Directed Percolation Process Advected by Compressible Velocity Field

Abstract

The directed percolation process in the vicinity of non-equilibrium phase transition is studied by the means of field theoretic methods. It will be assumed that percolation takes place in a compressible environment, which will be generated by the modified Kraichnan model. We will discuss differ- ences with the incompressible case and describe how the given model can be renormalized. The renormalization constants will be given to the one-loop order.

12 pages, 1 figure, 2 tables, conference contribution to Proceedings of the 16th Small Triangle Meeting on Theoretical Physics, Ptičie, Slovakia (2014), ISBN 978-80-8143-168-5