Abstract
The Boltzmann-Langevin dynamics of harmonic modes in nuclear matter is analyzed within linear-response theory, both with an elementary treatment and by utilizing the frequency-dependent response function. It is shown how the source terms agitating the modes can be obtained from the basicBL correlation kernel by a simple projection onto the associated dual basis states, which are proportional to the RPA amplitudes and can be expressed explicitly. The source terms for the correlated agitation of any two such modes can then be extracted directly, without consideration of the other modes. This facilitates the analysis of collective modes in unstable matter and makes it possible to asses the accuracy of an approximate projection technique employed previously.
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P. Schuck, R. W. Hasse, J. Jänicke, C. Gregoire, B. Remaud, F. Sebille, and E. Suraud, Prog. Part. Nucl. Phys. 22 (1989) 181
W. Cassing, V. Metag, U. Mosel, and K. Niita, Phys. Rep. 188 (1990) 363
W. Cassing and U. Mosel, Prog. Part. Nucl. Phys. 25 (1990) 235
P. Bonche, S.E. Koonin, and J.W. Negele, Phys. Rev. C13 (1979) 226
L.W. Nordheim, Proc. Roy. Soc. A119 (1928) 689
E.A. Ühling and G.E. Uhlenbeck, Phys. Rev 43 (1933) 552
J. Randrup, Nucl. Phys. A314 (1979) 429
G.F. Bertsch, H. Kruse, and S. Das Gupta, Phys. Rev. C (1984) 673
G.F. Bertsch and S. Das Gupta, Phys. Rep. 160 (1988) 190
S. Ayik and C. Gregoire, Phys. Lett. B212 (1988) 269; Nucl. Phys. A513 (1990) 187
J. Randrup and B. Remaud, Nucl. Phys. A514 (1990) 339
Ph. Chomaz, G.F. Burgio, and J. Randrup, Phys. Lett. B254 (1991) 340; G.F. Burgio, Ph. Chomaz, and J. Randrup, Nucl. Phys. A529 (1991) 157
J. Randrup and S. Ayik, Nucl. Phys. 572 (1994) 489
G.F. Burgio, Ph. Chomaz and J. Randrup, Phys. Rev. Lett. 69 (1992) 885
M. Colonna, Ph. Chomaz, and J. Randrup, Nucl. Phys. A567 (1994) 637
M. Colonna and Ph. Chomaz, Phys. Rev. C49 (1994) 1908
M. Colonna, Ph. Chomaz, A. Guarnera, and B. Jacquot, Phys. Rev. C51 (1995) 2671
M. Colonnaet al., Phys. Rev. C47 (1993) 1395
Ph. Chomaz, M. Colonna, A. Guarnera, and J. Randrup, Phys. Rev. Lett. 73 (1994) 3512
C.J. Pethick and D.G. Ravenhall, Ann. Phys. 183 (1988) 131
J. Randrup, LBL-35848, in preparation
E. de Lima Medeiros and J. Randrup, Nucl. Phys. A529 (1991) 115
E.M. Lifshitz and L.P. Pitaevskii,Physical Kinetics, Pergamon Press, New York (1981)
S. Ayik and J. Randrup, Phys. Rev. C50 (1994) 115
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Communicated by X. Campi
This work was supported by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Nuclear Physics Division of the U.S. Department of Energy under Contracts No. DE-AC03-76SF00098 and DE-FG05-89ER40530, the Commission of the European Community under Contract No. ERBCHBI-CT-930619, and the National Institute for Nuclear Theory at the University of Washington in Seattle