2001/12/20 by Marta Sales‐Pardo, Marta Sales, Sales, Marta +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0112384
5 pages
arxiv created 2001/12/20 · openalex publication_date 2001/12/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the stability of the glassy equilibrium state of a directed polymer in random media against weak perturbations including the intriguing problem of temperature-chaos. The statistical correlation of two real replica systems under perturbations, such as small difference of temperature, is studied using the mapping to a quantum problem of interacting bosons. Explicit replica symmetry breaking takes place being induced by the infinitesimally weak perturbations in the n → 0 limit followed by the thermodynamic limit which leads to complete decorrelation of the two real replicas. The overlap lengths anticipated by phenomenological scaling arguments are retrieved as a correlation length associated with this explicit replica symmetry breaking.