PMID: 11308984Apr 20, 2001Paper

Regular and anomalous scaling of a randomly advected passive scalar

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
X H Wang

Abstract

Extending Kolmogorov's refined similarity hypothesis to study the inertial behavior <[T(x+r,t)-T(x,t)](2n)>~r(zeta(2n)) of a passive scalar T(x,t) advected by a rapidly changing incompressible velocity field, a random variable straight theta was introduced by Ching [Phys. Rev. Lett. 79, 3644 (1997)]. In this paper, the statistical distribution of the random variable X=straight theta/sqrt[<straight theta(2)>] is investigated analytically for the scaling in two limits, n-independent scaling zeta(2n)=zeta(2) and regular scaling zeta(2n)=nzeta(2), and numerically for the scaling of the Kraichnan conjecture zeta(2n)=1 / 2[sqrt[4ndzeta(2)+(d-zeta(2))(2)]-(d-zeta(2))]. For n-independent scaling zeta(2n)=zeta(2), the statistical distribution of X tends to an exponential distribution when zeta(2)-->0 or d-->infinity and to a Gaussian distribution when zeta(2)-->2 and d=2. For regular scaling zeta(2n)=nzeta(2), the statistical distribution of X tends to a Gaussian distribution when zeta(2)-->0 or d-->infinity. In d=2, there seems to be a phase transition for the probability density function P(X) from a convex to a concave function when the value of zeta(2) is increased and the critical point is zeta(2)=4/3 where the random variable X has...Continue Reading

References

Nov 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M ChertkovV Lebedev
Apr 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A L FairhallI Procaccia
Nov 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E S ChingI Procaccia
Dec 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·V L'vov, I Procaccia
Dec 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E S ChingI Procaccia
Oct 30, 1989·Physical Review Letters·Y G Sinai, V Yakhot
Feb 14, 1994·Physical Review Letters·R H Kraichnan
Jul 10, 1995·Physical Review Letters·R H KraichnanS Chen
Nov 20, 1995·Physical Review Letters·K Gawedzki, A Kupiainen
Apr 8, 1996·Physical Review Letters·M Chertkov, G Falkovich
Oct 21, 1996·Physical Review Letters·V S L'vov, I Procaccia

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