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