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Equations of State for Simulations of Supernovae, Neutron Stars and Binary Mergers

Muccioli, Brian S.,
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1469610808

Abstract Details

2016, Doctor of Philosophy (PhD), Ohio University, Physics and Astronomy (Arts and Sciences).
We investigate the thermal properties of hot and dense matter using the potential model of Akmal, Pandharipande and Ravenhall (APR) as well as the finite-range model of Das et al. (MDI), and contrast their results with the conventional zero-range Skyrme models. We study the role of the pion condensate at supra-nuclear densities which is implicitly included in the APR force. For both models, we treat the bulk homogeneous phase for iso-spin asymmetries ranging from symmetric nuclear matter to pure neutron matter, and for temperatures relevant for simulations of core collapse supernovae, neutron stars and binary mergers. A highlight of this work is its focus on thermal response functions in the degenerate and non-degenerate limits, which provide analytical checks for the numerical calculations performed for arbitrary degeneracy. Additionally, analytic formulas in Fermi liquid theory for next-to-leading order temperature corrections to the thermal state variables of interacting nucleons are derived in the degenerate limit. We consider the general case of arbitrary dimensionality of momentum space. Including this correction extends the region in density and temperature for which the degenerate limit is in good agreement with the exact numerical results. Furthermore, we investigate the inhomogeneous phases of matter at finite temperatures using the APR force. We tabulate the resulting equation of state for use in large scale simulations of supernovae, neutron stars and binary mergers. Altogether, this work provides a complete description of nuclear matter relevant for simulations of astrophysical phenomena involving neutron stars from their birth to old age.
Madappa Prakash (Advisor)
342 p.
Astrophysics; Nuclear Physics; Physics
Equation of state; Supernovae; Neutron Stars; APR

Recommended Citations

Citations

  • Muccioli, , B. S. (2016). Equations of State for Simulations of Supernovae, Neutron Stars and Binary Mergers [Doctoral dissertation, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1469610808

    APA Style (7th edition)

  • Muccioli, , Brian. Equations of State for Simulations of Supernovae, Neutron Stars and Binary Mergers. 2016. Ohio University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1469610808.

    MLA Style (8th edition)

  • Muccioli, , Brian. "Equations of State for Simulations of Supernovae, Neutron Stars and Binary Mergers." Doctoral dissertation, Ohio University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1469610808

    Chicago Manual of Style (17th edition)

ohiou1469610808
618
© 2016, all rights reserved.
This open access ETD is published by Ohio University and OhioLINK.