Cold Quark Matter Equation of State

by Aleksi Kurkela, Paul Romatschke and Aleksi Vuorinen

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Equation of State: Numerics

  1. Tabulated EoS using our results of our article can be generated using this Mathematica 7 file: EoScalc.

  2. Using these tabulated EoS, astrophysics results are readily generated using this Mathematica 7 file: EoSeval .

  3. For completeness, we also provide the C++ code that was used to numerically evaluate the integrals I5,I6,I7 in our calculation here.
We will try to maintain and update these files (currently version 1.0). If you have trouble using them or discover an error please send us an email.

Equation of State: Tabulated Results

  1. Case I Matching: Lambda_Msbar=0.378 GeV, m_s=0.07 GeV, Lambdabar=4 mu, Delta=0, B^1/4=89 MeV (matching at baryon mu_pt=976 MeV)
  2. Case I Matching: Lambda_Msbar=0.346 GeV, m_s=0.07 GeV, Lambdabar=4 mu, Delta=0, B^1/4=92 MeV (matching at baryon mu_pt=987 MeV)
  3. Case I Matching: Lambda_Msbar=0.378 GeV, m_s=0.1 GeV, Lambdabar=4 mu, Delta=0.1 GeV, B^1/4=113 MeV (matching at baryon mu_pt=996 MeV)
  4. Case I Matching: Lambda_Msbar=0.346 GeV, m_s=0.07 GeV, Lambdabar=4 mu, Delta=0.1 GeV, B^1/4=110 MeV (matching at baryon mu_pt=1040 MeV)

NOTE: For automation purposes the value of mu_0(Lambdabar) in Eq.(70) of our paper has been set to a common value (0.31 GeV) for all of the above EoS, rather than the value of mu where the total quark number density vanishes. The difference between these definitions amounts to a redefinition of B. The quoted values for B above are for mu_0=0.31 GeV.

More tabulated EoS (case II matching and pure strange matter) will be made available soon.

For Comparison: Hadronic Matter Equations of State

  1. Nuclear Matter, based on an article by A. Akmal, V.R. Pandharipande and D.G. Ravenhall, converted from an article by J.M. Lattimer and M. Prakash, (original).
  2. Nuclear Matter+ Hyperons, converted from an article by H.-J. Schulze, A. Polls, A. Ramos and I. Vidaña (V18, UIX, NSC89) (original).
  3. Nuclear Matter+Kaon Condensation, based on an article by N. K. Glendenning and J. Schaffner-Bielich, converted from an article by J.M. Lattimer and M. Prakash, (original).
For questions & comments please contact A. Kurkela via email: "kurkela AT phys.ethz.ch"

Last update: 02.03.2010