Inclusion of quantum fluctuations in wave packet dynamics
- Department of Physics, Faculty of Science, Hokkaido University, Sapporo 060 (Japan)
- Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)
We discuss a method by which quantum fluctuations can be included in microscopic transport models based on wave packets that are not energy eigenstates. By including the next-to-leading order term in the cumulant expansion of the statistical weight, which corresponds to the wave packets having Poisson energy distributions, we obtain a much improved global description of the quantum statistical properties of the many-body system. In the case of atomic nuclei, exemplified by {sup 12}C and {sup 40}Ca, the standard liquid-drop results are reproduced at low temperatures and a phase transformation to a fragment gas occurs as the temperature is raised. The treatment can be extended to dynamical scenarios by means of a Langevin force emulating the transitions between the wave packets. The general form of the associated transport coefficients is derived and it is shown that the appropriate microcanonical equilibrium distribution is achieved in the course of the time evolution. Finally, invoking Fermi{close_quote}s golden rule, we derive specific expressions for the transport coefficients and verify that they satisfy the fluctuation-dissipation theorem. {copyright} 1997 Academic Press, Inc.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 664438
- Journal Information:
- Annals of Physics (New York), Vol. 253, Issue 2; Other Information: PBD: Jan 1997
- Country of Publication:
- United States
- Language:
- English
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