Equivalence of quenched and annealed averaging in models of disordered polymers

TL;DR

This paper proves that quenched and annealed disorder have equivalent effects on the scaling properties of long flexible polymers using field theory analysis, highlighting symmetry aspects in the polymer limit.

Contribution

It demonstrates the equivalence of quenched and annealed disorder effects in polymer models through field theory in the m→0 limit, revealing symmetry properties.

Findings

Quenched and annealed disorder influence on polymers are equivalent in scaling.

Symmetry properties of the model are analyzed in the polymer limit.

Theoretical proof using O(m)-symmetric field theory.

Abstract

Equivalence of the influence of quenched and annealed disorder on scaling properties of long flexible polymer chains is proved by analyzing the O(m)-symmetric field theory in polymer (de Gennes) limit m \to 0. Additional symmetry properties of the model in this limit are discussed.