Abstract
We apply the real space dynamic renormalization group method to the one-dimensional spin-exchange kinetic Ising model. We show that the conservation of magnetization property of this model is preserved directly under renormalization. We also demonstrate that one can derive recursion relations for the space-and time-dependent correlation functions and that the iterated solutions of these recursion relations lead to the appropriate hydrodynamic forms in the small-wavenumber and -frequency regime.
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Mazenko, G.F., O¯guz, E. Application of the real space dynamic renormalization group method to the one-dimensional spin-exchange model. J Stat Phys 28, 497–520 (1982). https://doi.org/10.1007/BF01008321
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DOI: https://doi.org/10.1007/BF01008321