Contrast enhancement in multicomponent polymer systems

Statistics of Multicomponent Polymer Stars

We analyze a polymer network made of chemically diierent polymer species. Considering the star-like vertices constituting it in order to describe their scaling properties we introduce a new set of critical exponents. In the case of network made of two species of polymers we call them copolymer star exponents. By means of mapping our theory on appropriate Lagrangean eld theory we calculate these...

Corrections to scaling in multicomponent polymer solutions.

We calculate the correction-to-scaling exponent omegaT that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of omegaT in a system of interacting self-avoiding walks gives omegaT=0.415+/-0.020. A field-theory analysis based on five- and six-loop perturbative series leads to omegaT=0.41+/-0.04. We also verify the renormalizat...

[Contrast enhancement].

Contrast Enhancement at Borders Spatial Contrast Enhancement at Borders

meanings, we use context to select the meaning intended by the speaker. But context is involved at an even earlier level in speech perception because it allows us to recognize sounds as words. We perceive spoken words as a sequence of vowel and consonant sounds, that is, as a sequence of phonemes. Perceptually, each phoneme seems fixed, but acoustically, a phoneme can vary considerably dependin...

Phase Transitions in Multicomponent Systems

Consider a system with n components (different types of molecules) with r phases in equilibrium. The state of each phase is defined by P, T and then (n− 1) concentration variables in each phase. The phase equilibrium at given P, T is defined by the equality of n chemical potentials between the r phases. Thus there are n(r − 1) constraints on (n− 1)r + 2 variables. This gives the Gibbs phase rul...