Critical dynamics in systems controlled by fractional kinetic equations

Lev Batalov and Anastasia Batalova

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 602-611

Abstract: 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.

Keywords: Fractional Langevin equation; Renormalization group; Critical exponents; Fox’s H function; ε-expansion (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:602-611

DOI: 10.1016/j.physa.2012.10.017

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