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The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neutron transport, radiative transfer, semiconductors and ocean…

Mathematical Physics · Physics 2015-02-17 Jens Marklof , Andreas Strömbergsson

The proposal that core collapse supernovae are neutrino driven is still the subject of active investigation more than fifty years after the seminal paper by Colgate and White. The modern version of this paradigm, which we owe to Wilson,…

High Energy Astrophysical Phenomena · Physics 2020-10-20 Anthony Mezzacappa , Eirik Endeve , O. E. Bronson Messer , Stephen W. Bruenn

We examine simulations of core-collapse supernovae in spherical symmetry. Our model is based on general relativistic radiation hydrodynamics with three-flavor Boltzmann neutrino transport. We discuss the different supernova phases,…

High Energy Astrophysical Phenomena · Physics 2012-01-04 T. Fischer , M. Liebendörfer , F. -K. Thielemann , G. Martínez-Pinedo , B. Ziebarth , K. Langanke

The dense neutrino medium in a core-collapse supernova or a neutron-star merger event can experience fast flavor conversions on time/distance scales that are much smaller than those of vacuum oscillations. It is believed that fast neutrino…

High Energy Astrophysical Phenomena · Physics 2020-01-14 Sajad Abbar , Huaiyu Duan , Kohsuke Sumiyoshi , Tomoya Takiwaki , Maria Cristina Volpe

We introduce a new discrete-ordinate scheme for solving the general relativistic Boltzmann transport equation in the context of core-collapse supernovae. Our algorithm avoids the need to spell out the complicated advection terms in energy…

High Energy Astrophysical Phenomena · Physics 2020-06-29 Conrad Chan , Bernhard Mueller

We study the multi-dimensional properties of neutrino transfer inside supernova cores by solving the Boltzmann equations for neutrino distribution functions in genuinely six dimensional (6D) phase space. Adopting representative snapshots of…

High Energy Astrophysical Phenomena · Physics 2014-12-30 K. Sumiyoshi , T. Takiwaki , H. Matsufuru , S. Yamada

In a 1996 JRO Fellowship Research Proposal (Los Alamos), the author suggested that neutrino oscillations may provide a powerful indirect energy transport mechanism to supernovae explosions. The principal aim of this addendum is to present…

Astrophysics · Physics 2008-11-26 D. V. Ahluwalia-Khalilova

A standing problem in neutrino physics is the consistent and universal definition of oscillating neutrino states as coherent superpositions of massive neutrino states. This problem is solved in a quantum field theoretical framework of…

High Energy Physics - Phenomenology · Physics 2020-01-27 Anca Tureanu

We develop a numerical code to calculate the neutrino transfer with multi-energy and multi-angle in three dimensions (3D) for the study of core-collapse supernovae. The numerical code solves the Boltzmann equations for neutrino…

High Energy Astrophysical Phenomena · Physics 2012-03-26 Kohsuke Sumiyoshi , Shoichi Yamada

Phenomenology of neutrino oscillations in vacuum and in cosmological plasma is considered. Neutrino oscillations in vacuum are usually described in plane wave approximation. In this formalism there is an ambiguity if one should assume…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. D. Dolgov

Core-collapse supernovae are, despite their spectacular visual display, neutrino events. Virtually all of the 10^53 ergs of gravitational binding energy released in the formation of the nascent neutron star is carried away in the form of…

Astrophysics · Physics 2009-09-25 O. E. B. Messer , A. Mezzacappa , S. W. Bruenn , M. W. Guidry

Core-collapse supernovae are among Nature's grandest explosions. They are powered by the energy released in gravitational collapse and include a rich set of physical phenomena involving all fundamental forces and many branches of physics…

High Energy Astrophysical Phenomena · Physics 2011-11-29 C. D. Ott , E. P. O'Connor , B. Dasgupta

We review critically the main assumptions on which the standard theory of neutrino oscillations is based. We show that all assumptions are realistic, except the so-called "equal momentum assumption", which however is irrelevant. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carlo Giunti

We present a new derivation of the conservative form of the general relativistic Boltzmann equation and specialize it to the 3+1 metric. The resulting transport equation is intended for use in simulations involving numerical relativity,…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Christian Y. Cardall , Eirik Endeve , Anthony Mezzacappa

At the present time even the most sophisticated, multi-dimensional simulations of core-collapse supernovae do not (self-consistently) include neutrino flavor transformation. This physics is missing despite the importance of neutrinos in the…

High Energy Astrophysical Phenomena · Physics 2020-10-14 Charles J. Stapleford , Carla Fröhlich , James P. Kneller

We review various field theory approaches to the description of neutrino oscillations in vacuum and external fields. First we discuss a relativistic quantum mechanics based approach which involves the temporal evolution of massive…

High Energy Physics - Phenomenology · Physics 2015-03-17 Maxim Dvornikov

We present results from the first generation of multi-dimensional hydrodynamic core-collapse simulations in full general relativity (GR) that include an approximate treatment of neutrino transport. Using a M1 closure scheme with an analytic…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Takami Kuroda , Kei Kotake , Tomoya Takiwaki

Neutrino gases are expected to form in high density astrophysical environments, and accurately modeling their flavor evolution is critical to understanding such environments. In this work we study a simplified model of such a dense neutrino…

High Energy Physics - Phenomenology · Physics 2024-01-09 Joshua D. Martin , Duff Neill , A. Roggero , Huaiyu Duan , J. Carlson

Neutrino flavour transmutations in nonuniform matter are described by a Schr\"{o}dinger-like evolution equation with coordinate-dependent potential. In all the derivations of this equation it is assumed that the potential, which is due to…

High Energy Physics - Phenomenology · Physics 2021-03-17 Evgeny Akhmedov

A simple and computationally efficient parameterization of the deleptonization, the entropy changes, and the neutrino stress is presented for numerical simulations of stellar core collapse. The parameterization of the neutrino physics is…

Astrophysics · Physics 2009-11-10 M. Liebendoerfer