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Directed Percolation Process Advected by Compressible Velocity Field

Chaotic Dynamics 2015-12-21 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1512.05926,
  title  = {Directed Percolation Process Advected by Compressible Velocity Field},
  author = {N. V. Antonov and M. Hnatič and A. S. Kapustin and T. Lučivjanský and L. Mižišin},
  journal= {arXiv preprint arXiv:1512.05926},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T12:13:15.103Z