Directed percolation process advected by the compressible flow
T. Lu\v{c}ivjansk\'y, N. V. Antonov, M. Hnati\v{c}, A. S. Kapustin, L., Mi\v{z}i\v{s}in
TL;DR
This paper formulates the directed percolation process under compressible flow using field-theoretic methods, enabling renormalization group analysis of the system.
Contribution
It introduces a novel field-theoretic formulation of directed percolation with compressible velocity fluctuations, facilitating advanced analytical treatment.
Findings
Field-theoretic formulation of directed percolation with compressible flow
Preparation for renormalization group analysis of the process
Framework for studying critical behavior in such systems
Abstract
It will be shown how the directed percolation process in the presence of compressible velocity fluctuations could be formulated within the means of field-theoretic formalism, which is suitable for the renormalization group treatment.
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Taxonomy
TopicsLattice Boltzmann Simulation Studies