dorsal/arxiv
View SchemaRegular and chaotic dynamics in time-dependent relativistic mean-field theory
| Authors | Dario Vretenar, Peter Ring, Georgios A. Lalazissis, Wolfgang Poeschl |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709011 |
| URL | https://arxiv.org/abs/nucl-th/9709011 |
| DOI | 10.1103/PhysRevE.56.6418 |
Abstract
Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field theory. Time-dependent and self-consistent calculations that reproduce experimental data on monopole resonances in 208Pb, show that the motion of the collective coordinate is regular for isoscalar oscillations, and that it becomes chaotic when initial conditions correspond to the isovector mode. Regular collective dynamics coexists with chaotic oscillations on the microscopic level. Time histories, Fourier spectra, state-space plots, Poincare sections, autocorrelation functions, and Lyapunov exponents are used to characterize the nonlinear system and to identify chaotic oscillations. Analogous considerations apply to higher multipolarities.
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"abstract": "Isoscalar and isovector monopole oscillations that correspond to giant\nresonances in spherical nuclei are described in the framework of time-dependent\nrelativistic mean-field theory. Time-dependent and self-consistent calculations\nthat reproduce experimental data on monopole resonances in 208Pb, show that the\nmotion of the collective coordinate is regular for isoscalar oscillations, and\nthat it becomes chaotic when initial conditions correspond to the isovector\nmode. Regular collective dynamics coexists with chaotic oscillations on the\nmicroscopic level. Time histories, Fourier spectra, state-space plots, Poincare\nsections, autocorrelation functions, and Lyapunov exponents are used to\ncharacterize the nonlinear system and to identify chaotic oscillations.\nAnalogous considerations apply to higher multipolarities.",
"arxiv_id": "nucl-th/9709011",
"authors": [
"Dario Vretenar",
"Peter Ring",
"Georgios A. Lalazissis",
"Wolfgang Poeschl"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevE.56.6418",
"title": "Regular and chaotic dynamics in time-dependent relativistic mean-field theory",
"url": "https://arxiv.org/abs/nucl-th/9709011"
},
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