Enslaved Phase-Separation Fronts and Liesegang Pattern Formation  

作　　者：E.M.Foard A.J.Wagner 

机构地区：[1]Department of Physics,North Dakota State University,Fargo,ND 58105,USA

出　　处：《Communications in Computational Physics》2011年第5期1081-1093,共13页计算物理通讯（英文）

基　　金：E.F.acknowledges support by the National Science Foundation under grant DMR-0513393.

摘　　要：We show that an enslaved phase-separation front moving with diffusive speeds U=C/√T can leave alternating domains of increasing size in their wake.We find the size and spacing of these domains is identical to Liesegang patterns.For equal composition of the components we are able to predict the exact form of the pattern analytically.To our knowledge this is the first fully analytical derivation of the Liesegang laws.We also show that there is a critical value for C below which only two domains are formed.Our analytical predictions are verified by numerical simulations using a lattice Boltzmann method.

关 键 词：Liesegang phase separation FRONT reaction diffusion pattern formation lattice Boltzmann Matalon-Packter 

分 类 号：O17[理学—数学]