Magnetohydrodynamic dissipation range spectra for isotropic viscosity and resistivity

Terry, P. W.; Tangri, V.
August 2009
Physics of Plasmas;Aug2009, Vol. 16 Issue 8, p082305
Academic Journal
Dissipation range spectra for incompressible magnetohydrodynamic turbulence are derived for isotropic viscosity μ and resistivity η. The spectra are obtained from heuristic closures of spectral transfer correlations for cases with Pm=μ/η≤1, where Pm is the magnetic Prandtl number. Familiar inertial range power laws are modified by exponential factors that dominate spectral falloff in the dissipation range. Spectral forms are sensitive to alignment between flow and magnetic field. There are as many as four Kolmogorov wavenumbers that parametrize the transition between inertial and dissipative behavior and enter corresponding spectral forms. They depend on the values of the viscosity and resistivity and on the nature of alignment in inertial and dissipation ranges.


Related Articles

  • Two-fluid magnetohydrodynamic model of plasma flows in a quasi-steady-state accelerator with a longitudinal magnetic field. Kozlov, A. N. // Journal of Applied Mechanics & Technical Physics;May2009, Vol. 50 Issue 3, p396 

    This paper reports the results of numerical studies of axisymmetric flows in a coaxial plasma accelerator in the presence of a longitudinal magnetic field. The calculations were performed using a two-dimensional two-fluid magnetohydrodynamic model taking into account the Hall effect and the...

  • Study of applied magnetic field magnetoplasmadynamic thrusters with particle-in-cell and Monte Carlo collision. II. Investigation of acceleration mechanisms. Tang, Hai-Bin; Cheng, Jiao; Liu, Chang; York, Thomas M. // Physics of Plasmas;Jul2012, Vol. 19 Issue 7, p073108 

    The particle-in-cell method previously described in paper (I) has been applied to the investigation of acceleration mechanisms in applied-field magnetoplasmadynamic thrusters. This new approach is an alternative to magnetohydrodynamics models and allows nonlocal dynamic effects of particles and...

  • Role of the pressure force in the explosive dynamics of magnetic islands in double tearing modes. Janvier, M.; Ishizawa, A.; Li, J.; Kishimoto, Y. // Physics of Plasmas;Oct2011, Vol. 18 Issue 10, p102112 

    The evolution of magnetic islands at two resonant surfaces during the development of a global tearing mode is investigated via numerical simulations of a reduced set of magneto-hydrodynamic equations in slab plasmas. The explosive dynamics of the islands resulting in an interchange follows a...

  • Particle-in-cell simulations of fast magnetic field penetration into plasmas due to the Hall... Swanekamp, S.B.; Grossman, J.M.; Fruchtman, A.; Oliver, B.V. // Physics of Plasmas;Oct96, Vol. 3 Issue 10, p3556 

    Studies the penetration of magnetic field into plasmas in the electron-magnetohydrodynamic (EMHD) regime using particle-in-cell simulations. Verification of EMHD by particle-in-cell simulations; Speed of penetration; Storage of energy entering the plasma; Saturation of the internal plasma energy.

  • Nonlinear magnetohydrodynamic detonation: Part I. Hurricane, O.A.; Fong, B.H.; Cowley, S.C. // Physics of Plasmas;Oct97, Vol. 4 Issue 10, p3565 

    Reports on the generalization of a mechanism for nonlinear explosive magnetohydrodynamic destabilization of a line tied Rayleigh-Taylor model, to arbitrary magnetic field geometries. Ballooning equation in a general equilibrium derived as in intermediate step; Linear stability of the plasma...

  • Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry. Berk, H. L.; Freidberg, J. P.; Llobet, X.; Morrison, P. J.; Tataronis, J. A. // Physics of Fluids (00319171);Oct86, Vol. 29 Issue 10, p3281 

    The problem of sharp boundary, ideal magnetohydrodynamic equilibria in three-dimensional toroidal geometry is addressed. The sharp boundary, which separates a uniform pressure, current-free plasma from a vacuum, is determined by a magnetic surface of a given vacuum magnetic field. The pressure...

  • Plasma rotation driven by static nonresonant magnetic fields. Garofalo, A. M.; Solomon, W. M.; Lanctot, M.; Burrell, K. H.; DeBoo, J. C.; deGrassie, J. S.; Jackson, G. L.; Park, J.-K.; Reimerdes, H.; Schaffer, M. J.; Strait, E. J. // Physics of Plasmas;May2009, Vol. 16 Issue 5, p056119 

    Recent experiments in high temperature DIII-D tokamak [J. L. Luxon, Nucl. Fusion 42, 64 (2002)] plasmas reported the first observation of plasma acceleration driven by the application of static nonresonant magnetic fields (NRMFs), with resulting improvement in the global energy confinement time....

  • Propeller Effect during Magnetocentrifugal Plasma Acceleration. Bogovalov, S. V. // Astronomy Letters;Mar2001, Vol. 27 Issue 3, p176 

    We study the effect of magnetic-field axial asymmetry on the magnetocentrifugal acceleration of plasma when it flows in a source's rotating magnetosphere (propeller effect). For an axisymmetric steady plasma flow, the first corrections to the energy that arise when the source rotates slowly are...

  • A model of quasi-independent particles for a plasma microfield. Kalitkin, N. N.; Kozlitin, I. A. // Doklady Physics;Feb2008, Vol. 53 Issue 2, p61 

    The article discusses a microfield model based on the concept of quasi-independent particles (QUIPs) that uses general physical reasoning leading to simple formulas. According to the author, this model describes the available experimental data that leads to a finite energy of the field. It is...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics