Fragility of the glassy state of a directed polymer in random media: a replica approach

Marta Sales; Hajime Yoshino

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arXiv · cond-mat/0112384

Fragility of the glassy state of a directed polymer in random media: a replica approach

Marta Sales·Hajime Yoshino

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Abstract

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.

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Marta Sales, Hajime Yoshino. 2001-12-20. Fragility of the glassy state of a directed polymer in random media: a replica approach. https://arxiv.org/abs/cond-mat/0112384

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