Real Space Renormalization Group for Langevin Dynamics in Absence of Translational Invariance
Achille Giacometti, Amos Maritan, Flavio Toigo, Jayanth R. Banavar
Abstract
A novel exact dynamical real space renormalization group for a Langevin equation derivable from a Euclidean Gaussian action is presented. It is demonstrated rigorously that an algebraic temporal law holds for the Green function on arbitrary structures of infinite extent. In the case of fractals it is shown on specific examples that two different fixed points are found at variance with periodic structures. Connection with growth dynamics of interfaces is also discussed.
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