Equipartition of energy in magnetohydrodynamics
George Dassios, R. J. Lucas
Abstract
George Dassios, R. J. Lucas
Abstract
The time evolution of the energy for wave propagation in an infinite ideal magnetofluid is studied analytically. It is found that equipartition between the kinetic and potential energies is achieved. Equipartition occurs either in finite time or asymptotically as t→∞ depending upon whether the initial data are compactly supported or have finite energy, respectively.
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The time evolution of the energy for wave propagation in an infinite ideal magnetofluid is studied analytically. It is found that equipartition between the kinetic and potential energies is achieved. Equipartition occurs either in finite time or asymptotically as t→∞ depending upon whether the initial data are compactly supported or have finite energy, respectively.
Key concepts: Equipartition theorem, Physics, Magnetohydrodynamics, Kinetic energy, Energy (signal processing), Classical mechanics, Total energy, Statistical physics