Equivalence of quenched and annealed averaging in models of disordered polymers

2013/07/31 by V. Blavatska, V Blavatska
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Annealing (glass) #Equivalence (formal languages) #Limit (mathematics) #Material Dynamics and Properties #Polymer #Scaling #Scaling limit #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.soft

paper · pdf · doi:10.1088/0953-8984/25/50/505101

published as J. Phys.: Condens. Matter 25, 505101 (2013)

arxiv created 2013/10/03 · openalex publication_date 2013/11/12 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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

Citations

• Polymers in long-range-correlated disorder
• The Influence of Macromolecular Crowding and Macromolecular Confinement on Biochemical Reactions in Physiological Media
• Effect of random defects on the critical behaviour of Ising models
• Macromolecular Crowding and Confinement: Biochemical, Biophysical, and Potential Physiological Consequences
• Walking on fractals: diffusion and self-avoiding walks on percolation clusters