Abstract
We presesent an exact generalization of the Foldy-Lax formula for the self-energy of a wave propagating in a disordered system of identical spherical scatterers. The Foldy-Lax formula yields an expression for the self-energy valid to first order in the density of scatterers. Our exact formula allows a systematic calculation of corrections to this low-density approximation. The formula is based on a renormalized cluster expansion which was presented earlier.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. L. Foldy,Phys. Rev. 67:107 (1945).
M. Lax,Rev. Mod. Phys. 23:287 (1951).
M. Lax,Phys. Rev. 85:621 (1952).
B. Cichocki and B. U. Felderhof,J. Stat. Phys. 51:57 (1988), referred to as I.
R. J. Elliott, J. A. Krumhansl, and P. L. Leath,Rev. Mod. Phys. 46:465 (1974).
J. M. Ziman,Models of Disorder (Cambridge University Press, Cambridge, 1979).
G. K. Batchelor,Annu. Rev. Fluid Mech. 6:227 (1974).
B. Cichocki and B. U. Felderhof,J. Stat. Phys. 53:499 (1988).
L. L. Foldy and J. D. Walecka,Ann. Phys. 54:447 (1969).
P. Soven,Phys. Rev. 156:809 (1967).
P. Soven,Phys. Rev. 178:9936 (1969).
B. Cichocki and B. U. Felderhof,Physica A 154:213 (1989)
B. Cichocki, B. U. Felderhof, and R. Schmitz,Physica A 154:233 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Felderhof, B.U., Cichocki, B. Generalization of the Foldy-Lax formula for the self-energy of a wave propagating in a disordered system of scatterers. J Stat Phys 55, 1157–1168 (1989). https://doi.org/10.1007/BF01041083
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01041083