1997/02/19 by A. Moskalenko, A. M. Moskalenko, Yu. A. Kuznetsov +3 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1051/jp2:1997134
15 pages, 4 Postscript figures
arxiv created 1997/02/19 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This allows us to study collapse, phase separation and freezing transitions within the same mean field theory. The effective free energy of the system is derived analytically and analysed numerically. Such quantities as the radius of gyration or the average value of the overlap between different replicas are treated as observables and evaluated by introducing appropriate external fields to the Hamiltonian. We obtain the phase diagram and show that this system exhibits a scale dependent freezing transition. The correlations between replicas appear at different length scales as the temperature decreases. This indicates the existence of the topological frustration. 1