1706 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper extends Kramers' law to bistable systems driven by fast chaotic dynamics rather than unbounded noise, demonstrating through a reduced-order AMOC model that this "chaotic Kramers' law" accurately predicts transition times and offers insights into recent AMOC collapses and recoveries observed in complex climate models.
This paper investigates the time-periodic flow of a thin viscous film on a rotating horizontal cylinder, revealing intricate fractal-like blow-up structures in the amplitude-frequency parameter space and demonstrating how asymptotic analysis in high- and low-frequency limits can delay overturning or construct stable quasi-periodic solutions.
This paper establishes the global regularity of Leray-Hopf weak solutions to the -dimensional Navier-Stokes equations for initial data in with by constructing a novel supercritical space and deriving viscosity-independent energy estimates through a re-scaling argument, thereby implying global solvability for the Euler equations.
This paper mathematically analyzes and confirms the existence of photonic band gaps near the low-dielectric light line in two-dimensional photonic crystal fibres, demonstrating their presence in both one-dimensional and ARROW fibre structures through asymptotic analysis without relying on specific dielectric contrast ratios or wave propagation constraints.
This paper presents a novel nonlinear projection-based model order reduction framework that utilizes Gaussian process regression and radial basis function interpolation to model closure errors in the latent space, offering improved efficiency, interpretability, and data efficiency compared to deep neural network approaches in complex fluid dynamics applications.
This paper establishes that weakly interacting quantum Hamiltonians exhibit uniform-in-temperature exponential decay of correlations and local indistinguishability by employing a low-temperature cluster expansion combined with a quantum probabilistic swapping trick.
This paper demonstrates that every fusion category containing a non-invertible, self-dual object generates a Temperley-Lieb integrable anyonic chain, establishing a connection to Pasquier's ADE lattice models and arguing that these systems are gapped when the object's quantum dimension exceeds 2, while noting that large finite-size effects can complicate numerical analysis for dimensions close to 2.
This paper establishes that in non-critical Bernoulli bond percolation for dimensions , the maximum diameter of finite clusters scales asymptotically as almost surely, where the constant is determined by the exponential decay rate of large cluster probabilities, and further analyzes the asymptotic behavior of the number of vertices in such large-diameter clusters.
This paper introduces two new off-shell indecomposable supersymmetric mechanics models with spin variables derived from nonlinearly deformed scalar superfields, demonstrating that while they differ off-shell, they are equivalent on-shell and describe spin variables in the adjoint representation of the SO(8) R-symmetry group.
This paper establishes the global existence of weak entropy solutions for 1D isentropic gas dynamics with general pressure laws by introducing a "Synchronized Dual Translation" regularization that preserves structural isomorphism with the standard Euler equations, thereby eliminating the restrictive higher-order derivative constraints required by previous flux-modification methods.