Numerical test of the generalized Flory and generalized Flory dimer theories

Flory exponents for generalized polymer problems

FLORY THEORY REVISITED by

The Flory theory for a single polymer chain is derived as the lowest order of a cumulant expansion. In this approach, the full original Flory free energy (including the logarithmic term), is recovered. The prefactors of the elastic and repulsive energy are calculated from the microscopic parameters. The method can be applied to other types of monomer-monomer interactions, and the case of a sing...

Flory theory for polymers.

We review various simple analytical theories for homopolymers within a unified framework. The common guideline of our approach is the Flory theory, and its various avatars, with the attempt at being reasonably self-contained. We expect this review to be useful as an introduction to the topic at the graduate student level.

Flory exponents from a self-consistent renormalization group

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...

Conformal field theory of the Flory model of polymer melting.

We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter family of conformal field theories, which we characterize via its Coulomb-gas representation. One choice for two of the three parameters reproduces the critical line of the exactly solvable six-vertex model, while ano...