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On the mathmatical modeling of order-disorder transition by stochastic partial differential equations

Memoirs of the Faculty of Engineering, Yamaguchi University Volume 50 Issue 1 Page 45-51
published_at 1999-10
A030050000107.pdf
[fulltext] 547 KB
Title
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
On the mathmatical modeling of order-disorder transition by stochastic partial differential equations
Creators Yamamoto Ryoji
Creators Nakatsuru Takeshi
Creators Miyajima Keiichi
Creators Ishikawa Masaaki
Source Identifiers
Creator Keywords
order-disorder transition stochastic partial differential equations Ginzburg-Landau free energy
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.
Subjects
工学 ( Other)
Languages jpn
Resource Type departmental bulletin paper
Publishers 山口大学工学部
Date Issued 1999-10
File Version Version of Record
Access Rights open access
Relations
[ISSN]1345-5583
[NCID]AA11422756
[isVersionOf] [URI]http://memoirs.lib-e.yamaguchi-u.ac.jp/
Schools 工学部