3190 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 presents a novel non-local kinetic framework combining semi-Markov renewal transport, the generalized Doob's h-transform, and the Feynman-Kac formalism to model the thermodynamics of radiation-induced damage in WWER fuel claddings, revealing how boundary stress singularities drive a distinct sigmoidal degradation trajectory and localized lifespan reduction.
This paper presents a frequency-domain formulation for deriving the complete six-degree-of-freedom rotor-load cross-spectral density matrix from IEC Kaimal turbulence by decoupling spatial coherence from temporal Doppler shifts, a method that demonstrates high accuracy against OpenFAST simulations for frequencies below 1 Hz while slightly over-predicting spectra near rotational harmonics.
This paper establishes the fundamental limits and constructs optimal recovery strategies for quantum information encoded against uncertain coherent rotation noise by utilizing Krylov geometry and polynomial projections to characterize error correctability, leading to exact infidelity bounds and finite-dimensional recovery protocols under various calibration constraints.
This paper analyzes the large-time asymptotics of a free quantum particle on a sparse Erdős-Rényi graph, demonstrating that the wave function evolves into a radial form that dynamically distinguishes between localized bound states near high-degree vertices and dispersive waves, thereby providing a dynamical counterpart to previously established spectral localization phenomena.
This paper demonstrates that exact finite-amplitude acoustic-gravity waves constructed by Godin are linearly unstable above a critical steepness, a threshold that depends on stratification and can vanish due to resonance in isothermal atmospheres, thereby limiting the validity of such solutions to specific shallow layers or wedges.
This paper establishes that the spectra of extended Harper operators in the zero-measure regime possess finite -dimensional Hausdorff measure and a lower box dimension of at most (improving to on the isotropic critical boundary) by utilizing a family of unitary transformations to map these operators to singular Jacobi representatives, thereby enabling the construction of specific interval covers that yield these fractal dimension bounds and demonstrate cases where the box-counting dimension fails to exist.
This paper establishes a multiscale criterion based on the Polchinski flow that proves uniform exponential decay of relative entropy for the underdamped Langevin dynamics of the massive two-dimensional lattice sine-Gordon model, demonstrating that the decay rate is optimal in the mass parameter and independent of lattice spacing and volume.
This paper proves the existence of a weak solution to the Navier-Stokes equations that satisfies the energy equality by taking the limit of solutions to a mollified system, though it does not establish that all Leray-Hopf weak solutions share this property due to the lack of uniqueness results.
This paper investigates the similarities and differences between two types of quasiperiodic functions—those derived from restricting smooth periodic functions to lower-dimensional subspaces and those modeling physical fields in quasicrystals—by employing the Novikov problem to analyze the global geometry of their level sets.
This paper investigates the transport dynamics of the triangle map, demonstrating that while its symbolic process exhibits normal diffusion and Gaussian statistics for generic parameters, it deviates significantly from Bernoulli behavior through parameter-dependent diffusion coefficients, rare sign changes, and resonance-induced trapping mechanisms that alter variance scaling and correlation decay.