Turbulent decay of a passive scalar in the Batchelor limit: Exact results from a quantum-mechanical approach

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Turbulent Decay of a Passive Scalar in Batchelor Limit: Exact Results from a Quantum-Mechanical Approach

We show that the decay of a passive scalar θ advected by a random incompressible flow with zero correlation time in Batchelor limit can be mapped exactly to a certain quantum-mechanical system with a finite number of degrees of freedom. The Schrödinger equation is derived and its solution is analyzed for the case when at the beginning the scalar has Gaussian statistics with correlation function...

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Turbulent decay of a passive scalar in the Batchelor limit: Exact results from a quantum-mechanical approach

We show that the decay of a passive scalar θ advected by a random incompressible flow with zero correlation time in the Batchelor limit can be mapped exactly to a certain quantum-mechanical system with a finite number of degrees of freedom. The Schrödinger equation is derived and its solution is analyzed for the case where, at the beginning, the scalar has Gaussian statistics with correlation f...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 1999

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.59.r3811