2377 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 derives exact analytical expressions for the spatial and orientational distributions of interacting active Brownian and run-and-tumble particles to demonstrate that while both models form ring-like structures, their underlying propulsion mechanisms lead to qualitatively distinct organizational signatures in the strongly active regime.
This paper establishes a sharp occupation-condensation transition in a sublinearly vertex-reinforced random walk on regular trees, where increasing reinforcement strength causes the walk's time distribution to concentrate on a single vertex while its spatial range continues to grow logarithmically, with the critical threshold scaling linearly with the tree's branching number.
This paper proposes a dynamic truncation model based on maximum-entropy principles to analyze adverse selection, revealing how quality variance and payment rates jointly determine market deterioration and identifying specific mechanisms—such as raising payment rates or reducing variance—that can prevent markets from collapsing to their minimum quality floor.
This paper demonstrates that ultracold bosonic atoms in optical cavities can realize a unique 1D quasicrystal scenario where a mechanism gaps out one Goldstone mode while leaving the other gapless, resulting in the coexistence of long-range and quasi-long-range spatial order.
This paper employs machine learning to demonstrate that while Krylov observables like spread complexity and Wigner negativity can effectively classify symmetry classes and estimate thermofield temperatures, the normalized negativity uniquely captures the informational surplus of chaos by resolving spectral degeneracies and distinguishing second-moment dynamics from fine-grained spectral form factor features.
This paper derives Richards' equation for unsaturated soil water flow as a first-order Chapman-Enskog reduction of a continuum kinetic equation, establishing its macroscopic parameters like conductivity from pore-scale dynamics and providing a rigorous first-principles foundation for dual-permeability models.
This paper demonstrates that the mechanical properties of jammed elastic packings, ranging from disordered to nearly crystalline structures, are universally governed by jamming criticality and self-organizing principles, revealing a fundamental decoupling between jamming physics and the glass transition.
This paper employs a Schwinger-Dyson framework to demonstrate that the Kuramoto-Sivashinsky equation inherently requires a negative effective viscosity to sustain stable large-scale scaling in the infrared limit, establishing this as a general property independent of specific renormalization group truncations or numerical limitations.
This paper utilizes semi-classical techniques to derive explicit expressions for the universal late-time spatial and momentum profiles of a large number of non-interacting fermions expanding ballistically from an isotropic trap, revealing a generalized edge exponent of that extends the Wigner semi-circle and Thomas-Fermi laws to arbitrary power-law potentials and dimensions.
This paper demonstrates that the fuzzy sphere regularization scheme successfully captures the universal real-time quantum dynamics of the 2D transverse-field Ising model, confirming Kibble-Zurek scaling for the order parameter and correlation length at intermediate quench rates while revealing finite-size limitations for excitation energy density, thereby establishing a robust pathway for studying real-time critical dynamics in strongly coupled (2+1)d conformal field theories.