Chaos in Nuclei or Statistical Mechanics of Small Systems: Fluctuations
A review of the empirical evidence for stochasticity in nuclear spectra and in nuclear reactions and its description in terms of random-matrix models is followed by a discussion of the connection between such stochasticity and the behaviour of systems which are the quantum analogues of classical chaotic systems. The comparison suggests that the fluctuations observed experimentally, and described in terms of random-matrix models, are universal. This then calls for a systematic approach towards the calculation of fluctuation properties from random-matrix models. It is shown that methods developed over the last few years in the theory of disordered systems combining functional integration with the replica trick and the loop expansion, or with the use of anticommuting (or Grassmann) variables, obey this requirement, and yield novel results. Some of these results are presented, and discussed.
KeywordsVersus Versus Versus Integration Variable Compound Nucleus Versus Versus Versus Versus Anderson Model
Unable to display preview. Download preview PDF.
- |2|.O. Bohigas and M.J. Giannoni, Lecture Notes in Physics Springer Verlag, Heidelberg, Berlin, New York, Tokyo (1984) Volume 209, 1Google Scholar
- |3|.H.A. Weidenmüller, in Progress in Particle and Nuclear Physics, Vol. 3 (1980) 49, Pergamon Press, Oxford, New York, Frankfurt, ParisGoogle Scholar
- |5|.C. Mahaux and H.A. Weidenmüller, Shell-model approach to Nuclear Reactions, North-Holland Publishing Co., Amsterdam 1969. 16 C.Google Scholar
- |10|.J.J.M. Verbaarschot, H.A. Weidenmüller and M.R. Zirnbauer, Phys.Rev.Lett. 52 (198)4) 1597Google Scholar
- H.K. Weidennialler, Ann.Phys. (N.Y.), 158 (1986) 120Google Scholar
- J.J.M. Verbaarschot and M.R. Zirnbauer,-J.Phys. A 17 (1985) 1093Google Scholar
- J.J.M. Verbaarschot, H.A. Weidenmaller and M.R. Zirnbauer, Phys.Lett. 149B (1986) 263Google Scholar