2422 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 the Krylov distribution, a novel static diagnostic that characterizes the organization of inverse-energy response within the dynamically accessible Krylov subspace, revealing universal scaling regimes across spectral supports and connecting fidelity susceptibility to Krylov-resolved resolvent amplitudes.
This paper introduces the interpolation -Push TASEP Markov chain to provide a probabilistic interpretation of interpolation Macdonald polynomials at as partition functions, thereby generalizing the earlier result linking standard Macdonald polynomials to the multispecies -Push TASEP.
This paper establishes a gauge-invariant response theory for open quantum systems by deriving the Ward-Takahashi identity to demonstrate that gauge invariance holds independently of particle-number conservation, leading to the prediction of diffusive collective modes in dissipative BCS superconductors.
This study utilizes La-NMR to characterize the magnetic phase diagram of the equilateral triangular-lattice antiferromagnet BaLaCoTeO, revealing a zero-field 120 ordered state below 3.26 K and a field-induced sequence of transitions involving up-up-down and triangular coplanar phases above 3 T.
This paper proposes a self-consistent criterion for determining the validity range of linear response theory in classical open systems, utilizing a typical length scale derived from the fluctuation-response inequality and illustrated through examples like Brownian particles and the Kibble-Zurek mechanism.
This paper presents a short-time expansion method for one-dimensional Fokker-Planck equations with spatially dependent diffusion coefficients across general stochastic integral discretization parameters, decomposing the propagator into a closed-form singular term and a regular term computable via a Taylor series with coefficients satisfying ordinary differential equations.
This paper introduces a novel method for characterizing flat regions in continuous constraint satisfaction problems by counting wedged and inscribed spheres, revealing at least two distinct topological regimes in the solution space of the spherical perceptron.
This paper introduces a fully quantum Metropolis-Hastings algorithm for Integer Linear Programming that utilizes reversible quantum circuits to perform coherent random walks over discrete feasible regions without qRAM or classical pre/post-processing, achieving linear resource scaling and demonstrating effective thermalization toward optimal solutions in numerical simulations.
This paper demonstrates that learning Ising model parameters and structure is computationally feasible using only limited-order sufficient statistics, specifically up to order for a model with width , thereby bridging the gap between computationally hard full-statistic requirements and practical observational constraints.
This paper establishes a fundamental trade-off between accuracy and energetic cost for a propelled particle maintaining localization against thermal noise and a constant flow, demonstrating that optimal non-feedback control protocols achieve superior precision by utilizing discontinuous switching between passive and active states with time-dependent diffusivity.