Pattern formation driven by nematic ordering of assembling biopolymers

Details Pattern formation driven by nematic ordering of assembling biopolymers Pattern formation driven by nematic ordering of assembling biopolymers

2003-04-28

arxiv.org/abs/cond-mat/0304635v1

Phys. Rev. E 70, 022902 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.70.022902

The 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.

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