On the presence of loops in linear self-assembling systems. Statistical methods and Brownian dynamics

Abstract

In this note we present i) a microscopic model for the self-assembly of linear wormlike micelles for which loop formation is allowed, and ii) an analytical mesoscopic description of such systems. Both approaches predict the extent of loop formation under different conditions. As a matter of fact, even if loop formation is unfavorable under certain conditions, e.g., for stiff micelles and low end cap energies, they have to be treated correctly in any statistical approach to their behavior, since their presence can significantly affect the relaxation time spectrum, the rheological behavior and correlation function of various type.