Abstract
The mean spherical approximation (MSA) has proved to be a very general and flexible method to analyze equilibrium statistical mechanical systems. In this note we test its accuracy against a simple one-dimensional model, i.e., a lattice gas of polarizable molecules where the internal degree of freedom is treated as quantized harmonic oscillators which interact via harmonic forces. This model can be solved exactly. We find a very good agreement between the MSA and exact solutions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. S. Höye and G. Stell,J. Chem. Phys. 75:5133 (1981).
M. J. Thompson, K. Schweizer, and D. Chandler,J. Chem. Phys. 76:1128 (1982).
E. H. Lieb and D. C. Mattis,Mathematical Physics in One Dimension (Academic Press, New York, 1966).
J. S. Heye and K. Olaussen,J. Chem. Phys. 77:2583 (1982).
D. Chandler, K. Schweizer, and P. G. Wolynes,Phys. Rev. Lett. 49:1100 (1982).
J. H. van Vleck,J. Chem. Phys. 5:556 (1937).
P. Henrici,Applied and Computational Complex Analysis (Wiley, New York, 1977).
Author information
Authors and Affiliations
Additional information
2 The corresponding classical problem of polarizable particles was first solved in a mean spherical approximation (MSA) by M. Wertheim [J. Chem. Phys. 26:1425 (1973)]. He considered the model with nonfluctuating dipole moments. Later L. Pratt [Mol. Phys. 40:347 (1980)] and J. S. Høye and G. Stell [J. Chem. Phys. 73:461 (1980)] solved the corresponding classical problem in the MSA for particles with fluctuating dipole moments.
Rights and permissions
About this article
Cite this article
Hübner, R., Høye, J.S. & Olaussen, K. A case study of the MSA approach to quantized polarizable media. J Stat Phys 42, 523–539 (1986). https://doi.org/10.1007/BF01127725
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01127725