Directed-bond percolation subjected to synthetic compressible velocity fluctuations : Renormalization group approach
Autor: | M. Hnatich, Tomáš Lučivjanský, L. Mižišin, N. V. Antonov, A. S. Kapustin |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Physics
Phase transition Statistical and Nonlinear Physics Fixed point Renormalization group Physik (inkl. Astronomie) Conservative vector field 01 natural sciences Stability (probability) 010305 fluids & plasmas Percolation 0103 physical sciences Field theory (psychology) Vector field 010306 general physics Mathematical Physics Mathematical physics |
Popis: | We study the directed-bond percolation process (sometimes called the Gribov process because it formally resembles Reggeon field theory) in the presence of irrotational velocity fluctuations with long-range correlations. We use the renormalization group method to investigate the phase transition between an active and an absorbing state. All calculations are in the one-loop approximation. We calculate stable fixed points of the renormalization group and their regions of stability in the form of expansions in three parameters (e, y, η). We consider different regimes corresponding to the Kraichnan rapid-change model and a frozen velocity field. |
Databáze: | OpenAIRE |
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