Critical dynamics in systems controlled by fractional kinetic equations
The field theory renormalization group is used for analyzing the fractional Langevin equation with the order of the temporal derivative 0<α<1, fractional Laplacian of the order σ, and Gaussian noise correlator. The case of non-linearity φm with odd m≥3 is considered. It is proved that the model is multiplicatively renormalizable. Propagators were found in the momentum and coordinate representation, expressed in terms of Fox’s H functions.
Year of publication: |
2013
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Authors: | Batalov, Lev ; Batalova, Anastasia |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 4, p. 602-611
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Publisher: |
Elsevier |
Subject: | Fractional Langevin equation | Renormalization group | Critical exponents | Fox’s H function | ε-expansion |
Saved in:
Online Resource
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