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The effects of the length of each hydrophobic end block N_{st} and polymerconcentration \bar{\phi}_{P} on the transition broadness in amphiphilic ABAsymmetric triblock copolymer solutions are studied using the self-consistentfield lattice model. When the system is cooled, micelles are observed, i.e.,thehomogenous solution (unimer)-micelle transition occurs. When N_{st} isincreased, at fixed \bar{\phi}_{P}, micelles occur at higher temperature, andthe temperature-dependent range of micellar aggregation and half-width ofspecific heat peak for unimer-micelle transition increase monotonously.Compared with associative polymers, it is found that the magnitude of thetransition broadness is determined by the ratio of hydrophobic to hydrophilicblocks, instead of chain length. When \bar{\phi}_{P} is decreased, given alarge N_{st}, the temperature-dependent range of micellar aggregation andhalf-width of specific heat peak initially decease, and then remain nearlyconstant. It is shown that the transition broadness is concerned with thechanges of the relative magnitudes of the eductions of nonstickers and solventsfrom micellar cores.

condensed matter physics

Effect of polymer concentration and length of hydrophobic end block on  the unimer-micelle transition broadness in amphiphilic ABA symmetric triblock  copolymer solutions