Dynamical aspects of thermal nuclear properties

Kiderlen, D.; Hofmann, Helmut; Ivanyuk, F. A.

doi:10.1016/0375-9474(92)90019-g

Cited by 11 publications

(42 citation statements)

References 20 publications

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“…It was shown in [10] that for temperatures not smaller than 1 to 1.5MeV the coupling constant may effectively be calculated from the free energy f , or its stiffness ∂ 2 f /∂Q 2 0 , rather, using the formula…”

Section: Local Linearizationmentioning

confidence: 99%

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Variation of transport coefficients for average fission dynamics with temperature and shape

Yamaji¹,

Ivanyuk

Hofmann

1997

Nuclear Physics A

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We study slow collective motion at finite thermal excitations on the basis of linear response theory applied to the locally harmonic approximation. The transport coefficients for average motion, friction γ, inertia M and the local stiffness C are computed along a fission path of 224 T h within a quasi-static picture. The inverse relaxation time β = γ/M and the effective damping rate η = γ/(2 M |C|) are found to increase with temperature, but do not change much with the collective variable. The values found for η and β as well as their behavior with temperature are in accord with experimental findings.

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Section: Local Linearizationmentioning

confidence: 99%

“…This can be inferred from the fact that C(0) drops with increasing excitation whereas χ(0) turns out quite insensitive to changes in T (c.f. [10]). For realistic cases, say above T ≈ 1MeV , C(0)/χ(0) is of the order of several %.…”

Section: Transport Coefficients From the Collective Responsementioning

confidence: 99%

Variation of transport coefficients for average fission dynamics with temperature and shape

Yamaji¹,

Ivanyuk

Hofmann

1997

Nuclear Physics A

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“…As shown and applied to in Refs. [12,13,17,37] the problem can be solved by defining the transport coefBcients proper through a procedure of fitting an oscillator response function to selected peaks of the collective response function. Here such a fitting procedure would also be adequate at intermediate temperatures, especially because our response function of Eq.…”

Section: 7)mentioning

confidence: 99%

“…[12,13,17,37]. In Appendix B we will discuss this method adopted for the present purpose where we know the position of the poles and we can calculate the residues directly from Eq.…”

Section: 7)mentioning

confidence: 99%

Surface response in the Fermi-liquid drop and nuclear transport properties

et al. 1995

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Response functions for isoscalar multipole excitations are calculated for a large range of temperatures and analyzed in terms of transport coeKcients. The dynamics of the nucleons is treated semiclassically by applying the collisional Landau-Vlasov equation for the interior region, supplemented by the "efFective nuclear surface approximation" introduced previously to describe the dynamics of the surface. Collisions are considered in modified relaxation time approximation with a temperatureand frequency-dependent relaxation time. The strength distribution shows a marked transition from the zero sound like behavior at small temperatures to the one corresponding to collision dominated modes. The latter appear at small frequencies and are underdamped. Within our present model the transition occurs at large temperatures of about T & 4 MeV. For the intermediate temperatures the overdamped modes are found as related to the low-lying peaks in the strength function. The results are illustrated by the calculations of the strength function for the quadrupole excitations in the nucleus Pb. PACS number(s): 21.60.Ev, 24.30.Cz

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“…As has been shown in [10], for truely ergodic systems this expression is correct even at finite excitations. In general one may write:…”

Section: Microscopic Picturementioning

confidence: 56%

From microscopic to macroscopic nuclear collective dynamics

Hofmann

Ivanyuk

1992

Z. Physik A - Hadrons and Nuclei

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Abstract.We apply smoothing procedures to response functions for isoscalar vibrations. For collective motion, we find a transition from a structured strength distribution to one corresponding to one incoherent, strongly overdamped mode. It is argued that the latter may be interpreted as "macroscopic" motion exhibiting, to some extent, features of the hydrodynamical model. We discuss the physical origin of this behaviour, in particular its relation to the disappearance of shell structure.

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Dynamical aspects of thermal nuclear properties

Cited by 11 publications

References 20 publications

Variation of transport coefficients for average fission dynamics with temperature and shape

Variation of transport coefficients for average fission dynamics with temperature and shape

Surface response in the Fermi-liquid drop and nuclear transport properties

From microscopic to macroscopic nuclear collective dynamics

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