Continued fraction matrix representation of response functions in multicomponent systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 1 2, 2003, Pages 154011-154014

  Daligault, Jérôme ^a   Murillo, Michael S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS TRANSITION; HAMILTONIANS; LIGHT SCATTERING; MATRIX ALGEBRA; NUCLEAR PHYSICS; SET THEORY; VECTORS;

MULTICOMPONENT SYSTEMS;

LARGE SCALE SYSTEMS;

EID: 18844479795     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
2. S. Ayik, Phys. Rev. Lett. 56, 38 (1986).
3. M. Capezzali et al., Phys. Rev. Lett. 78, 523 (1997).
4. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford Science Publications, Oxford, 1994).
5. R. Schilling and T. Scheidsteger, Phys. Rev. E 56, 2932 (1997).
6. H. Mori, Prog. Theor. Phys. 34, 399 (1965).
7. M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982).
8. Z.-X. Cai, S. Sen, and S.D. Mahanti, Phys. Rev. Lett. 68, 1637 (1992); I. Sawada, ibid. 83, 1668 (1999).
9. Z.-X. Cai, S. Sen, and S.D. Mahanti, Phys. Rev. Lett. 68, 1637 (1992); I. Sawada, ibid. 83, 1668 (1999).
10. J. Hong and C. Kim, Phys. Rev. A 43, 1965 (1991).
11. M.H. Lee, Phys. Rev. Lett. 87, 250601 (2001).
12. U. Balucani et al., Phys. Rep. 373, 409 (2003).
13. J. Hong and M.H. Lee, Phys. Rev. Lett. 55, 2375 (1985).
14. j cannot be expressed as a linear combination of the other n -1 variables; such a set will be represented by a n-dimensional column vector A.
15. R. Kubo, in Lectures in Theoretical Physics, edited by W.E. Britton et al. (Wiley Interscience, New York, 1959), Vol. I.
16. H.S. Wall, Analytic Theory of Continued Fractions (Chelsea, New York, 1973).
17. M.H. Lee, Phys. Rev. E 62, 1769 (2000), and references therein.
18. J. Daligault and M.S. Murillo, J. Phys. A 36, 6265 (2003).
19. D.E. Evans and J. Katzenstein, Rep. Prog. Phys. 32, 207 (1969).
20. I.H. Hutchinson, Principles of Plasmas Diagnostics (Cambridge University Press, Cambridge, 1987).
21. ab, which account for diffraction and symmetry effects in an approximate way [22].
22. D.B. Boercker et al., J. Phys. B 16, 3279 (1983).
23. J.P. Hansen and I.R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic Press, New York, 1986).
24. J.P. Hansen and I.R. McDonald, Phys. Rev. A 23, 2041 (1981).