Nuclear Incompressibility in Asymmetric Systems at Finite Temperature and Entropy

Abstract

The nuclear incompressibility $\kappa$ is investigated in asymmetric systems in a mean field model. The calculations are done at zero and finite temperatures and include surface, Coulomb and symmetry energy terms for several equations of state. Also considered is the behavior of the incompressibility at constant entropy $kapp{a}_Q$ which is shown to have a very different behavior than the isothermal $kappa$. Namely, $kapp{a}_Q$ decreases with increasing entropy while the isothermal $kappa$ increases with increasing $T$. A duality is found between the adiabatic $kapp{a}_Q$ and the T=0 isothermal $kappa$. Analytic and also simple approximate expressions for $kappa$ are given.

11 pages

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Cited by in corpus (12)

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• Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Thermal effects on nuclear symmetry energy with a momentum-dependent effective interaction
• Evolution of the symmetry energy of hot neutron-rich matter formed in heavy-ion reactions
• Equation of state for $\beta$-stable hot nuclear matter
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Symmetry energy and neutron-proton radii studies with a Wigner-Heisenberg monopole-monopole interaction
• Nuclear equation of state and incompressibility in a model with correlations from giant monopole vibrations