CORRECTION TO THE DEBYE-HUCKEL THEORY
The problem of a gas of particles all of the same charge, imbedded in a neutralizing medium of uniformly distributed charge of the opposite sign, was considered in terms of classical statistical mechanics. if a dimensionless parameter epsilon , roughly the inverse of the number of particles contained inside a Debye sphere, is small compared to unity, the Debye-Huckel theory is a good first approximation. For this case the corrections in the next order in epsilon are derived for the potential of mean force and the interaction energy. It was shown how this correction has to be modified for very small panticle separation. The expansion in powers of epsilon is not strictiy a Taylor expansion and factors such as In epsilon appear in the higher terms. Methods were given for numerical calculation of some auxiliary functions even when the parameter epsilon is not small. (auth)
- Research Organization:
- Cornell Univ., Ithaca, N.Y.
- NSA Number:
- NSA-14-023527
- OSTI ID:
- 4156747
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 119; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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