Abstract
The two-dimensional and one-component plasma (OCP) model withr −1 interactions is investigated in the high-temperature limit, where the thermal wavelength gets larger than the classical distance of closest approach. Nonnegligible diffraction effects are rigorously taken care of (up toe 2) through a temperature-dependent effective interaction. Debye thermodynamics, analyzed in terms of a classical plasma parameter Λ, is shown to diverge as Λ Inh, whenh→0. There is no classical limit. A result at variance with the corresponding one in three dimensions.
Similar content being viewed by others
References
See for instance T. Ando, A. B. Fowler, and F. Stern,Rev. Mod. Phys. 54:437 (1982).
A. Fetter,Phys. Rev. B 10:3739 (1974).
F. Chalupa,Phys. Rev. B 12:4 (1975);13:2243 (1976).
H. Totsuji,J. Phys. Soc. Jpn. 39:253 (1975);40:857 (1976).
C. Deutsch, Y. Furutani, and M. M. Gombert,Phys. Rep. 69:86 (1981); also G. Kelbg,S. Bose 70th Birth Commemoration volume, Calcutta, 1965; and C. Deutsch and M. M. Gombert,J. Math. Phys. 17:1077 (1976).
L. Kadanoff and G. Baym,Quantum Statistical Mechanics (Benjamin, Inc., New York, 1962).
H. E. Dewitt,J. Math. Phys. 7:616 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Deutsch, C. Two-dimensional electron fluid at high temperature. J Stat Phys 32, 115–122 (1983). https://doi.org/10.1007/BF01009424
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01009424