1997/07/14 by M. Reza Rahimi Tabar, M. R. Rahimi Tabar, Tabar, M. R. Rahimi
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th) #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9707127
10 pages, latex, no figures
arxiv created 1997/07/14 · openalex publication_date 1997/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the coefficients of the operator product expansion (OPE), in Polyakov's approach for Burgers turbulence. We show that the OPE has to be generalized and it is shown that the extra term gives us the instanton solution (shock solution) of Burgers equation. We consider the effect of the new-term in the OPE, on the right and left-tail of probability distribution function (PDF). It is shown that the left-tail of PDF, where is dominated by the well-separated shocks behaves as W(u)∼ u-7/2. Finally we calculate the assymptotic behaviour of the N-point generating function of the velocity field, using the new OPE.