Comparing open and closed molecular self-assembly
Abstract
We study theoretically in the present work the self-assembly of molecules in an open system, which is fed by monomers and depleted in partial or complete clusters. Such a scenario is likely to occur for example in the context of viral self-assembly. We provide a general formula for the mean-field size distribution which is valid both at equilibrium in a closed system, and in the stationary state in an open system. This allows us to explore in a simple way out-of-equilibrium features for self-assembly and compare them to equilibrium properties. In particular, we identify a region of parameter space for which the out-of-equilibrium size distribution in the presence of external fluxes is equal to the equilibrium size distribution in the absence of external fluxes, up to a constant renormalization factor. The range of validity of this result and its consequences are discussed.
Cite
@article{arxiv.1402.3899,
title = {Comparing open and closed molecular self-assembly},
author = {Martin Castelnovo and Timothée Verdier and Lionel Foret},
journal= {arXiv preprint arXiv:1402.3899},
year = {2014}
}
Comments
PACS 81.16.Fg - Supramolecular and biochemical assembly PACS 82.39.-k - Chemical kinetics in biological systems PACS 05.65.+b - Self-organized systems