Title: Linearly exact parallel closures for slab geometry

Parallel closures are obtained by solving a linearized kinetic equation with a model collision operator using the Fourier transform method. The closures expressed in wave number space are exact for time-dependent linear problems to within the limits of the model collision operator. In the adiabatic, collisionless limit, an inverse Fourier transform is performed to obtain integral (nonlocal) parallel closures in real space; parallel heat flow and viscosity closures for density, temperature, and flow velocity equations replace Braginskii's parallel closure relations, and parallel flow velocity and heat flow closures for density and temperature equations replace Spitzer's parallel transport relations. It is verified that the closures reproduce the exact linear response function of Hammett and Perkins [Phys. Rev. Lett. 64, 3019 (1990)] for Landau damping given a temperature gradient. In contrast to their approximate closures where the vanishing viscosity coefficient numerically gives an exact response, our closures relate the heat flow and nonvanishing viscosity to temperature and flow velocity (gradients)

Department of Physics, Utah State University, Logan, Utah 84322 (United States)

National Fusion Research Institute, 52 Yeoeun-dong, Yusung-Gu, Daejon (Korea, Republic of)

Publication Date:

OSTI Identifier:

22227875

Resource Type:

Journal Article

Resource Relation:

Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 8; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:

United States

Language:

English

Subject:

70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ELECTRON TEMPERATURE; FOURIER TRANSFORMATION; HEAT FLUX; HEAT TRANSFER; INTEGRAL EQUATIONS; ION TEMPERATURE; KINETIC EQUATIONS; LANDAU DAMPING; PLASMA DENSITY; RESPONSE FUNCTIONS; TEMPERATURE GRADIENTS; THERMODYNAMICS; TIME DEPENDENCE; VISCOSITY