2006/07/28 by E. Jurčišinová, E. Jurcisinova, Jurcisinova, E. +9
Environmental Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Methane Hydrates and Related Phenomena #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0607066
35 pages, 28 figures, references are changed, mirror changes in the text
openalex publication_date 2006/07/28 · arxiv created 2007/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance ∝ δ(t-t′)|\bf x-\bf x′|2ε is studied by using the field theoretic renormalization group and the operator product expansion. The inertial-range stability of the corresponding scaling regime is established. The anomalous scaling of the single-time structure functions is studied and the corresponding anomalous exponents are calculated. Their dependence on the compressibility parameter and anisotropy parameters is analyzed. It is shown that, as in the isotropic case, the presence of compressibility leads to the decreasing of the critical dimensions of the important composite operators, i.e., the anomalous scaling is more pronounced in the compressible systems. All calculations are done to the first order in ε.