Abstract
An anomalous variation of critical indices has recently been observed in a homologous series of micellar binary solutions. Examination of existing theories of micellar structure shows that a generalization of the Ising model is needed to describe correctly the critical behavior in micellar solutions. It implies the existence of a term that is marginal under renormalization-group transformations. Modified Migdal-Kadanoff recursion relations for this model exhibit a nonuniversal line of fixed points, in qualitative agreement with the experimental behavior.
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