TY - JOUR

T1 - Generalized Kompaneets formalism for inelastic neutrino-nucleon scattering in supernova simulations

AU - Wang, Tianshu

AU - Burrows, Adam

N1 - Funding Information:
The authors acknowledge discussions with Josh Dolence and David Vartanyan. A. B. acknowledges support from the U.S. Department of Energy Office of Science and the Office of Advanced Scientific Computing Research via the Scientific Discovery through Advanced Computing (SciDAC4) program and Award No. DE-SC0018297 (subaward 00009650) and support from the U.S. NSF under Grants No. AST-1714267 and No. PHY-1804048 (the latter via the Max-Planck/Princeton Center for Plasma Physics). An award of computer time was provided by the INCITE program using resources of the Argonne Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract No. DE-AC02-06CH11357. Finally, the authors note that they employed computational resources provided by the TIGRESS high performance computer center at Princeton University, which is jointly supported by the Princeton Institute for Computational Science and Engineering and the Princeton University Office of Information Technology.
Publisher Copyright:
© 2020 American Physical Society.

PY - 2020/7/15

Y1 - 2020/7/15

N2 - Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve lepton number to machine precision and scale linearly, not quadratically, with number of energy groups. The formalism also provides an elegant means to derive the rate of energy transfer to matter which, as it must, automatically goes to zero when the neutrino radiation field is in thermal equilibrium. Furthermore, we derive the next higher order in µ/mc2 correction to the neutrino Kompaneets equation. Unlike other Kompaneets schema, ours also generalizes to the case of anisotropic angular distributions, while retaining the conservative form that is a hallmark of the classical Kompaneets equation. Our formalism enables immediate incorporation into supernova codes that follow the spectral angular moments of the neutrino radiation fields.

AB - Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve lepton number to machine precision and scale linearly, not quadratically, with number of energy groups. The formalism also provides an elegant means to derive the rate of energy transfer to matter which, as it must, automatically goes to zero when the neutrino radiation field is in thermal equilibrium. Furthermore, we derive the next higher order in µ/mc2 correction to the neutrino Kompaneets equation. Unlike other Kompaneets schema, ours also generalizes to the case of anisotropic angular distributions, while retaining the conservative form that is a hallmark of the classical Kompaneets equation. Our formalism enables immediate incorporation into supernova codes that follow the spectral angular moments of the neutrino radiation fields.

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U2 - 10.1103/PhysRevD.102.023017

DO - 10.1103/PhysRevD.102.023017

M3 - Article

AN - SCOPUS:85088631133

SN - 2470-0010

VL - 102

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 023017

ER -