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What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
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Abstract(s)
It is shown that Steenbeck’s principle of minimum power, or voltage, for discharges with fixed
current is not a corollary of the principle of minimum entropy production, in contrast to what
is frequently assumed; besides, the latter principle itself does not provide a reasonable
approximation in gas discharge physics. Similarly, Steenbeck’s principle is not a corollary of
mathematical models of gas discharges. Hence, this principle contradicts the mathematical
models. A methodically correct evaluation of the error caused by the use of Steenbeck’s
principle requires a comparison of a solution obtained with the use of this principle with an
exact solution to the same problem, rather than with experimental results or results deemed
reasonable from the point of view of common sense. Such a comparison is performed for two
examples from the theory of a cylindrical arc column. The examples show that the error
incurred by the usage of Steenbeck’s principle is uncontrollable and may be unacceptably high.
Description
Keywords
Steenbeck’s principle Gas discharge physics . Faculdade de Ciências Exatas e da Engenharia
Citation
Benilov, M. S., & Naidis, G. V. (2010). What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?. Journal of Physics D: Applied Physics, 43(17), 175204. DOI: 10.1088/0022-3727/43/17/175204
Publisher
IOP Publishing