Glassy Phase and Thermodynamic Behavior Of Random Vortex Arrays in 1+1 Dimensions
Abstract
In a previous theoretical work, Kardar and Emig studied the problem of a 1+1 dimensional array of fluxlines with quenched disorder using replica Bethe Ansatz (RBA). In particular, analytic solutions were only obtained in the strong disorder limit. Here we carry out extensive finite-temperature simulations of a dimer model on a square lattice of size up to one million sites by using a new Monte Carlo method that overcomes the difficulty of glassy slowing down in disordered systems. This enables us to compute accurately thermodynamical quantities including free energy cumulants and heat capacity. Furthermore, by mapping this dimer model onto an array of fluxlines we can affirm that the temperature behavior of the glass phase is in excellent agreement with the theoretical RBA predictions. Finally, we discuss these results by investigating the low-lying excitations within the framework of the droplet theory.
- Publication:
-
APS March Meeting Abstracts
- Pub Date:
- March 2003
- Bibcode:
- 2003APS..MARY32007T