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We present results from the first generation of multi-dimensional general relativistic neutrino hydrodynamics simulations of core-collapse supernovae. A comparison with models computed using either the purely Newtonian approximation or the…

Solar and Stellar Astrophysics · Physics 2011-12-09 Bernhard Mueller , Andreas Marek , Hans-Thomas Janka , Harald Dimmelmeier

We consider neutrino oscillations in non-uniform matter in a quantum field theoretic (QFT) approach, in which neutrino production, propagation and detection are considered as a single process. We find the conditions under which the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Evgeny Kh. Akhmedov , Alina Wilhelm

This article introduces a conservative formulation of the Standard Enskog equation and the Povzner equation, both of which generalize the Boltzmann equation by incorporating the contribution of particle volume in collisions. The primary…

Analysis of PDEs · Mathematics 2025-12-02 Zhe Chen

This work explores how the generalized uncertainty principle, a theoretical modification of the Heisenberg uncertainty principle inspired by quantum gravity, affects neutrino flavor oscillations. By extending the standard two-flavor…

High Energy Physics - Phenomenology · Physics 2025-09-18 Kartik Joshi , Sanjib Dey , Satyajit Jena

Quantum gravity models predict a minimal measurable length which gives rise to a modification in the uncertainty principle. One of the simplest manifestations of these generalised uncertainty principles is the linear quadratic generalised…

High Energy Physics - Phenomenology · Physics 2023-05-23 Indra Kumar Banerjee , Ujjal Kumar Dey

With the Boltzmann-radiation-hydrodynamics code, which we have developed to solve numerically the Boltzmann equations for neutrino transfer, the Newtonian hydrodynamics equations, and the Newtonian self-gravity simultaneously and…

High Energy Astrophysical Phenomena · Physics 2019-03-08 Akira Harada , Hiroki Nagakura , Wakana Iwakami , Hirotada Okawa , Shun Furusawa , Hideo Matsufuru , Kohsuke Sumiyoshi , Shoichi Yamada

We provide exact analytic expressions for the density, pressure, average number density and pseudo-pressure for massive neutrinos and generic dark matter particles, both fermions and bosons. We then focus on massive neutrinos and we compare…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-30 Rubén Arjona , Wilmar Cardona , Savvas Nesseris

We construct a new perturbative framework to describe neutrino oscillation in matter with the unique expansion parameter \epsilon, which is defined as \Delta m^2_{21} / \Delta m^2_{ren} with the renormalized atmospheric \Delta m^2_{ren}…

High Energy Physics - Phenomenology · Physics 2015-12-23 Hisakazu Minakata

Neutrino-matter interactions play an important role in the post-merger evolution of neutron star-neutron star and black hole-neutron star mergers. Most notably, they determine the properties of the bright optical/infrared transients…

High Energy Astrophysical Phenomena · Physics 2018-09-19 Francois Foucart , Matthew D. Duez , Lawerence E. Kidder , Ronny Nguyen , Harald P. Pfeiffer , Mark A. Scheel

The oscillations of ultra-relativistic neutrinos are realized by the propagation of assumed zero-mass on-shell neutrinos with the speed of light in vacuum combined with the phase modulation by the small mass term…

High Energy Physics - Phenomenology · Physics 2024-05-08 Kazuo Fujikawa

Neutrino spin and flavour oscillation in curved spacetime have been studied for the most general static spherically symmetric configuration. Using the symmetry properties we have derived spin oscillation frequency for neutrino moving along…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Sumanta Chakraborty

With exact three-flavor Boltzmann neutrino transport, we simulate the stellar core collapse, bounce, and postbounce evolution of a 13 solar mass star in spherical symmetry, the Newtonian limit, without invoking convection. In the absence of…

We report on the core-collapse supernova simulation we conducted for a 11.2 M progenitor model in three-dimensional space up to 20 ms after bounce, using a radiation hydrodynamics code with full Boltzmann neutrino transport. We solve the…

High Energy Astrophysical Phenomena · Physics 2020-11-11 Wakana Iwakami , Hirotada Okawa , Hiroki Nagakura , Akira Harada , Shun Furusawa , Kosuke Sumiyoshi , Hideo Matsufuru , Shoichi Yamada

Recent theoretical work indicates that the neutrino radiation in core-collapse supernovae may be susceptible to flavor instabilities that set in far behind the shock, grow extremely rapidly, and have the potential to profoundly affect…

High Energy Physics - Phenomenology · Physics 2020-02-18 Lucas Johns , Hiroki Nagakura , George M. Fuller , Adam Burrows

Models of spontaneous wave function collapse have been postulated to address the measurement problem in quantum mechanics. Their primary function is to convert coherent quantum superpositions into incoherent ones, with the result that…

High Energy Physics - Phenomenology · Physics 2024-05-08 B. J. P. Jones , O. H. Seidel

The flavor evolution of neutrinos in environments with large neutrino number densities is an open problem at the nexus of astrophysics and neutrino flavor physics. Among the many unanswered questions pertaining to this problem, it remains…

Nuclear Theory · Physics 2022-12-21 Denis Lacroix , A. B. Balantekin , Michael J. Cervia , Amol V. Patwardhan , Pooja Siwach

We develop an exact analytical formulation of neutrino oscillations in matter within the framework of the Standard Neutrino Model assuming 3 Dirac Neutrinos. Our Hamiltonian formulation, which includes CP violation, leads to expressions for…

High Energy Physics - Phenomenology · Physics 2016-06-14 Mikkel B. Johnson , Ernest M. Henley , Leonard S. Kisslinger

The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start from the standard Boltzmann equation, averaging over frequencies leads to appearance of fractional derivative. This fact is in accordance…

Plasma Physics · Physics 2010-08-27 Vladimir V. Uchaikin , Renat T. Sibatov

We have developed an implicit, multi-group, time-dependent, spherical neutrino transport code based on the Feautrier variables, the tangent-ray method, and accelerated ${\bf \Lambda}$ iteration. The code achieves high angular resolution, is…

Astrophysics · Physics 2009-10-31 A. Burrows , T. Young , P. A. Pinto , R. Eastman , T. Thompson

We investigate the neutrino flavor change effects due to neutrino self-interaction, shock wave propagation as well as matter effect on the neutrino-process of the core-collapsing supernova (CCSN). For the hydrodynamics, we use two models: a…