Abstract
We use variational techniques to construct upper and lower bounds for the dynamical exponentz of kinetic Ising models. The most important universality class is shown to havez=2. We find larger values ofz, however, for continuous sets of both pure single-spin-flip and double-spin-flip models. For pure double-spin flips with order parameter conservation we findz≧5; this bound is consistent with a corresponding transport coefficient which vanishes at the zero-temperature critical point.
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If β=μ we would have to takew 1,w 2, c, and d as free; the argument to follow would go through unchanged
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Haake, F., Thol, K. Universality classes for one dimensional kinetic Ising models. Z. Physik B - Condensed Matter 40, 219–226 (1980). https://doi.org/10.1007/BF01294531
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DOI: https://doi.org/10.1007/BF01294531