DOI: 10.1063/5.0346305 ISSN: 0022-2488

Small-time asymptotic behavior of the stochastic Landau–Lifshitz–Baryakhtar equation

Utpal Manna, Sangram Satpathi
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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 observation time decreases, 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.

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