1592 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 demonstrates that the coarse-grained Shannon entropy of random walks with shrinking steps (Bernoulli convolutions) exhibits a local maximum at the dyadic contraction ratio of 1/2 due to the competition between diffusive spreading and emergent fractal fine structure, a finding with potential implications for modeling protocell self-replication and vesicle proliferation.
This paper establishes the condensation transition in stochastic lattice gases with size-dependent stationary weights by deriving the cluster size distribution via size-biased sampling and the equivalence of ensembles, revealing that the condensed phase can manifest as either a single macroscopic cluster or a diverging number of smaller clusters depending on system parameters.
This paper investigates the statistical properties and clustering organization of fixed points in Boolean networks with sparse random connections, revealing that their moments remain finite except at phase transitions where singularities arise, and that the structure of these fixed points shifts from a single cluster in the frozen phase to potentially multiple extensive clusters in the fluctuating phase.
This paper presents an exact solution for a Brownian particle with algebraically decaying diffusion subject to memory-dependent resetting, revealing that the interplay of these mechanisms leads to ultra-slow sub-logarithmic diffusion characterized by a bimodal, non-Gaussian position distribution.
This paper reformulates and generalizes the equilibrium hyperforce sum rule and the BBGKY hierarchy for both Euclidean and periodic systems by demonstrating that they can be derived from the Leibniz rule applied to the pairing of tempered distributions and Schwartz functions.
By employing a combination of advanced numerical and analytical methods, this study maps the complex ground-state phase diagram and finite-temperature magnetization process of a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice, revealing a rich variety of frustration-induced quantum phases and robust magnetization plateaus at 0, 1/4, 1/2, and 3/4 saturation.
This paper demonstrates that a discrete mirror symmetry in the quantum kicked rotor, induced by zero initial momentum, generates quasi-degenerate Floquet doublets whose exponentially small splittings drive a glass-like logarithmic relaxation of scattering peaks, revealing a profound link between quantum coherence and slow dynamical phenomena.
This paper develops a perturbative expansion that systematically extends the Big Jump Principle beyond its asymptotic regime to bridge the gap between Gaussian fluctuations and far-tail behavior in sums of stretched-exponential random variables, while also generalizing the framework to continuous-time random walks to model non-Gaussian transport processes.
This paper derives a universal upper bound on relative fluctuations in many-particle systems driven by hidden stochastic effects, establishing an information-fluctuation inequality that links macroscopic correlations to generalized mutual information and demonstrating its validity through applications to non-interacting Brownian gases.
This paper investigates how increasing the common phase shift in nearest-neighbor coupled phase oscillators leads to progressively complex, fractal basin boundaries for twisted states and longer transient stabilization times, conjecturing that these basins eventually become riddled as the system approaches the volume-preserving limit of .