J/ApJS/197/20 Relativistic EOS for core-collapse SN simulations (Shen+, 2011)
Relativistic equation of state for core-collapse supernova simulations.
Shen H., Toki H., Oyamatsu K., Sumiyoshi K.
<Astrophys. J. Suppl. Ser., 197, 20 (2011)>
=2011ApJS..197...20S 2011ApJS..197...20S
ADC_Keywords: Models ; Supernovae
Keywords: equation of state - stars: neutron - supernovae: general
Abstract:
We construct the equation of state (EOS) of dense matter covering a
wide range of temperature, proton fraction, and density for the use of
core-collapse supernova simulations. The study is based on the
relativistic mean-field (RMF) theory, which can provide an excellent
description of nuclear matter and finite nuclei. The Thomas-Fermi
approximation in combination with assumed nucleon distribution
functions and a free energy minimization is adopted to describe the
non-uniform matter, which is composed of a lattice of heavy nuclei. We
treat the uniform matter and non-uniform matter consistently using the
same RMF theory. We present two sets of EOS tables, namely EOS2 and
EOS3. EOS2 is an update of our earlier work published in 1998 (EOS1;
see 1998NuPhA.637..435S 1998NuPhA.637..435S and 1998PThPh.100.1013S 1998PThPh.100.1013S), where only the
nucleon degree of freedom is taken into account. EOS3 includes
additional contributions from Λ hyperons. The effect of
Λ hyperons on the EOS is negligible in the low-temperature and
low-density region, whereas it tends to soften the EOS at high
density. In comparison with EOS1, EOS2 and EOS3 have an improved
design of ranges and grids, which covers the temperature range
T=0.1-102.6MeV with the logarithmic grid spacing
δlog10(T/[MeV])=0.04 (92 points including T=0), the proton
fraction range Yp=0-0.65 with the linear grid spacing
ΔYp=0.01 (66 points), and the density range
ρB=105.1-1016g/cm3 with the logarithmic grid spacing
Δlog10(ρB/[g/cm3])=0.1 (110 points).
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table3.dat 233 650650 *The main EOS table of EOS2
table4.dat 233 7150 *The table of EOS2 for T=0
table5.dat 233 10120 *The table of EOS2 for Yp=0
table6.dat 261 650650 *The main EOS table of EOS3
table7.dat 261 7150 *The table of EOS3 for T=0
table8.dat 261 10120 *The table of EOS3 for Yp=0
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Note on table3.dat : It covers the temperature range T=10-1 to 102.6MeV with
the logarithmic grid spacing Δlog10(T/[MeV])=0.04 (91 points), the
proton fraction range Yp=0.01 to 0.65 with the logarithmic grid spacing
ΔYp=0.01 (65 points).
Note on table4.dat and table7.dat : It covers the proton fraction range
Yp=0.01 to 0.65 with the linear grid spacing ΔYp=0.01 (65 points)
and the density range ρB=105.1 to 1016[g/cm3] with the logarithmic
grid spacing Δlog10(ρB/[g/cm3])=0.1 (110 points).
Note on table5.dat and table8.dat: It covers the temperature range T=10-1 to
102.6MeV with the logarithmic grid spacing Δlog10(T/[MeV])=0.04
(92 points including T=0) and the density range ρB=105.1 to
1016[g/cm3] with the logarithmic grid spacing
Δlog10(ρB/[g/cm3])=0.1 (110 points).
Note on table6.dat: The main EOS table of EOS3, which has the same ranges and
grids for T, Yp, and ρB as the one of EOS2 given in Table 3. Comparing
with EOS2, two additional columns are included, which are the effective
Λ mass M*Λ and the Λ fraction XΛ.
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See also:
J/ApJ/416/276 : Eq. of State in Magnetic Neutron Stars (Rognvaldsson+ 1993)
Byte-by-byte Description of file: table[345].dat
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Bytes Format Units Label Explanations
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1- 13 E13.6 [MeV] logT [-1,2.6]?=-100 Log of the Temperature
15- 26 E12.6 MeV T [0/400] Temperature
28- 36 E9.3 [g/cm3] logpB [5.1/16] Log of baryon mass density
38- 49 E12.6 fm-3 nB Baryon number density
51- 59 E9.3 --- Yp [0/1] Proton fraction
61- 73 E13.6 MeV F Free energy per baryon (G1)
75- 87 E13.6 MeV Eint Internal energy per baryon (G2)
89-100 E12.6 --- S/k Entropy per baryon (in units of Boltzmann's k)
102-113 E12.6 --- A Mass number of heavy nucleus
115-126 E12.6 --- Z Charge number of heavy nucleus
128-139 E12.6 MeV M*N Effective nucleon mass
141-152 E12.6 --- Xn [0/1] Free neutron fraction
154-165 E12.6 --- Xp [0/1] Free proton fraction
167-178 E12.6 --- Xa [0/1] α-particle fraction
180-191 E12.6 --- XA [0/1] heavy nucleus fraction
193-205 E13.6 MeV/fm3 P Pressure
207-219 E13.6 MeV mun Chemical potential of the neutron (G3)
221-233 E13.6 MeV mup Chemical potential of the proton (G3)
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Byte-by-byte Description of file: table[678].dat
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Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 13 E13.6 [MeV] logT [-1,2.6]?=-100 Log of the Temperature
15- 26 E12.6 MeV T [0/400] Temperature
28- 36 E9.3 [g/cm3] logpB [5.1/16] Log of baryon mass density
38- 49 E12.6 fm-3 nB Baryon number density
51- 59 E9.3 --- Yp [0/1] Proton fraction
61- 73 E13.6 MeV F Free energy per baryon (G1)
75- 87 E13.6 MeV Eint Internal energy per baryon (G2)
89-100 E12.6 --- S/k Entropy per baryon (in units of Boltzmann's k)
102-113 E12.6 --- A Mass number of heavy nucleus
115-126 E12.6 --- Z Charge number of heavy nucleus
128-140 E13.6 MeV M*N Effective nucleon mass
142-154 E13.6 --- Xn [-0.5/1] Free neutron fraction
156-167 E12.6 --- Xp [0/1] Free proton fraction
169-180 E12.6 --- Xa [0/1] Alpha-particle fraction
182-193 E12.6 --- XA [0/1] heavy nucleus fraction
195-207 E13.6 MeV/fm3 P Pressure
209-221 E13.6 MeV mun Chemical potential of the neutron (G3)
223-235 E13.6 MeV mup Chemical potential of the proton (G3)
237-248 E12.6 MeV M*L Effective Λ hyperion mass
250-261 E12.6 --- XL [0/1.5] Λ hyperion fraction
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Global Notes:
Note (G1): Free energy per baryon relative to the free nucleon mass.
Note (G2): Internal energy per baryon relative to the atomic mass unit.
Note (G3): Chemical potential relative to the free nucleon mass.
History:
From electronic version of the journal
(End) Greg Schwarz [AAS], Emmanuelle Perret [CDS] 11-Jan-2012