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  • Solar Physics  (2)
  • THERMODYNAMICS AND STATISTICAL PHYSICS  (1)
  • 1
    Publication Date: 2011-08-24
    Description: The energy budgets of the corona are substantially influenced by losses attributed to thermal conduction losses down the transition region, towards the chromosphere. Although Fourier law for such a plasma regime is now universally criticized as inappropriate, the direction of this heat flow seems to be certain. The purpose of this paper is to point out, based on conservation laws, the direction in which the heat must flow in this regime, provided it is known that there is a time independent expansion devoid of parallel currents. It will be argued that the direction of the heat flux is from the base of the transition region up into the corona, rather than the opposite. Under the circumstances mentioned above, the direction of the heat flow should be opposite to the gradient of the electron pressure gradient. Although the transition region is modeled as isobaric, this is only approximately true. Such a likely scenario makes the heat flow almost certainly to flow from the lower temperature base of the TR up into the incipient corona if a steady state current free expansion is to be maintained.
    Keywords: Solar Physics
    Type: ; 66
    Format: text
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  • 2
    Publication Date: 2019-06-27
    Description: An approximation method for statistical mechanics is presented and applied to a class of problems which contains a test particle propagation problem. All of the available basic equations used in statistical mechanics are cast in the form of a single equation which is integrodifferential in time and which is then used as the starting point for the construction of the local approximation method. Simplification of the integrodifferential equation is achieved through approximation to the Laplace transform of its kernel. The approximation is valid near the origin in the Laplace space and is based on the assumption of small Laplace variable. No other small parameter is necessary for the construction of this approximation method. The n'th level of approximation is constructed formally, and the first five levels of approximation are calculated explicitly. It is shown that each level of approximation is governed by an inhomogeneous partial differential equation in time with time independent operator coefficients. The order in time of these partial differential equations is found to increase as n does. At n = 0 the most local first order partial differential equation which governs the Markovian limit is regained.
    Keywords: THERMODYNAMICS AND STATISTICAL PHYSICS
    Type: NASA-TM-X-71243 , X-692-76-252 , A-7349
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  • 3
    Publication Date: 2019-07-17
    Description: The parallel electric field in the solar wind is much smaller than the V x B motional electric field, yet in the proper dimensions units it is very 'large'. At the orbit of earth it is within a few percent of being at the Dreicer limit. This 'large' electric field is required for quasi-neutrality; it will be shown to have interesting consequences for the electron velocity distribution function and the description of transport of heat. Interestingly, a similar dimensionless situation also occurs at the base of the transition region, while below the transition region the dimensionless electric field is very weak. These facts suggest a new way to look at the thermal-suprathermal dichotomy in velocity distributions as the response of a plasma where charge neutrality requires such large dimensionless electric fields.
    Keywords: Solar Physics
    Type: ; 37
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