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Maximum Entropy States and Coherent Structures in Magnetohydrodynamics

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 79))

Abstract

We review a recently developed model of coherent structures in two- dimensional magnetohydrodynamic turbulence. This model is based upon a constrained maximum entropy principle: Most probable states are determined as maximizers of entropy subject to constraints imposed by the conservation of energy, cross-helicity, and flux under the evolution of an ideal two-dimensional mag- netofluid. Predictions of the model are compared with results of high-resolution numerical simulations of magnetofluid turbulence.

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Author information

Authors and Affiliations

  1. Center for Nonlinear Analysis and Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Richard Jordan

  2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA

    Bruce Turkington

Authors
  1. Richard Jordan
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  2. Bruce Turkington
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Editor information

Editors and Affiliations

  1. Dynamic Experimentation Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Kenneth M. Hanson

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Richard N. Silver

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© 1996 Springer Science+Business Media Dordrecht

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Jordan, R., Turkington, B. (1996). Maximum Entropy States and Coherent Structures in Magnetohydrodynamics. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_43

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  • DOI: https://doi.org/10.1007/978-94-011-5430-7_43

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6284-8

  • Online ISBN: 978-94-011-5430-7

  • eBook Packages: Springer Book Archive

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