Linear response of self assembling systems: mean field solution

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Abstract
We study the linear response of “living” systems, which break and recombine randomly. The mean field approximation gives an analytical solution for the time evolution of the response. As an example, the viscosity of living polymers is computed. New scaling laws for viscosity are found in the case of very short lifetimes. The laws do not depend in an obvious way on the exponent of the chain relaxation time with respect to its length. The critical behaviour is confirmed by an exact calculation in the limit of very short lifetimes

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