Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-12-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages
Scientific paper
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 $n \to 0$ 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.
Sales Marta
Yoshino Hajime
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