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On the Kraichnan Model of Passive Scalar Advection Near the Batchelor limit
Alain Pumir, Boris I. Shraiman, Eric D. Siggia
The third order correlation function of the scalar field advected by a Gaussian random velocity, with a spatial scaling exponent , and in the presence of a mean gradient, is…
Symmetry and Scaling of Turbulent Mixing
Boris I Shraiman, Eric D Siggia
The stationary condition (Hopf equation) for the (+1) point correlation function of a passive scalar advected by turbulent flow is argued to have an approximate symme…
On the Fermi Liquid to Polaron Crossover II: Double Exchange and the Physics of "Colossal" Magnetoresistance
A. J. Millis, R. Mueller, Boris I. Shraiman
We use the dynamical mean field method to study a model of electrons Jahn-Teller coupled to localized classical oscillators and ferromagnetically coupled to ``core spins'', which,…
On the Fermi Liquid to Polaron Crossover I: General Results
A. J. Millis, R. Mueller, Boris I. Shraiman
We use analytic techniques and the dynamical mean field method to study the crossover from fermi liquid to polaron behavior in models of electrons interacting with dispersionless c…