dorsal/arxiv
View SchemaVariational Theory of Hot Nucleon Matter
| Authors | Abhishek Mukherjee, V. R. Pandharipande |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609058 |
| URL | https://arxiv.org/abs/nucl-th/0609058 |
| DOI | 10.1103/PhysRevC.75.035802 |
| Journal | Phys.Rev.C75:035802,2007 |
Abstract
We develop a variational theory of hot nuclear matter in neutron stars and supernovae. It can also be used to study charged, hot nuclear matter which may be produced in heavy-ion collisions. This theory is a generalization of the variational theory of cold nuclear and neutron star matter based on realistic models of nuclear forces and pair correlation operators. The present approach uses microcanonical ensembles and the variational principle obeyed by the free energy. In this paper we show that the correlated states of the microcanonical ensemble at a given temperature $T$ and density $\rho$ can be orthonormalized preserving their diagonal matrix elements of the Hamiltonian. This allows for the minimization of the free energy without corrections from the nonorthogonality of the correlated basis states, similar to that of the ground state energy. Samples of the microcanonical ensemble can be used to study the response, and the neutrino luminosities and opacities of hot matter. We present methods to orthonormalize the correlated states that contribute to the response of hot matter.
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"abstract": "We develop a variational theory of hot nuclear matter in neutron stars and\nsupernovae. It can also be used to study charged, hot nuclear matter which may\nbe produced in heavy-ion collisions. This theory is a generalization of the\nvariational theory of cold nuclear and neutron star matter based on realistic\nmodels of nuclear forces and pair correlation operators. The present approach\nuses microcanonical ensembles and the variational principle obeyed by the free\nenergy. In this paper we show that the correlated states of the microcanonical\nensemble at a given temperature $T$ and density $\\rho$ can be orthonormalized\npreserving their diagonal matrix elements of the Hamiltonian. This allows for\nthe minimization of the free energy without corrections from the\nnonorthogonality of the correlated basis states, similar to that of the ground\nstate energy. Samples of the microcanonical ensemble can be used to study the\nresponse, and the neutrino luminosities and opacities of hot matter. We present\nmethods to orthonormalize the correlated states that contribute to the response\nof hot matter.",
"arxiv_id": "nucl-th/0609058",
"authors": [
"Abhishek Mukherjee",
"V. R. Pandharipande"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.035802",
"journal_ref": "Phys.Rev.C75:035802,2007",
"title": "Variational Theory of Hot Nucleon Matter",
"url": "https://arxiv.org/abs/nucl-th/0609058"
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