On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties |
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Authors: | Hans-Karl Janssen |
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Affiliation: | (1) Kernforschungsanlage Jülich, Institut für Festkörperforschung, Postfach 1913, D-5170 Jülich, Federal Republic of Germany |
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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 is derived aboveTc for all dimensionsd>2. |
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