The wandering exponent u for an isotropic polymer is predicted remarkably well by a simple argument due to Flory. By considering oriented polymers living in a oneparameter farniy of background tangent fields, we are able to relate the wandering exponent to the exponent in the background field through an e-expansion. We then choose the background field to have the same correlations as the indivi...

The Flory-Stockmayer theory for the polycondensation of branched polymers, modified for finite systems beyond the gel point, is applied to the connection (synapses) of neurons, which can be considered highly branched "monomeric" units. Initially, the process is a linear growth and tree-like branching between dendrites and axons of nonself-neurons. After the gel point and at the maximum "tree" s...

An optimization-based procedure for estimating unknown parameters in solution-diffusion models of membrane pervaporation is presented. Permeation of two components through a polymer membrane is described by distinct solution and diffusion models. The solution model is based on a modified form of Flory-Huggins theory that accounts for interactions between the two penetrants. The diffusion model ...

Although Flory's approximation describes very well the radius r of a polymer, it disagrees sharply with an exact e expansion (derived from an analogy to n = 0 spins). Here the polymer is described explicitly qs a critical cluster of n = 0 spins. While ordinary clusters resemble trees bifurcating into b branches, a cluster of n = 0 spins constitutes a single line, weighted by b phantom bifurcati...

Mixtures containing compounds that undergo hydrogen bonding show large deviations from ideal behavior. These deviations can be accounted for through chemical theory, according to which the formation of a hydrogen bond can be treated as a chemical reaction. This chemical equilibrium needs to be taken into account when applying stability criteria and carrying out phase equilibrium calculations. I...

Abstract The description of gel swelling by Flory and Rehner using the original Flory–Huggins interaction parameter for polymer–solvent cannot be applied to most smart microgels. Here, we compare descriptions curves such microgels series expansions $$\chi$$ ? with results Hill-like equation . We study N -isop...