We analyze in mean-field approximation the liquid–liquid interfacial properties of a micellar solution model designed to describe amphiphiles in polar solvents. Under specific conditions the amphiphile concentration profiles become non-monotonous and entail enhanced interfacial adsorption. We...

We examine both the dynamical and the multifractal properties at the chaos threshold of logistic maps with general nonlinearity z1. First we determine analytically the sensitivity to initial conditions ξt. Then we consider a renormalization group operation on the partition function Z of the...

We examine the pitchfork and tangent bifurcations in unimodal maps to illustrate a connection between renormalization group (RG) fixed points and entropy extremal properties. We observe that the exact RG solution for the tangent bifurcation is also applicable to the period-doubling cascade and...