Universal Dynamics of Independent Critical Relaxation Modes

Details Universal Dynamics of Independent Critical Relaxation Modes Universal Dynamics of Independent Critical Relaxation Modes

1997-08-07

arxiv.org/abs/cond-mat/9708063v2

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevLett.80.1007

Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme is developed to optimize variational approximants of progressively rapid, independent relaxation modes. These approximants are used to reduce the variance of results obtained by means of an adaptation of a quantum Monte Carlo method to compute eigenvalues subject to errors predominantly of statistical nature. The resulting spectra and correlation times are found to be universal up to a single, non-universal time scale for each model.

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