Passive advection of percolation process: Two-loop approximation
Statistical Mechanics
2019-10-23 v1 Chaotic Dynamics
Abstract
The paradigmatic model of the directed percolation process is studied near its second order phase transition between an absorbing and an active state. The model is first expressed in a form of Langevin equation and later rewritten into a field-theoretic formulation. The ensuing response functional is then analyzed employing Feynman diagrammatic technique and perturbative renormalization group method. Percolation process is assumed to occur in external velocity field, which has an additional effect on spreading properties. Kraichnan rapid change ensemble is used for generation of velocity fluctuations. The structure of the fixed points structure is obtained within the two-loop approximation.
Cite
@article{arxiv.1905.01237,
title = {Passive advection of percolation process: Two-loop approximation},
author = {Š. Birnšteinová and M. Hnatič and T. Lučivjanský and L. Mižišin and V. Škultéty},
journal= {arXiv preprint arXiv:1905.01237},
year = {2019}
}
Comments
Accepted for publication in Theor. Math. Phys