dorsal/arxiv
View SchemaTransport coefficients for shape degrees in terms of Cassini ovaloids
| Authors | F. A. Ivanyuk, H. Hofmann, V. V. Pashkevich, S. Yamaji |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701032 |
| URL | https://arxiv.org/abs/nucl-th/9701032 |
| DOI | 10.1103/PhysRevC.55.1730 |
| Journal | Phys.Rev.C55:1730-1746,1997 |
Abstract
Previous computations of the potential landscape with the shapes parameterized in terms of Cassini ovaloids are extended to collective dynamics at finite excitations. Taking fission as the most demanding example of large scale collective motion, transport coefficients are evaluated along a fission path. We concentrate on those for average motion, namely stiffness C, friction \gamma and inertia M. Their expressions are formulated within a locally harmonic approximation and the help of linear response theory. Different approximations are examined and comparisons are made both with previous studies, which involved different descriptions of single particle dynamics, as well as with macroscopic models. Special attention is paid to an appropriate definition of the deformation of the nuclear density and its relation to that of the single particle potential. For temperatures above 3 MeV the inertia agrees with that of irrotational flow to less than a factor of two, but shows larger deviations below, in particular in its dependence on the shape. Also friction exhibits large fluctuations along the fission path for small excitations. They get smoothed out above 3 - 4 MeV where \gamma attains values in the range of the wall formula. For T > (or=) 2 MeV the inverse relaxation time \beta = \gamma /M turns out to be rather insensitive to the shape and increases with T.
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"abstract": "Previous computations of the potential landscape with the shapes\nparameterized in terms of Cassini ovaloids are extended to collective dynamics\nat finite excitations. Taking fission as the most demanding example of large\nscale collective motion, transport coefficients are evaluated along a fission\npath. We concentrate on those for average motion, namely stiffness C, friction\n\\gamma and inertia M. Their expressions are formulated within a locally\nharmonic approximation and the help of linear response theory. Different\napproximations are examined and comparisons are made both with previous\nstudies, which involved different descriptions of single particle dynamics, as\nwell as with macroscopic models. Special attention is paid to an appropriate\ndefinition of the deformation of the nuclear density and its relation to that\nof the single particle potential. For temperatures above 3 MeV the inertia\nagrees with that of irrotational flow to less than a factor of two, but shows\nlarger deviations below, in particular in its dependence on the shape. Also\nfriction exhibits large fluctuations along the fission path for small\nexcitations. They get smoothed out above 3 - 4 MeV where \\gamma attains values\nin the range of the wall formula. For T \u003e (or=) 2 MeV the inverse relaxation\ntime \\beta = \\gamma /M turns out to be rather insensitive to the shape and\nincreases with T.",
"arxiv_id": "nucl-th/9701032",
"authors": [
"F. A. Ivanyuk",
"H. Hofmann",
"V. V. Pashkevich",
"S. Yamaji"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.1730",
"journal_ref": "Phys.Rev.C55:1730-1746,1997",
"title": "Transport coefficients for shape degrees in terms of Cassini ovaloids",
"url": "https://arxiv.org/abs/nucl-th/9701032"
},
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