Power-law temperature dependence of thermally excited transport in one-dimensional systems from Monte Carlo simulation

2011 ◽  
Vol 83 (3) ◽  
pp. 369-373 ◽  
Author(s):  
J. Cao ◽  
S. J. Xiong
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Temperature Dependence ◽  
Power Law ◽  
One Dimensional

scholarly journals MULTICANONICAL SPIN GLASS SIMULATIONS

1992 ◽  
Vol 03 (06) ◽  
pp. 1251-1274 ◽  
Author(s):  
BERND A. BERG ◽  
TARIK CELIK
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Lower Bound ◽  
Temperature Dependence ◽  
Spin Glass ◽  
Power Law ◽  
Spin Glasses ◽  
Spin Glass Model ◽  
Glass Model ◽  
Quantities Of Interest

We report a Monte Carlo simulation of the 2D Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size L2 up to L=48 are investigated. Once a true groundstate is found, we are able to give a lower bound on the number of statistically independent groundstates sampled. Temperature dependence of the energy, entropy and other quantities of interest are easily calculable. In particular we report the groundstate results. Our data indicate that the large L increase of the ergodicity time is reduced to an approximately V3 power law. Altogether the results suggest that the multicanonical ensemble improves the situation of simulations for spin glasses and other systems which have to cope with similar problems of conflicting constraints.

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