Abstract
In a recent work, an extension of one-body transport model has been proposed by Ayik and Gregoire by incorporating dynamical fluctuations into the equation of motion for single-particle density. In addition to its various applications at intermediate energies, this model provides a microscopic and numerically tractable description for dissipation and fluctuation properties of large amplitude collective motion at low energies. This is illustrated by projecting the one-body transport equation into a collective subspace which yields a collective transport model known from phenomenological studies of damped nuclear collisions and induced fission, and provides an explicit calculation of transport coefficients with memory effects.
Similar content being viewed by others
References
Nörenberg, W.: Phys. Lett52B, 289 (1974); Z. Phys. A — Atoms and Nuclei274, 241 (1975);276, 84 (1976)
Ayik, S.: Phys. Lett.63B, 22 (1976)
Agassi, D., Ko, C.M., Weidenmüller, H.A.: Ann. Phys. (N.Y.)107, 140 (1977);117, 404 (1979)
Gross, D.H.E.: Nucl. Phys. A240, 472 (1975)
Randrup, J.: Nucl. Phys. A307, 319 (1978);327, 490 (1979)
Hofmann, H., Siemens, P.J.: Nucl. Phys. A257, 165 (1976);275, 464 (1977)
Abe, Y., Grégoire, C., Delagrange, H.: J. Phys. (Paris) C4, 47, 3 (1986)
Fröbrich, R., Xu, S.Y.: Nucl. Phys. A477, 143 (1988)
Risken, H.: The Fokker Planck equation. Berlin, Heidelberg, New York: Springer 1984
Nörenberg, W.: Phys. Lett. B104, 107 (1981)
Ayik, S., Nörenberg, W.: Z. Phys. A — Atoms and Nuclei309, 121 (1982)
Cassing, W., Nörenberg, W.: Nucl. Phys. A401, 467 (1983)
Lukasiak, A., Cassing, W., Nörenberg, W.: Nucl. Phys. A426, 181 (1984)
Niita, K., Nörenberg, W., Wang, S.J.: Z. Phys. A — Atomic Nuclei326, 69 (1987),328, 503 (1987)
Morgenstern, B., Nörenberg, W.: Nucl. Phys. A492, 93 (1989)
Bertsch, G.F., Das Gupta, S.: Phys. Rep.160, 190 (1988)
Aichelin, J., Bertsch, G.F.: Phys. Rev. C31, 1730 (1985)
Kruse, H., Jacak, B., Stocker, H.: Phys. Lett.54, 289 (1985)
Grégoire, C., Rémaud, B., Sébille, F., Vinet, L., Raffray, Y.: Nucl. Phys. A465, 317 (1987)
Ayik, S., Grégoire, C.: Phys. Lett. B212, 269 (1988); Nucl. Phys. A513, 187 (1990)
Ayik, S., Grégoire, C., Suraud, E., Stryjewski, J., Belkacem, M.: Cont. to Sixth Workshop on Nuclear Dynamics, Jackson, WY (1990)
Kramers, H.A.: Physica VII,4, 284 (1940)
Grangé, P., Jun-Quing, L., Weidenmüller, H.A.: Phys. Rev. C27, 2063 (1983)
Uhlenbeck, U.: Phys. Rev.43, 552 (1933)
Randrup, J., Rémaud, B.: Nucl. Phys. A514, 339 (1990)
Stryjewski, J., Ayik, S., Belkacem, M., Suraud, E.: Cont. to Int. Workshop on Gross Properties of Nuclei and Nuclear Excitations, Hirschegg, Austria (1990)
Belkacem, M., Ayik, S., Stryjewski, J., Suraud, E.: Cont. to XXVIII Winter Meeting, Bormio, Italy (1990)
Suraud, E.: Cont. to XXVIII Winter Meeting, Bormio, Italy (1990)
Landau, L.D., Lifshitz, E.M.: Fluid mechanics. Reading: Addison-Wesley 1959
Danielewicz, P.: Ann. Phys. (N.Y.)152, 239 (1984)
Sykes, J., Brooker, G.A.: Ann. Phys. (N.Y.)56, 1 (1970)
Bertsch, G.F.: Z. Phys. A — Atoms and Nuclei289, 103 (1978)
Ayik, S.: (to be published)
Author information
Authors and Affiliations
Additional information
This work is supported in part by US DOE Grant DE-FG05-89ER40530
It is a pleasure to acknowledge C. Gregoire for stimulating discussions.
The Joint Institute for Heavy Ion Research has as member institutions the University of Tennessee, Vanderbilt University, and the Oak Ridge National Laboratory; it is supported by the members and by the Department of Energy through Contract Number DE-FG05-87ER40361 with the University of Tennessee.