Self-assembly of multicomponent structures in and out of equilibrium

Details Self-assembly of multicomponent structures in and out of equilibrium Self-assembly of multicomponent structures in and out of equilibrium

2012-04-17

arxiv.org/abs/1204.3932v1

Physics

Condensed Matter

Statistical Mechanics

Supporting information at http://nanotheory.lbl.gov/people/fiber_paper/fiber_supp.pdf

Scientific paper

Theories of phase change and self-assembly often invoke the idea of a `quasiequilibrium', a regime in which the nonequilibrium association of building blocks results nonetheless in a structure whose properties are determined solely by an underlying free energy landscape. Here we study a prototypical example of multicomponent self-assembly, a one-dimensional fiber grown from red and blue blocks. If the equilibrium structure possesses compositional correlations different from those characteristic of random mixing, then it cannot be generated without error at any finite growth rate: there is no quasiequilibrium regime. However, by exploiting dynamic scaling, structures characteristic of equilibrium at one point in phase space can be generated, without error, arbitrarily far from equilibrium. Our results thus suggest a `nonperturbative' strategy for multicomponent self-assembly in which the target structure is, by design, not the equilibrium one.

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