Directed polymer in random media, in two dimensions: numerical study of the aging dynamics

Abstract

Following a recent work by Yoshino, we study the aging dynamics of a directed polymer in random media, in 1+1 dimensions. Through temperature quench, and temperature cycling numerical experiments similar to the experiments on real spin glasses, we show that the observed behaviour is comparable to the one of a well known mean field spin glass model. The observation of various quantities (correlation function, ``clonation'' overlap function) leads to an analysis of the phase space landscape.

12 pages, LaTeX, 8 postscript figures; accepted for publication in Phys. Rev. E

Cited by in corpus (18)

• Computer Simulations of Supercooled Liquids and Glasses
• Non-equilibrium relaxation of an elastic string in a random potential
• Growing correlations and aging of an elastic line in a random potential
• Short time relaxation of a driven elastic string in a random medium
• Aging in a Model of Self-Organized Criticality
• Super-Aging in two-dimensional random ferromagnets
• Aging Dynamics of an Elastic String Diffusing in a Disordered Media
• Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
• Eigenvalue method to compute the largest relaxation time of disordered systems
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
• Relaxation dynamics of an elastic string in random media
• Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
• Dynamic fluctuations of elastic lines in random environments
• Non-equilibrium dynamics of polymers and interfaces in random media : conjecture $\psi =d_s/2$ for the barrier exponent
• Energy landscapes in random systems, driven interfaces and wetting
• Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times