Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-02-08
Phys. Rev. B 66, 14438 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
9 pages, 13 figures, final published version
Scientific paper
10.1103/PhysRevB.66.014438
We study the dynamics of the q-state random bond Potts ferromagnet on the square lattice at its critical point by Monte Carlo simulations with single spin-flip dynamics. We concentrate on q=3 and q=24 and find, in both cases, conventional, rather than activated, dynamics. We also look at the distribution of relaxation times among different samples, finding different results for the two q values. For q=3 the relative variance of the relaxation time tau at the critical point is finite. However, for q=24 this appears to diverge in the thermodynamic limit and it is ln(tau) which has a finite relative variance. We speculate that this difference occurs because the transition of the corresponding pure system is second order for q=3 but first order for q=24.
Deroulers Christophe
Young Patrick A.
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