Skip to content
DraconiticResearch
Search Sources API
186,625 studies31 sourcesUpdated 1 min ago
PreprintarXiv licencearXiv

Small-Time Asymptotic Behavior of the Stochastic Landau--Lifshitz--Baryakhtar Equation

  • Utpal Manna
  • Sangram Satpathi
Open at sourcePDFDOICite

Abstract

We establish a small-time large deviation principle for the stochastic Landau--Lifshitz--Baryakhtar equation using the framework of exponential equivalence. This result characterizes the asymptotic behavior of the solution on very short time scales. In particular, it shows that, as the stochastic thermal fluctuations become small, the magnetization remains exponentially concentrated near its initial state, reflecting the short-time stability of the magnetization dynamics. The associated rate function provides a quantitative measure of deviations from the initial state and the resulting short-time stability.

Versions

Related

  1. The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
    Federico Butori, Foivos Evangelopoulos-Ntemiris, Lorenzo Marino +1
    arXivPreprintCC BY 4.0Full textProbabilityarXiv
  2. Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in ℝd
    Bin Liu, Fan Xu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  3. Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation
    Slim Ibrahim, Christof Melcher, Ikkei Shimizu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Asymptotic stability of a Bloch skyrmion for the Landau-Lifshitz-Gilbert equation
    Jordan Berthoumieu, Raphaël Côte
    HALPreprintCC BY-NC-SA 4.0Full textAnalysis & PDEsHALarXiv
  5. Rate of convergence of a fully discrete structure-preserving midpoint scheme for the stochastic Landau--Lifshitz--Gilbert equation
    Agus L. Soenjaya
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsNumerical analysis & scientific computingarXiv

Cite

BibTeXRIS
BibTeX
@misc{manna2026smalltime,
  title = {{Small-Time Asymptotic Behavior of the Stochastic Landau--Lifshitz--Baryakhtar Equation}},
  author = {Utpal Manna and Sangram Satpathi},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.04654},
  eprint = {2606.04654},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.04654},
}
RIS
TY  - UNPB
TI  - Small-Time Asymptotic Behavior of the Stochastic Landau--Lifshitz--Baryakhtar Equation
AU  - Utpal Manna
AU  - Sangram Satpathi
PY  - 2026
DA  - 2026/06/03
PB  - arXiv
DO  - 10.48550/arxiv.2606.04654
UR  - https://arxiv.org/abs/2606.04654
AB  - We establish a small-time large deviation principle for the stochastic Landau--Lifshitz--Baryakhtar equation using the framework of exponential equivalence. This result characterizes the asymptotic behavior of the solution on very short time scales. In particular, it shows that, as the stochastic thermal fluctuations become small, the magnetization remains exponentially concentrated near its initial state, reflecting the short-time stability of the magnetization dynamics. The associated rate function provides a quantitative measure of deviations from the initial state and the resulting short-time stability.
ER  -