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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/437

Title: Large deviation theory for coin tossing and turbulence
Authors: Chakraborty, Sagar
Saha, Arnab
Bhattacharjee, Jayanta K
Issue Date: 2009
Publisher: Phys. Rev. E
Citation: S. Chakraborty, A. Saha and J. K. Bhattacharjee, Large deviation theory for coin tossing and turbulence, Phys. Rev. E, 2009, 80, 056302
Abstract: Large deviations play a significant role in many branches of nonequilibrium statistical physics. They are difficult to handle because their effects, though small, are not amenable to perturbation theory. Even the Gaussian model, which is the usual initial step for most perturbation theories, fails to be a starting point while discussing intermittency in fluid turbulence, where large deviations dominate. Our contention is: in the large deviation theory, the central role is played by the distribution associated with the tossing of a coin and the simple coin toss is the “Gaussian model” of problems where rare events play significant role. We illustrate this by applying it to calculate the multifractal exponents of the order structure factors in fully developed turbulence.
URI: http://hdl.handle.net/123456789/437
Appears in Collections:2009

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