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Stochastic one-body transport and coupling to mean-field fluctuations
Phys. Rev. C 64, 024609 – Published 3 July, 2001
DOI: https://doi.org/10.1103/PhysRevC.64.024609
Abstract
A stochastic transport description for the single-particle density matrix is briefly discussed. It is shown that the stochastic description contains, in addition to incoherent binary collisions, a coherent damping mechanism due to coupling between mean-field fluctuations and single-particle motion, and an expression for the coherent collision term is derived. In the limit of small fluctuations around equilibrium, the collective and single-particle self-energies due to the coherent mechanism are deduced.
References (39)
- G. F. Bertsch and S. Das Gupta, Phys. Rep. 160, 190 (1988).
- W. Casing and U. Mosel, Prog. Part. Nucl. Phys. 25, 235 (1990).
- K. Goeke and P.-G. Reinhard, Time-Dependent Hartree-Fock and Beyond (Bad Honnef, Germany, 1982).
- K. T. D. Davis, K. R. S. Devi, S. E. Koonin, and M. Strayer, Treatise in Heavy-Ion Science, edited by D. A. Bromley, Nuclear Science, Vol. 4 (Plenum, New York, 1984).
- C. Y. Wong and H. H. K. Tang, Phys. Rev. Lett. 40, 1070 (1978); Phys. Rev. C 20, 1419 (1979).
- S. Ayik, Z. Phys. A 298, 83 (1980).
- P. Grange, H. A. Weidenmuller, and G. Wolschin, Ann. Phys. 136, 190 (1981).
- R. Balian and M. Veneroni, Ann. Phys. 135, 270 (1981).
- W. Cassing and S. J. Wang, Z. Phys. A 337, 1 (1990).
- M. Tohoyama, Phys. Rev. C 36, 187 (1987).
- G. F. Bertsch, P. F. Bortignon, and R. A. Broglia, Rev. Mod. Phys. 55, 287 (1983).
- G. F. Bertsch and R. A. Broglia, Oscillations in Finite Quantum Systems (Cambridge University Press, Cambridge, England, 1994).
- F. DeBlasio et al., Phys. Rev. Lett. 68, 1663 (1992).
- P. F. Bortignon, A. Bracco, and R. A. Broglia, Giant Resonances and Nuclear Structure at Finite Temperature (Harwood Academic, Switzerland, 1998).
- H. Mori, Theoret. Phys. 33, 423 (1965).
- S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).
- R. W. Zwanzig, in Quantum Statistical Mechanics, edited P. H. E. Meijer (Gordon and Breach, New York, 1966).
- M. Bixon and R. Zwanzig, Phys. Rev. 187, 267 (1969).
- S. Ayik and C. Gregoire, Phys. Lett. B 212, 269 (1988); Nucl. Phys. A513, 187 (1990).
- J. Randrup and B. Remaud, Nucl. Phys. A514, 339 (1990).
- Y. Abe, S. Ayik, P. -G. Reinhard, and E. Suraud, Phys. Rep. 275, 49 (1996).
- S. Ayik, Yukawa Institute Report No. YITP-00-23; Phys. Lett. B 493, 47 (2000).
- G. F. Burgio, Ph. Chomaz, and J. Randrup, Phys. Rev. Lett. 69, 885 (1992).
- L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
- P. Danielewicz, Ann. Phys. 152, 239 (1984).
- K. Huang, Statistical Mechanics (Wiley, New York, 1962).
- L. Von Hove, Physica 21, 517 (1955).
- S. Ayik, Z. Phys. A 350, 45 (1994).
- Y. B. Ivanov and S. Ayik, Nucl. Phys. A593, 233 (1995).
- P. Danielewicz, Ann. Phys. A197, 154 (1990).
- S. Ayik, O. Yilmaz, A. Gokalp, and P. Schuck, Phys. Rev. C 58, 1594 (1998).
- D. Lacroix, Ph. Chomaz, and S. Ayik, Phys. Rev. C 58, 2154 (1998).
- S. Ayik, D. Lacroix, and Ph. Chomaz, Phys. Rev. C 61, 014608 (2000).
- C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991).
- Ph. Chomaz, D. Lacroix, S. Ayik, and M. Colonna, Phys. Rev. C 62, 024307 (2000).
- R. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, New York, 1980).
- P. Danielewicz and P. Schuck, Nucl. Phys. A567, 78 (1994).
- S. Ayik, Phys. Rev. Lett. 56, 38 (1986).
- P. Bortignon, R. A. Broglia, G. F. Bertsch, and J. Pacheco, Nucl. Phys. A460, 149 (1986).