects that trigger cascades of phase transitions.
This paper establishes that annealed current fluctuations in the two-dimensional symmetric simple exclusion process with a circular boundary can be reduced to a radially symmetric nonisospectral problem, enabling the derivation of a closed-form expression for the scaled cumulant generating function via scattering construction and scalar factorization.
This study utilizes a novel perturbation theory within classical density functional theory to demonstrate that a liquid-vapor interface exerts a strong attractive effective one-body interaction on dilute nanoparticles, a finding validated by the excellent agreement between calculations based on full density profiles and the Widom insertion theorem.
This paper derives joint splitting probabilities for two-dimensional drift-diffusive processes to define conditional splitting probabilities, which are then used to propose a scheme for inferring hidden internal states from observable exit events.
This paper introduces a -spin model with fluctuating pairwise couplings to demonstrate how the strength and persistence of microscopic interactions differentially control the glass transition, where stronger fluctuations suppress it while more persistent ones promote it, ultimately revealing an emergent fluctuation-dissipation relation.
This paper reports a second-order dynamical phase transition from localized to ballistic information spreading in a classical 2D momentum-conserving parity check cellular automaton, driven by conserved local charges and characterized by information-theoretic metrics and multifractal behavior arising from symmetry-enforced periodicities.
This paper establishes a robust bulk-boundary correspondence for two-dimensional non-Hermitian systems by utilizing Toeplitz operators and singular values—rather than unstable eigenvalues—to precisely characterize the stability, localization, and scaling of edge and corner modes without requiring crystalline symmetries.