Pattern formation driven by nematic ordering of assembling biopolymers

dc.creatorZiebert, Falko
dc.creatorZimmermann, Walter
dc.date2003-04-28
dc.date.accessioned2026-07-07T02:51:02Z
dc.date.available2026-07-07T02:51:02Z
dc.descriptionThe biopolymers actin and microtubules are often in an ongoing assembling/disassembling state far from thermal equilibrium. Above a critical density this leads to spatially periodic patterns, as shown by a scaling argument and in terms of a phenomenological continuum model, that meets also Onsager's statistical theory of the nematic--to--isotropic transition in the absence of reaction kinetics. This pattern forming process depends much on nonlinear effects and a common linear stability analysis of the isotropic distribution of the filaments is often misleading. The wave number of the pattern decreases with the assembling/disassembling rate and there is an uncommon discontinuous transition between the nematic and the periodic state.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0304635
dc.identifierhttp://arxiv.org/abs/cond-mat/0304635
dc.identifierPhys. Rev. E 70, 022902 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.022902
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21309
dc.subjectSoft Condensed Matter
dc.titlePattern formation driven by nematic ordering of assembling biopolymers
dc.typetext

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