🔢 mathematics
Superfluid helium
This paper presents a mathematically solvable toy model to describe the phase transition between normal and superfluid helium-4, demonstrating how to derive an order parameter for the superfluid state.
🔢 Category
math-ph
2548 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.
🔢 mathematics
Multiphysics tritium transport modelling of the ARC breeding blanket with FESTIM
This paper presents a fully open-source, component-scale multiphysics framework coupling OpenMC, OpenFOAM, and FESTIM to model tritium transport in an ARC liquid immersion blanket, revealing that turbulence-enhanced diffusion dominates transport dynamics and predicting a steady-state inventory of approximately 243 mg.
🔢 mathematics
On the synthesis of complete two-dimensional second-gradient continua: Tri-pantographic fabrics
This paper introduces the concept of completeness for two-dimensional second-gradient elastic continua and demonstrates that while classical and bi-pantographic fabrics are incomplete, a newly proposed tri-pantographic architecture successfully synthesizes a complete continuum with positive definite energy control over all second-gradient increments.
🔢 mathematics
A priori error estimator for reduced-order models based on the higher-order Craig-Bampton method in dynamic substructuring
This paper introduces a hierarchical a priori error estimation framework for the higher-order Craig-Bampton method in dynamic substructuring, utilizing nested Ritz subspaces and Rayleigh quotient perturbation analysis to predict eigenvalue errors without requiring full-order solutions.
🔢 mathematics
Finite Quantum Histories: Holonomy Spectra, Minimal Clocks, and Exact Clock-Change Covariance
This paper establishes a comprehensive framework for finite-dimensional quantum histories by deriving exact spectral solutions for cyclic unitary steps via monodromy invariants, defining predictive quotients for sharp finite clocks with proven error bounds, and characterizing the conditions under which clock changes preserve exact covariance versus irreversible coarse-graining.
🔢 mathematics
Quantum One-Way Functions and Related Cryptographic Primitives
This paper reviews the landscape of quantum one-way functions and related cryptographic primitives, clarifying their conceptual relationships, security assumptions, and physical realizability while outlining future directions for building a broader quantum-cryptographic ecosystem beyond key distribution.
🌀 nonlinear sciences
Integrable curl-force Hamiltonians: bi-Hamiltonian structure, separability, and periodic orbits
This paper demonstrates that Berry's polynomial curl-force model fails the Painlevé integrability test, while introducing a new four-parameter family of integrable curl-force Hamiltonians that possess bi-Hamiltonian structures, separability, and Lax representations, ultimately showing that the mere existence of closed trajectories does not guarantee Liouville or Painlevé integrability.
⚛️ high-energy theory
Scalar Hair at the String-Black-Hole Correspondence
This paper characterizes the full family of static, spherically symmetric axion-dilaton solutions in four-dimensional string theory as orbits of the FJNW solution and demonstrates that, unlike the Schwarzschild black hole which saturates the curvature threshold at the string-black-hole correspondence surface, all scalar-haired branches exhibit larger curvature diagnostics, though they may still remain under perturbative control in the weak-coupling regime.
🌀 nonlinear sciences
The Structure of Spreading on Temporal Networks
This paper establishes a theoretical and computational framework that maps spreading dynamics on temporal networks to reachability in temporal event graphs, enabling the derivation of epidemic thresholds and prevalence for complex processes like the SIS model without the need for explicit simulations.
🔬 applied physics
Is Szilard Engine Really Broken?
This paper challenges recent claims that the Szilard engine is non-functional by applying the van der Waals surface energy principle to demonstrate that the engine can indeed operate effectively under defined conditions with a simplified piston.