Presentation 1993/5/21
Pattern formation in solidification
Ryo Kobayashi,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) Dendritic crystal growth is one of the most typical phenomena of the spontaneous pattern formation in nature.In order to understand such phenomena in macroscopic level,the mathematical model called phase field model is presented.The model is written by the system of reaction diffusion systems.It includes thermodynamical driving force,surface tension and anisotropy as local dynamics,which are coupled with diffusion field.It will be shown that the model can simulate the formation of various dendritic crystals.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Melt Growth / Supercooling / Surface Tension / Anisotropy / Phase Field Model
Paper # NLP93-7
Date of Issue

Conference Information
Committee NLP
Conference Date 1993/5/21(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Vice Chair

Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Pattern formation in solidification
Sub Title (in English)
Keyword(1) Melt Growth
Keyword(2) Supercooling
Keyword(3) Surface Tension
Keyword(4) Anisotropy
Keyword(5) Phase Field Model
1st Author's Name Ryo Kobayashi
1st Author's Affiliation Department of Applied Mathematics and Informatics,Ryukoku University()
Date 1993/5/21
Paper # NLP93-7
Volume (vol) vol.93
Number (no) 58
Page pp.pp.-
#Pages 6
Date of Issue