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Application of the Maximum Entropy Production principle to turbulent fluid mechanics and planetary systems

Presented by: 
R Niven [New South Wales]
Friday 26th November 2010 - 10:00 to 11:00
INI Seminar Room 1
Recently, a conditional form of the Maximum Entropy Production (MaxEP) principle was derived based on Jaynes' maximum entropy method, using an entropy defined on the fluxes through an infinitesimal element of a flow system. The analysis is analogous to Gibbs' formulation of equilibrium thermodynamics, expressing the balance between changes in entropy inside and outside a system, but is formulated for a non-equilibrium flow system. The MaxEP principle emerges as the extremum condition in some circumstances. In this seminar, a generic form of the derivation is first provided, encompassing seemingly disparate formulations of equilibrium thermodynamics, local steady-state flow and global steady-state flow (and other systems). The implications of the analysis are explored for several systems, including (i) the transition between laminar and turbulent flow in a pipe, and (ii) the modelling of planetary climate systems, including solar and extrasolar planets.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons