Perturbation expansion in phase-ordering kinetics. II. N-vector model |
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Authors: | Mazenko |
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Institution: | The James Franck Institute and the Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA. |
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Abstract: | The perturbation theory expansion presented earlier to describe the phase-ordering kinetics in the case of a nonconserved scalar order parameter is generalized to the case of the n-vector model. At lowest order in this expansion, as in the scalar case, one obtains the theory due to Ohta, Jasnow, and Kawasaki (OJK). The second-order corrections for the nonequilibrium exponents are worked out explicitly in d dimensions and as a function of the number of components n of the order parameter. In the formulation developed here the corrections to the OJK results are found to go to zero in the large n and d limits. Indeed, the large-d convergence is exponential. |
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