Continued-fraction description of collective motion in simple fluids

Continued-fraction description of collective motion in simple fluids

Publication Type:

Journal Article

Authors:

Weinberg, M.; Kapral, R.

Source:

Physical Review A, Volume 4, Number 3, p.1127-1135 (1971)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-35949042586&doi=10.1103%2fPhysRevA.4.1127&partnerID=40&md5=9d0486ddec4e884bd76363267c60fc4b

Abstract:

In this paper a many-variable form of the Mori continued-fraction technique is employed to investigate the relaxation function of simple liquids. A general relationship between a truncated-continued-fraction expression and the Zwanzig and Nossal variational result for the relaxation function is presented. In addition, a specific example of this relationship is explored to show the connection between the eigenvalues found from high-frequency hydrodynamic equations and those obtained from a variational method. The structure of the relaxation function in the low-wave-vector limit is examined in considerable detail, and some comments are made concerning the applicability of the variational method in the low-wave-vector and high-frequency regime. © 1971 The American Physical Society.