Memoirs of the Faculty of Engineering, Yamaguchi University
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Memoirs of the Faculty of Engineering, Yamaguchi University Volume 50 Issue 1
published_at 1999-10
On the mathmatical modeling of order-disorder transition by stochastic partial differential equations
秩序・無秩序転移の確率偏微分方程式によるモデル化について
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Descriptions
The purpose of this paper is to construct the mathematical model of order-disorder transitions with the radom noise. First, the mathematical model of the order-disorder transition is derived in the form of the nonlinear stochastic partial differential equation with the help of Ginzburg-Landau free energy. Secondly, the existence theorem of the unique solution of the system equation is established by using the nonlinear functional analysis. Finally, the behavior of the order-disorder transition is analized through the simulation experments.
Creator Keywords
order-disorder transition
stochastic partial differential equations
Ginzburg-Landau free energy
Other Article
PP. 45 - 51
PP. 71 - 76