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On the orbital motion limited theory for a small body at floating potential in a Maxwellian plasma

Published online by Cambridge University Press:  01 May 2000

J. E. ALLEN ,
B. M. ANNARATONE  and
U. de ANGELIS
J. E. ALLEN
Affiliation:
Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK
B. M. ANNARATONE
Affiliation:
Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK
U. de ANGELIS
Affiliation:
Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK Permanent address: Department of Physical Sciences, University of Naples, Italy.
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Abstract

The condition for the validity of the orbital motion limited (OML) theory is reviewed, with reference to the calculation of the floating potential attained by a spherical body immersed in a plasma. It is shown that the OML theory is never satisfied in Maxwellian plasmas, even in the case of very small bodies, i.e. those with radii much smaller than the plasma Debye length. The case considered is that where the ion temperature is less than or equal to the electron temperature. The results are relevant to the theory of dusty plasmas, where the OML theory has been much employed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 63 , Issue 4 , May 2000 , pp. 299 - 309
Copyright
2000 Cambridge University Press

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