Abstract
This paper considers a strip of two-dimensional one-component plasma of particles of chargeq at a temperatureT such that the coupling constant be Γ=q2/kBT = 2. The strip is of finite width and infinite length and bears charge densities on either edge. Inside the strip and on one side, the dielectric constant is 1; on the other side of the strip, it may be either 1 or 0 (in the latter case, image forces play an important role). The free energy as well as the one-particle and two-particle distribution functions can be exactly computed. They obey a variety of sum rules reflecting the Coulombic behavior of the system. At large separations the truncated two-particle distribution function behaves with algebraically decaying oscillations. The strip of finite width in fact is correlated along the strip much as a one-dimensional system is correlated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. Jancovici,Phys. Rev. Lett. 46:386 (1981).
A. Alastuey and B. Jancovici,J. Phys. (Paris) 42:1 (1981).
E. R. Smith,Phys. Rev. A 24:2851 (1981).
E. R. Smith,J. Phys. A. (Math. Gen.) 15:1271 (1982).
P. J. Forrester and E. R. Smith,J. Phys. A. (Math. Gen.) 15:3861 (1982).
B. Jancovici,J. Phys. Lett. 42:L-223 (1981).
B. Jancovici,J. Stat. Phys. 28:43 (1982).
B. Jancovici,J. Stat. Phys. 29:263 (1982).
Ch. Gruber, J. L. Lebowitz, and Ph. Martin,J. Chem. Phys. 75:944 (1981).
D. Henderson and L. Blum,Chem. Phys. Lett. 85:374 (1982).
L. Blum, D. Henderson, J. L. Lebowitz, Ch. Gruber, and Ph. Martin,J. Chem. Phys. 75:5974 (1981).
L. Blum, Ch. Gruber, J. L. Lebowitz, and Ph. Martin,Phys. Rev. Lett. 48:1769 (1982).
D. Brydges and P. Federbush,Commun. Math. Phys. 73:197 (1980).
A. S. Usenko and I. P. Yakimenko,Sov. Tech. Phys. Lett. 5:549 (1979).
M. L. Mehta,Random Matrices (Academic Press, New York, 1967).
Ph. Choquard,Helv. Phys. Acta 54:332 (1981) (and private communication).
H. Kunz,Ann. Phys. (N.Y.) 85:303 (1974).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Forrester, P.J., Jancovici, B. & Smith, E.R. The two-dimensional one-component plasma at Γ=2: Behavior of correlation functions in strip geometry. J Stat Phys 31, 129–140 (1983). https://doi.org/10.1007/BF01010926
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01010926