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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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3 results for “micromagnetics”

Physics aware machine learning for micromagnetic energy minimization: recent algorithmic developmentsphysics.comp-ph

This work develops machine learning for micromagnetic energy minimization.

problem Minimizing Gibbs free energy in full 3D micromagnetic simulations.

method Advanced machine learning techniques, including Physics-Informed Neural Networks (PINNs) and Extreme Learning Machines (ELMs), with reformulated bounds and optimization schemes.

result Competitive performance of machine learning methods compared to traditional numerical approaches.

machine learning micromagnetics energy minimization Physics-Informed Neural Networks Extreme Learning Machines

2024-09-19abs ↗pdf ↗

Global Weak Solutions to Landau-Lifshitz Equations into Compact Lie Algebrasmath.DG

In this paper, we consider a parabolic system from a bounded domain in a Euclidean space or a closed Riemannian manifold into a unit sphere in a compact Lie algebra $\mathfrak{g}$ , which can be viewed as the extension of Landau-Lifshtiz (LL) equation and was proposed by V. Arnold. We follow the ideas taken from the wor…

2018-02-01abs ↗pdf ↗

Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifoldsmath.AP

We study a variational Ginzburg-Landau type model depending on a small parameter $\varepsilon>0$ for (tangent) vector fields on a $2$ -dimensional Riemannian manifold $S$ . As $\varepsilon\to 0$ , these vector fields tend to have unit length so they generate singular points, called vortices, of a (non-zero) index if the g…

2019-10-07abs ↗pdf ↗