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From a simple path integral involving a variable volatility in the velocitydifferences, we obtain velocity probability density functions with exponentialtails, resembling those observed in fully developed turbulence. The modelyields realistic scaling exponents and structure functions satisfying extendedself-similarity. But there is an additional small scale dependence forquantities in the inertial range, which is linked to a slow approach toKolmogorov (1941) scaling occurring in the large distance limit.Comment: 10 pages, 5 figures, minor changes to mirror version to appear in PR

Intermittency and the slow approach to Kolmogorov scaling