Golovin A A, Nepomnyashchy A A, Davis S H, Zaks M A
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208-3100, USA.
Phys Rev Lett. 2001 Feb 19;86(8):1550-3. doi: 10.1103/PhysRevLett.86.1550.
In this paper we demonstrate that convective Cahn-Hilliard models, describing phase separation of driven systems (e.g., faceting of growing thermodynamically unstable crystal surfaces), exhibit, with the increase of the driving force, a transition from the usual coarsening regime to a chaotic behavior without coarsening via a pattern-forming state characterized by the formation of various stationary and traveling periodic structures as well as structures with localized oscillations. Relation of this phenomenon to a kinetic roughening of thermodynamically unstable surfaces is discussed.
在本文中，我们证明了描述驱动系统相分离（例如，生长的热力学不稳定晶体表面的刻面）的对流Cahn-Hilliard模型，随着驱动力的增加，会经历从通常的粗化状态到无粗化的混沌行为的转变，这一转变通过一种模式形成状态实现，该状态的特征是形成各种静态和行波周期结构以及具有局部振荡的结构。本文还讨论了这一现象与热力学不稳定表面的动力学粗糙化之间的关系。
