Coarse Brownian Dynamics for Nematic Liquid Crystals: Bifurcation Diagrams via Stochastic Simulation

Siettos, C; Graham, M; Kevrekidis, I

dc.contributor.author	Siettos, C	en
dc.contributor.author	Graham, M	en
dc.contributor.author	Kevrekidis, I	en
dc.date.accessioned	2014-03-01T01:51:29Z
dc.date.available	2014-03-01T01:51:29Z
dc.date.issued	2002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26321
dc.subject	Bifurcation Analysis	en
dc.subject	Bifurcation Diagram	en
dc.subject	brownian dynamics	en
dc.subject	Controller Design	en
dc.subject	Liquid Crystalline Polymer	en
dc.subject	Nematic Liquid Crystal	en
dc.subject	Stochastic Differential Equation	en
dc.subject	Stochastic Simulation	en
dc.subject	Time Integration	en
dc.title	Coarse Brownian Dynamics for Nematic Liquid Crystals: Bifurcation Diagrams via Stochastic Simulation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1063/1.1572456	en
heal.identifier.secondary	http://dx.doi.org/10.1063/1.1572456	en
heal.publicationDate	2002	en
heal.abstract	We demonstrate how time-integration of stochastic differential equations(i.e. Brownian dynamics simulations) can be combined with continuum numericalbifurcation analysis techniques to analyze the dynamics of liquid crystallinepolymers (LCPs). Sidestepping the necessity of obtaining explicit closures, theapproach analyzes the (unavailable in closed form) coarse macroscopicequations, estimating the necessary quantities through appropriatelyinitialized, short bursts of Brownian dynamics	en
dc.identifier.doi	10.1063/1.1572456	en