All equations of state inherit from eos (except for the TOV solver tov_solve and cold_nstar). The hal_eos
library contains all of the classes mentioned in this documentation.
hadronic_eos includes several methods that can be used to calculate the saturation properties of nuclear matter. These methods are sometimes overloaded in descendants when exact formulas are available.
There is also a set of classes to modify the quartic term of the symmetry energy: rmf4_eos, apr4_eos, skyrme4_eos, and mdi4_eos all based on sym4_eos_base which can be used in sym4_eos.
This is still experimental.
This is still experimental.
The entropy is
The low-temperature (degenerate) approximation to the entropy is
where the density of states at the Fermi surface is
where the Fermi velocity is
The latter equation defines the effective mass. The level density parameter is given by
Defining the Fermi temperature:
another expression for the entropy is
Expressions for the remaining quantities are
Typically, the leading correction to
is of order unless soft collective modes give rise to a
correction.
At high temperature (non-degenerate approximation), a stationary phase approximation gives
where is the spin and isospin degeneracy and the velocity function is
. The function
is evaluated at momentum
which is obtained by solving
. The chemical potential is obtained by inverting the above relation for
:
From this value of we can derive the entropy density using
Using the stationary phase method:
where is the solution of
This provides a first approximation to the energy and together with the thermodynamic identity gives the pressure.
non_interacting
for the particle inputs. This is not very graceful... Document the "n15" models. What where they for?
Akmal98: Akmal, Pandharipande, and Ravenhall, Phys. Rev. C 58, 1804 (1998).
Bartel79: J. Bartel, P. Quentin, M. Brack, C. Guet, and Håkansson, Nucl. Phys. A 386 (1982) 79.
Baym71: G. Baym, C. Pethick, and P. Sutherland, Astrophys. J. 170 (1971) 299.
Beiner75: M. Beiner, H. Flocard, Nguyen van Giai, and P. Quentin, Nucl. Phys. A 238 (1975) 29.
Bernard88: V. Bernard, R.L. Jaffe, and U.-G. Meissner, Nucl. Phys. B 308 (1988) 753.
Bombaci01: I. Bombaci, "Equation of State for Dense Isospin Asymmetric Nuclear Matter for Astrophysical Applications Equation of State for Isospin-Asymmetric Nuclear Matter and Neutron Star Properties", in "Isospin physics in heavy-ion collisions at intermediate energies" ed. by B-A. Li and W. U. Schröder (2001) Nova Science, New York.
Brack85: M. Brack, C. Guet, and H.-B. Håkansson Phys. Rep. 123 (1985) 275.
Buballa99: M. Buballa and M. Oertel, Phys. Lett. B 457 (1999) 261.
Buballa04: M. Buballa, Phys. Rep. 407 (2005) 205-376.
Chabanat95: E. Chabanat, Ph. D. Thesis 1995
Chabanat97: E. Chabanat, J. Meyer, P. Bonche, R. Schaeffer, and P. Haensel, Nucl. Phys. A 627 (1997) 710.
Das03: C.B. Das, S. Das Gupta, C. Gale, and B.-A. Li, Phys. Rev. C 67 (2003) 034611.
Dobaczewski94: J. Dobaczewski, H. Flocard, and J. Treiner, Nucl. Phys. A 422 (1984) 103.
Dutta86: A.K.Dutta, J.-P.Arcoragi, J.M.Pearson, R.Behrman, F.Tondeur, Nucl. Phys. A 458 (1986) 77.
Friedrich86: J. Friedrich, and P.-G. Reinhard, Phys. Rev. C 33 (1986) 335.
Gale87: C. Gale, G. Bertsch, and S. Das Gupta, Phys. Rev. C 35 (1986) 1666.
Hatsuda94: T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
Horowitz01: Horowitz and Piekrewicz, Phys. Rev. Lett. 86 (2001) 5647.
Margueron02: J. Margueron, J. Navarro, and N.V. Giai, Phys. Rev. C 66 (2002) 014303.
Muller96: H. Muller and B. D. Serot, Nucl. Phys. A 606 (1996), 508.
Osni94: M. Onsi, H. Przysiezniak, J.M. Pearson, Phys. Rev. C 50 (1994) 460.
Pethick95: C.J. Pethick, D.G. Ravenhall, and C.P. Lorenz, Nucl. Phys. A 584 (1995) 675.
Prakash87: M. Prakash, T.L. Ainsworth, J.P. Blaizot, and H. Wolter, in Windsurfing the Fermi Sea, Volume II edited by T.T.S. Kuo and J. Speth, Elsevier 1987, pg. 357.
Prakash88: M. Prakash, T. L. Ainsworth, and J. M. Lattimer, Phys. Rev. Lett. 61 (1988) 2518.
Prakash97: Madappa Prakash, I. Bombaci, Manju Prakash, P.J. Ellis, J.M. Lattimer, and R. Knorren, Phys. Rep. 280 (1997) 1.
Reinhard95: P.-G. Reinhard and H. Flocard, Nucl. Phys. A 584 (1995) 467.
Reinhard99: P.-G. Reinhard, D.J. Dean, W. Nazarewicz, J. Dobaczewski, J.A. Maruhn, M.R. Strayer, Phys. Rev. C 60, (1999) 014316.
Shapiro83: S. L. Shapiro and S. A. Teukolsky, "Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects", John Wiley and Sons, New York, 1983.
Tondeur84: F. Tondeur, M. Brack, M. Farine, and J.M. Pearson, Nucl. Phys. A 420 (1984) 297.
Typel99: S. Typel and H. H. Wolter, Nucl. Phys. A 656 (1999) 331.
VanGiai81: Nguyen van Giai and H. Sagawa, Phys. Lett. B 106 (1981) 379.
Zimanyi90: Zimanyi and Moszkowski, Phys. Rev. C 42 (1990) 1416.
Documentation generated with Doxygen and provided under the GNU Free Documentation License. See License Information for details.
Project hosting provided by
,
O2scl Sourceforge Project Page