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On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties
Authors:Hans-Karl Janssen
Affiliation:(1) Kernforschungsanlage Jülich, Institut für Festkörperforschung, Postfach 1913, D-5170 Jülich, Federal Republic of Germany
Abstract:From the path probability density for nonlinear stochastic processes a Lagrangean for classical field dynamics is derived. This formulation provides a convenient approach to the mode coupling equations and the renormalization group theory of critical dynamics. An application is given for the time-dependent isotropic Heisenberg ferromagnet. The dynamical exponent
$$z = frac{{d + 2 - eta }}{2}$$
is derived aboveTc for all dimensionsd>2.
Keywords:
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