Abstract
The distribution function for particles confined to a large circle is found for a repulsive potential of long range. The distribution function is calculated exactly from the Boltzmann-Gibbs equation, and compared with the solution of an implicit equation of the type used by Debye and Hückel in the theory of electrolytes. The solution of the Debye-Hückel equation agrees, for our particular potential, only fairly well with the exact distribution function.
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© 1997 Springer-Verlag Berlin Heidelberg
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Ufford, C.W., Wigner, E.P. (1997). On the Calculation of the Distribution Function. In: Wightman, A.S. (eds) Part I: Physical Chemistry. Part II: Solid State Physics. The Collected Works of Eugene Paul Wigner, vol A / 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59033-7_19
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DOI: https://doi.org/10.1007/978-3-642-59033-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63824-4
Online ISBN: 978-3-642-59033-7
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