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	FINDING TRANSITION PATHWAYS ON MANIFOLDS
	Li, Tiejun ; Li, Xiaoguang ; Zhou, Xiang
	2016
关键词	rare event large deviation optimal transition pathways constrained stochastic dynamics MINIMUM ACTION METHOD CAHN-HILLIARD DYNAMICS LARGE DEVIATIONS DIFFUSIONS NUCLEATION FORCE SPACE
英文摘要	When a randomly perturbed dynamical system is subject to some constraints, the trajectories of the system and the noise-induced most probable transition pathways are restricted on the manifold associated with the given constraints. We present a constrained minimum action method to compute the optimal transition pathways on manifolds. By formulating the constrained stochastic dynamics in a Stratonovich stochastic differential equation of the projection form, we consider the system as embedded in the Euclidean space and present the Freidlin-Wentzell action functional via large deviation theory. We then reformulate it as a minimization problem in the space of curves through Maupertuis principle. Furthermore we show that the action functionals are intrinsically defined on the manifold. The constrained minimum action method is proposed to compute the minimum action path with the assistance of the constrained optimization scheme. The examples of conformational transition paths for both single and double rod molecules in polymeric fluid are numerically investigated.; NSFC [11421101, 11171009, 91130005]; National Science Foundation [11222114]; Hong Kong GRF [109113, 11304314, 11304715]; SCI(E); EI; ARTICLE; tieli@pku.edu.cn; lxg1023@pku.edu.cn; xiang.zhou@cityu.edu.hk; 1; 173-206; 14
语种	英语
出处	EI ; SCI
出版者	MULTISCALE MODELING & SIMULATION
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/437994]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Tiejun,Li, Xiaoguang,Zhou, Xiang. FINDING TRANSITION PATHWAYS ON MANIFOLDS. 2016-01-01.

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