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Prog. Theor. Phys. Vol. 71 No. 1 (1984) pp. 50-61
About the Lagrangian Representation of the Fokker-Planck Dynamics. I
— A Non-Renormalized Description
—
F. Sagués*,** and
L. Garrido*
*Departamento de Fisica Teórica, Universidad de Barcelona
**Departamento de Química Física, Universidad de Barcelona,
Diagonal, 647, Barcelona-28
(Received August 20, 1983)
Abstract:
A functional description of the Fokker-Planck dynamics in terms of a Lagrangian is considered. The powerful functional techniques are used in order to generate a non-renormalized perturbation scheme. We study the same question in a Hamiltonian description. It results that both expansions coincide exactly and can be expressed in a natural way according to a set of diagrams uniquely determined. In addition, the characterization of any propagator like the response function is also discussed.
URL :
http://ptp.ipap.jp/link?PTP/71/50/
DOI : 10.1143/PTP.71.50
References:
-
P. C. Martin, E. D. Siggia and H. A. Rose, Phys. Rev. A8 (1973), 423[APS].
- K. Kawasaki, Prog. Theor. Phys. 52 (1974), 1527[PTP].
R. Phytian, J. of Phys. A9 (1976), 269.
L. Garrido and M. San Miguel, Prog. Theor. Phys. 59 (1978), 40[PTP].
U. Deker, Phys. Rev. A19 (1979), 846[APS].
- H. K. Janssen, Z. Phys. B23 (1976), 377.
R. Graham, Z. Phys. B26 (1977), 281.
H. Leschke and M. Schmutz, Z. Phys. B27 (1977), 85.
R. Phytian, J. of Phys. A10 (1977), 777.
R. V. Jensen, J. Stat. Phys. 25 (1981), 183.
F. Langouche, D. Roekaerts and E. Tirapegui, in Functional Integration and Semiclassical Expansion, Mathem. and its Appl., Vol. 10 (D. Reidel Pub. Co., 1982).
-
U. Deker and F. Haake, Phys. Rev. A11 (1975), 2043[APS];
ibid. A12 (1975), 1629[APS].
- L. Garrido and M. San Miguel, see Ref. 2).
- F. Langouche, D. Roekaerts and E. Tirapegui, in Functional Integration and Semiclassical Expansion, Mathem. and its Appl., Vol. 10 (D. Reidel Pub. Co., 1982), p. 9.
-
C. P. Enz and L. Garrido, Phys. Rev. A14 (1976), 1258[APS].