Vanishing Gilbert damping limit problem of Landau–Lifshitz–Gilbert equation
Vanishing Gilbert damping limit problem of Landau–Lifshitz–Gilbert equation
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DOI：
10.1002/zamm.202100136
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Ganshan Yang
中科院分区：
文献类型：
--
作者：
Wenjing Song;Ganshan Yang
The vanishing Gilbert damping limit problem of the Landau–Lifshitz–Gilbert.(LLG) equation has been an open problem for a long time, and even the explicit.dynamic solution of LLGequation has not been seen so far. In this paper, a necessary.and sufficient condition for a solution of Landau–Lifshitz (LL) equation to.be generalized to a solution of LLG equation is given. Moreover, some explicit dynamic solutions of LLG equation are constructed. These solutions show that a solution of LLG equation with Gilbert damping does not necessarily tend to a solution of LL equation without Gilbert damping in the sense ofmaximum odulus.
