Abstract
Steady Magnetohydrodynamic (MHD) Equations of force, density and energy for quantum plasmas have been derived. These equations constitute our Steady Magnetohydrodynamic model for quantum plasmas. All the quantum effects are contained in the last term of quantum force equation and in the last three terms of quantum Energy Equation, so-called Bohm potential and may be valuable for the description of quantum phenomena like tunneling.
Highlights
IntroductionFluid models are ubiquitous, with their application ranging from astrophysics to controlled nuclear fusion [1,2,3]
In classical plasma physics, fluid models are ubiquitous, with their application ranging from astrophysics to controlled nuclear fusion [1,2,3]
All the quantum effects are contained in the last term of quantum force equation and in the last three terms of quantum Energy Equation, so-called Bohm potential and may be valuable for the description of quantum phenomena like tunneling
Summary
Fluid models are ubiquitous, with their application ranging from astrophysics to controlled nuclear fusion [1,2,3]. The purpose of work [4] is to produce a quantum counterpart of magnetohydrodynamics, starting with the quantum hydrodynamic model for charged particle systems. This may provide yet another approach to the study of the ways in which quantum physics can modify classical plasma physics. We present the Steady Magnetohydrodynamic (MHD) Equations of force, density and energy for quantum plasmas. These equations constitute our Steady Magnetohydrodynamic model for quantum plasmas. All the quantum effects are contained in the last term of quantum force equation and in the last three terms of quantum Energy Equation, so-called Bohm potential and may be valuable for the description of quantum phenomena like tunneling
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