Abstract
Neutrino production, transport, and interaction is arguably the single-most important component of a core collapse supernova model. Neutrinos are believed to be responsible for powering these supernovae, in part or entirely, and their production and transport set the stage for the radiation magnetohydrodynamics of stellar core collapse and bounce, which provides the initial conditions for the post-stellar-core-bounce dynamics. Neutrino transport is governed by multidimensional, phase-space, integro-partial differential kinetic equations. The solution of these equations dominates the computational challenge in simulating this supernova class. We present the neutrino transport and neutrino radiation hydrodynamics equations involved, and their finite differencing, and briefly discuss their solution. We use the spherically symmetric (spatially one-dimensional) case to illustrate the equations and the issues involved, but give the general formalism for the spatially multidimensional case as well. We conclude by briefly discussing the implications of the now experimentally measured nonzero neutrino masses.
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References
Arnett, W. D. (1977). Astrophysical Journal 218:815.
Balescu, R. (1975). Equilibrium and Nonequilibrium Statistical Mechanics. New York: Wiley-Interscience.
Baron, E. A., Cooperstein, J., and Kahana, S. (1985). Nuclear Physics, A440:744.
Bethe, H. A. and Brown, G. (1985). Scientific American, 252:60.
Bethe, H. A. (1990). Reviews of Modern Physics, 62:801.
Bethe, H. A. and Wilson, J. R. (1985). Astrophysical Journal, 295:14.
Bowers, R. L. and Wilson, J. R. (1982). Astrophysical Journal Supplement, 50:115.
Brown, G., Bethe, H. A., and Baym, G. (1982). Nucl Phys. A, 375:481.
Bruenn, S. W. (1985). Astrophysical Journal Supplement, 58:771.
Bruenn, S. W. (1993). In Guidry, M. W. and Strayer, M. R., editors, First Symposium on Nuclear Physics in the Universe, page 31. Bristol. IOP Publishing.
Bruenn, S. W., DeNisco, K. R., and Mezzacappa, A. (2001). Astrophysical Journal, 560:326.
Bruenn, S. W. and Dineva, T. (1996). Astrophysical Journal Letters, 458:L71.
Buras, R., Rampp, ML, Janka, H.-T., and Kifonidis, K. (2003). Physical Review Letters, submitted (astro-ph/0303171).
Burrows, A. (1987). Physics Today
Burrows, A. (2003). This volume.
Burrows, A. and Goshy, J. (1993). Astrophysical Journal Letters, 416:L75.
Burrows, A., Hayes, J., and Fryxell, B. A. (1995). Astrophysical Journal, 450:830.
Burrows, A., Young, T., Pinto, P., Eastman, R., and Thompson, T. A. (2000). Astrophysical Journal, 539:865.
Cardall, C. Y. and Mezzacappa, A. (2002). Physical Review D, in press (astro-ph/0212460).
Castor, J. (1972). Astrophysical Journal, 178:779.
Colgate, S. A. and White, R. H. (1966). Astrophysical Journal, 143:626.
Cooperstein, J., Van Den Horn, L. J., and Baron, E. A. (1986). Astrophysical Journal, 309:653.
Fryer, C. L. and Heger, A. (2000). Astrophysical Journal, 541:1033.
Fryer, C. L. and Warren, M. S. (2002). Astrophysical Journal, 574:L65.
Fuller, G. M., Mayle, R., Meyer, B. S., and Wilson, J. R. (1992). Astrophysical Journal, 389:517.
Herant, M., Benz, W., Hix, W. R., Fryer, C. L., and Colgate, S. A. (1994). Astrophysical Journal, 435:339.
Hillebrandt, W., Nomoto, K., and Wolff, R. (1984). Astronomy and Astrophysics, 133:175.
Janka, H.-T. (2003). This volume.
Janka, H.-T. and Müller, E. (1996). Astronomy and Astrophysics, 306:167.
Levermore, C. D. and Pomraning, G. C. (1981). Astrophysical Journal, 248:321.
Lewis, E. and Miller, W. (1984). Computational Methods of Neutron Transport. New York: Wiley-Interscience.
Liebendorfer, M., Mezzacappa, A., Thielemann, E, Messer, O. E., Hix, W. R., and Bruenn, S. W. (2001). Physical Review D, 63:103004.
Liebendoerfer, M., Rampp, M., Janka, H.-T., and Mezzacappa, A. (2003). In preparation.
Liebendorfer, M. (2000). PhD thesis, University of Basel, Basel, Switzerland.
MacFadyen, A. I. and Woosley, S. E. (1999). Astrophysical Journal, 524:262.
Mezzacappa, A. and Bruenn, S. W. (1993a). Astrophysical Journal, 405:669.
Mezzacappa, A. and Bruenn, S. W. (1993b). Astrophysical Journal, 405:637.
Mezzacappa, A. and Bruenn, S. W. (1999). In Spooner, N. J. C. and Kudryavtsev, V., editors, The Identification of Dark Matter, page 655. World Scientific, Singapore.
Mezzacappa, A., Calder, A. C., Bruenn, S. W., Blondin, J. M., Guidry, M. W., Strayer, M. R., and Umar, A. S. (1998a). Astrophysical Journal 493:848.
Mezzacappa, A., Calder, A. C., Bruenn, S. W., Blondin, J. M., Guidry, M. W., Strayer, M. R., and Umar, A. S. (1998b). Astrophysical Journal, 495:911.
Mezzacappa, A., Liebendorfer, M., Messer, O. E., Hix, W. R., Thielemann, F., and Bruenn, S. W. (2001). Physical Review Letters, 86:1935.
Mihalas, D. and Mihalas, B.. (1975). Foundations of Radiation Hydrodynamics. New York: Oxford University Press.
Mueller, E. (1991). In de Loore, C., editor, Late Stages of Stellar Evolution: Computational Methods in Astrophysical Hydrodynamics, page 97. Heidelberg: Springer-Verlag.
Myra, E. S., Bludman, S. A., Hoffman, Y., Lichtenstadt, I., Sack, N., and Van Riper, K. A. (1987). Astrophysical Journal, 318:744.
Rampp, M. and Janka, H.-T. (2000). Astrophysical Journal, 539:L33.
Rampp, M. and Janka, H.-T. (2002). Astronomy and Astrophysics, 396:361.
Shapiro, S. and Teukolsky, S. (1983). Black Holes, White Dwarfs, and Neutron Stars. New York: Wiley-Interscience.
Swesty, F. and Lattimer, J. (1994). Astrophysical Journal, 425:195.
Symbalisty, E. M. D. (1984). Astrophysical Journal, 285:729.
Thompson, T., Burrows, A., and Pinto, P. (2002). Astrophysical Journal, in press (astro-ph/0211194).
Van Riper, K. A. and Lattimer, J. M. (1981). Astrophysical Journal, 249:270.
Wilson, J. R. (1985). In Centrella, J. M., LeBlanc, J. M., and Bowers, R. L., editors, Numerical Astrophysics, page 422. Boston. Jones and Bartlett.
Wilson, J. R. and Mayle, R. W. (1993). Physics Reports, 227:97.
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Mezzacappa, A., Liebendörfer, M., Cardall, C.Y., Messer, O.E.B., Bruenn, S.W. (2004). Neutrino Transport in Core Collapse Supernovae. In: Fryer, C.L. (eds) Stellar Collapse. Astrophysics and Space Science Library, vol 302. Springer, Dordrecht. https://doi.org/10.1007/978-0-306-48599-2_4
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DOI: https://doi.org/10.1007/978-0-306-48599-2_4
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