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Off-equilibrium dynamics of a (1 + 1)-dimensional directed polymer in random media

1995/10/06 by Hajime Yoshino · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1088/0305-4470/29/7/014

19 pages + uuencoded 15 Postscript figures, REVTex. An error of the sign in equation (15) is corrected

arxiv created 1995/10/06 · openalex publication_date 1996/04/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The relaxational dynamics of a (1 + 1)-dimensional directed polymer in random potential is studied by Monte Carlo simulations. A series of temperature quench experiments is performed changing waiting times . A clear crossover from quasi-equilibrium behaviour to off-equilibrium behaviour appears in the dynamical overlap function whose scaling properties are very similar to those found in the three-dimensional spin-glass model. In the part, the fluctuation dissipation theorem of the first kind which relates the response function to the tilt field with the conjugate correlation function, is found violated. These ageing effects are brought about by the very slow growth of the quasi-equilibrium domain driven by successive loop excitations of various sizes, which form complex network structures.

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