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Paper IPM / Physic / 7141  


Abstract:  
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 newterm in the OPE, on the right and lefttail of probability distribution function (PDF). It is shown that the lefttail of PDF, where is dominated by the wellseparated shocks behaves as W(u) ∼ u^{−7/2}. Finally we calculate the assymptotic behaviour of the Npoint generating function of the velocity field, using the new OPE.
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