Numerical analysis of phase transitions in a random copolymer

We apply a replica variational approach to investigate the equilibrium properties of a random amphiphilic copolymer as a model for protein folding. We discuss the properties of replica symmetric and replica symmetry-broken solutions in the glassy phase. We show that the freezing transition has a scale dependence due to the connectivity of the copolymer chain. This reflects the existence of connectivity-induced frustration, which is the simplest case of the more general class of topology-induced frustration.