Flory theory of randomly branched polymers

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.

Collapse transition of randomly branched polymers: renormalized field theory.

We present a minimal dynamical model for randomly branched isotropic polymers, and we study this model in the framework of renormalized field theory. For the swollen phase, we show that our model provides a route to understand the well-established dimensional-reduction results from a different angle. For the collapse θ transition, we uncover a hidden Becchi-Rouet-Stora supersymmetry, signaling ...

Renormalized field theory of collapsing directed randomly branched polymers.

We present a dynamical field theory for directed randomly branched polymers and in particular their collapse transition. We develop a phenomenological model in the form of a stochastic response functional that allows us to address several interesting problems such as the scaling behavior of the swollen phase and the collapse transition. For the swollen phase, we find that by choosing model para...

Flory approximation for directed branched polymers and directed percolation

Field theory for ARB2 branched polymers

2014 The statistics of a system of condensed A-B dimers and ARB2 trimers, where only reactions between A and B units are allowed is investigated. This system is described by a field theoretical partition function corresponding to a grand canonical ensemble of ARB2 branched polymers with fugacities controlling dimer, trimer, end point and polymer number. In the absence of repulsive monomer-monom...