Coarsening Kinetics of a Two Phase Mixture with Highly Disparate Diffusion Mobility  

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作  者:G.Sheng T.Wang Q.Du K.G.Wang Z.K.Liu L.Q.Chen 

机构地区:[1]Department of Materials Science and Engineering,Pennsylvania State University,University Park,PA 16802,USA [2]Department of Materials Science and Engineering,Iowa State University,Ames,IA 50011,USA [3]Department of Mathematics,Pennsylvania State University,University Park,PA 16802,USA [4]Physics and Space Science Department,Materials Science&Nanotechnology Institute,Florida Institute of Technology,Melbourne,FL 32901,USA

出  处:《Communications in Computational Physics》2010年第7期249-264,共16页计算物理通讯(英文)

基  金:the financial supports from the National Science Foundation under the grant number DMR-0710483(Chen);NSF-DMS 0712744(Du);DMR-0510180(Liu);DMR-0710484(K.G.Wang).

摘  要:The coarsening kinetics of a two-phase mixture with a large diffusional mobility disparity between the two phases is studied using a variable-mobility Cahn Hilliard equation.The semi-implicit spectral numerical technique was employed,and a number of interpolation functions are considered for describing the change in diffusion mobility across the interface boundary from one phase to another.The coarsening rate of domain size was measured using both structure and pair correlation functions as well as the direct computation of particle sizes in real space for the case that the coarsening phase consists of dispersed particles.We discovered that the average size(R)versus time(t)follows the R^(10/3)∝t law,in contrast to the conventional LSW theory,R^(3)∝t,and the interface-diffusion dominated two-phase coarsening,R^(4)∝t.

关 键 词:Coarsening kinetics Cahn-Hilliard equation phase-field method computer simulation 

分 类 号:TG1[金属学及工艺—金属学]

 

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