Anomalous relaxation in the XY gauge glass
نویسندگان
چکیده
To study relaxation dynamics of the two-dimensional XY gauge glass, we integrate directly the equations of motion and investigate the energy function. As usual, it decays exponentially at high temperatures; at low but nonzero temperatures, it is found to exhibit an algebraic relaxation. We compute the relaxation time t as a function of the temperature T and find that the rapid increase of t at low temperatures is well described by t;(T2Tg) 2b with Tg50.2260.02 and b50.7660.05, which strongly suggests a finite-temperature glass transition. The decay of vorticity is also examined and explained in terms of a simple heuristic model, which attributes the fast relaxation at high temperatures to annihilation of unpinned vortices. @S0163-1829~97!00334-2#
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