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Related papers: BGK subgrid model for neutrino quantum kinetics

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The small energy exchange via nucleon recoils in neutrino-nucleon scattering is now supposed to be one of the important factors for successful explosion of core-collapse supernovae (CCSNe) as they can change neutrino spectra through…

High Energy Astrophysical Phenomena · Physics 2020-07-08 Chinami Kato , Hiroki Nagakura , Yusuke Hori , Shoichi Yamada

We present results from simulations of core-collapse supernovae in FLASH using a newly-implemented multidimensional neutrino transport scheme and a newly-implemented general relativistic (GR) treatment of gravity. We use a two-moment method…

High Energy Astrophysical Phenomena · Physics 2018-04-09 Evan O'Connor , Sean Couch

Collective neutrino oscillations are typically studied using the lowest-order quantum kinetic equation, also known as the mean-field approximation. However, some recent quantum many-body simulations suggest that quantum entanglement among…

High Energy Physics - Phenomenology · Physics 2024-05-30 Anson Kost , Lucas Johns , Huaiyu Duan

A non-perturbative analysis of the Bhatnagar-Gross-Krook (BGK) model kinetic equation for finite values of the Knudsen number is presented. This analysis indicates why discrete kinetic versions of the BGK equation, and notably the Lattice…

Statistical Mechanics · Physics 2009-11-11 Mauro Sbragaglia , Sauro Succi

The quantum kinetic evolution of neutrinos in dense environments, such as the core-collapse supernovae or the neutron star mergers, can result in fast flavor conversion (FFC), presenting a significant challenge to achieving robust…

High Energy Astrophysical Phenomena · Physics 2025-02-10 Zewei Xiong , Meng-Ru Wu , Manu George , Chun-Yu Lin

The numerical approximation of the Boltzmann collision operator presents significant challenges arising from its high dimensionality, nonlinear structure, and nonlocal integral form. In this work, we propose a Fourier Neural Operator (FNO)…

Numerical Analysis · Mathematics 2025-10-16 Boyun Hu , Kunlun Qi

In this article we focus on kinetic equations for gas mixtures since in applications one often has to deal with mixtures instead of a single gas. In particular we consider an approximation of the Boltzmann equation, the…

Analysis of PDEs · Mathematics 2022-03-30 Marlies Pirner , Sandra Warnecke

Neutrinos play a crucial role in the core-collapse supernova (CCSN) explosion mechanism. The requirement of accurately calculating the transport of neutrinos makes simulations of the CCSN mechanism extremely challenging and computationally…

High Energy Astrophysical Phenomena · Physics 2018-12-05 Kuo-Chuan Pan , Carlos Mattes , Evan P. O'Connor , Sean M. Couch , Albino Perego , Almudena Arcones

In this paper, we present a new class of conservative semi-Lagrangian schemes for kinetic equations. They are based on the conservative reconstruction technique introduced in [S. Y. Cho, et al., Conservative semi-Lagrangian schemes for…

Numerical Analysis · Mathematics 2021-04-07 Seung Yeon Cho , Sebastiano Boscarino , Giovanni Russo , Seok-Bae Yun

Neutrino quantum kinetics is a rapidly evolving field in computational astrophysics, with a primary focus on collective neutrino oscillations in core-collapse supernovae and post-merger phases of binary neutron star mergers. In recent…

High Energy Astrophysical Phenomena · Physics 2025-01-30 Hiroki Nagakura , Masamichi Zaizen , Jiabao Liu , Lucas Johns

In this paper, we present results from a simulation of stellar core collapse, bounce, and postbounce evolution with Boltzmann neutrino transport. We motivate the development of our Boltzmann solver in light of the sensitivity of the…

Astrophysics · Physics 2009-10-31 A. Mezzacappa

In a recent paper we presented a new ultra efficient numerical method for solving kinetic equations of the Boltzmann type (G. Dimarco, R. Loubere, Towards an ultra efficient kinetic scheme. Part I: basics on the 689 BGK equation, J. Comp.…

Numerical Analysis · Mathematics 2015-06-12 Giacomo Dimarco , Raphaël Loubere

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 overwhelming evidence that the core collapse supernova mechanism is inherently multidimensional, the complexity of the physical processes involved, and the increasing evidence from simulations that the explosion is marginal presents…

Quantum decoherence, the evolution of pure states into mixed states, may be a feature of quantum-gravity models. In most cases, such models lead to fewer neutrinos of all active flavours being detected in a long baseline experiment as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nick E. Mavromatos , Anselmo Meregaglia , Andre Rubbia , Alexander Sakharov , Sarben Sarkar

Quantum gravity may involve models with stochastic fluctuations of the associated metric field, around some fixed background value. Such stochastic models of gravity may induce decoherence for matter propagating in such fluctuating space…

High Energy Physics - Phenomenology · Physics 2009-07-22 Alexander Sakharov , Nick Mavromatos , Anselmo Meregaglia , Andre Rubbia , Sarben Sarkar

We present results from a new set of 3D general-relativistic hydrodynamic simulations of rotating iron core collapse. We assume octant symmetry and focus on axisymmetric collapse, bounce, the early postbounce evolution, and the associated…

High Energy Astrophysical Phenomena · Physics 2013-05-30 C. D. Ott , E. Abdikamalov , E. O'Connor , C. Reisswig , R. Haas , P. Kalmus , S. Drasco , A. Burrows , E. Schnetter

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

The unified gas kinetic scheme (UGKS) was initially designed to address multiscale challenges in rarefied gas dynamics and then extended to radiative transfert theory, as described by BGK like relaxation models. In this work, we extend its…

Numerical Analysis · Mathematics 2025-07-08 Julien Mathiaud , Luc Mieussens , Nicolas Crouseilles

We perform axisymmetric (2D) multi-angle, multi-group neutrino radiation-hydrodynamic calculations of the postbounce phase of core-collapse supernovae using a genuinely 2D discrete-ordinate (S_n) method. We follow the long-term postbounce…

Astrophysics · Physics 2010-11-11 Christian D. Ott , Adam Burrows , Luc Dessart , Eli Livne