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- W2050412413 abstract "To analyze the magnetization-pattern relaxation by the nonlinear dynamical approach, an Ising model in the time-dependent spin system (kinetic Ising model) is extended to a space-dependent spin field. By solving the nonlinear diffusion equation on the spin order parameter derived by this formulation, the space-time evolution of the magnetization pattern can be traced. Specifically, the fifth-order Ginzburg-Landau-type equation in the null applied magnetic field is derived.Two kinds of nontrivial stationary solutions (lump and hole solutions) are presented. The spatial distributions of the stationary solutions are algebraic. Particularly, the lump solution is given as a square root of the Lorentz distribution. From the results of the numerical experiment, it is found that the lump solution is extremely unstable and decays very quickly whereas the hole solution is stable and is not subjected to relaxation. An approximate lump solution for many spatial dimensions is investigated as well." @default.
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- W2050412413 date "1995-12-01" @default.
- W2050412413 modified "2023-10-16" @default.
- W2050412413 title "Extended kinetic ising model and its application to magnetization pattern relaxation" @default.
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- W2050412413 doi "https://doi.org/10.1002/ecjb.4420781204" @default.
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