Active-to-absorbing phase transition subjected to the velocity fluctuations in the frozen limit case

TL;DR

This paper investigates how compressible, long-range correlated velocity fluctuations affect the directed bond percolation process, especially in the frozen velocity limit, using field theory and renormalization group techniques.

Contribution

It introduces a field theoretic framework for analyzing directed percolation with velocity fluctuations and explores the large-scale behavior in the frozen velocity limit.

Findings

Analysis of the directed bond percolation with compressible velocity fluctuations.

Identification of the effects of long-range correlations on critical behavior.

Results specific to the frozen velocity limit case.

Abstract

The directed bond percolation process is studied in the presence of com- pressible velocity fluctuations with long-range correlations. We discuss a construction of a field theoretic action and a way of obtaining its large scale properties using the perturbative renormalization group. The most interest- ing results for the frozen velocity limit are given.