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This paper continues our treatment of the Neutron Transport Equation (NTE) building on the work in [arXiv:1809.00827v2], [arXiv:1810.01779v4] and [arXiv:1901.00220v3], which describes the flux of neutrons through inhomogeneous fissile…

Probability · Mathematics 2021-10-11 Alexander M. G. Cox , Simon C. Harris , Andreas E. Kyprianou , Minmin Wang

Monte Carlo statistical ray-tracing methods are commonly employed to simulate carrier transport in nanostructured materials. In the case of a large degree of nanostructuring and under linear response (small driving fields), these…

Mesoscale and Nanoscale Physics · Physics 2023-02-09 Pankaj Priyadarshi , Neophytos Neophytou

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be…

Nuclear Theory · Physics 2010-04-06 G. Hupin , D. Lacroix

We present our new general relativistic Monte Carlo (MC)-based neutrino radiation hydrodynamics code designed to solve axisymmetric systems with several improvements. The main improvements are as follows: (i) the development of an extended…

High Energy Astrophysical Phenomena · Physics 2024-12-02 Kyohei Kawaguchi , Sho Fujibayashi , Masaru Shibata

We present an extensive study of the effects of neutrino transport in 3-dimensional general relativistic radiation hydrodynamics (GRHD) simulations of binary neutron star (BNS) mergers using our moment-based, energy-integrated neutrino…

High Energy Astrophysical Phenomena · Physics 2023-11-23 Pedro Luis Espino , David Radice , Francesco Zappa , Rossella Gamba , Sebastiano Bernuzzi

Merging galaxy clusters have become one of the most important probes of dark matter, providing evidence for dark matter over modified gravity and even constraints on the dark matter self-interaction cross-section. To properly constrain the…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-23 William A. Dawson

We present the new Guided Moments ($\texttt{GM}$) formalism for neutrino modeling in astrophysical scenarios like core-collapse supernovae and neutron star mergers. The truncated moments approximation ($\texttt{M1}$) and Monte-Carlo…

High Energy Astrophysical Phenomena · Physics 2024-03-18 Manuel R. Izquierdo , J. Fernando Abalos , Carlos Palenzuela

We study the merger of black hole-neutron star binaries by fully general-relativistic neutrino-radiation-hydrodynamics simulations throughout the coalescence, particularly focusing on the role of neutrino irradiation in dynamical mass…

High Energy Astrophysical Phenomena · Physics 2018-01-23 Koutarou Kyutoku , Kenta Kiuchi , Yuichiro Sekiguchi , Masaru Shibata , Keisuke Taniguchi

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

We consider the scattering of neutrons and photons on solid volume rectangular targets. It is common to treat this problem using the Maxwell Boltzmann Transport Equation and to use underlying symmetries to simplify the calculation. For…

Computational Physics · Physics 2017-12-27 Eric V. Steinfelds , Keith Andrew

Neutrino transport and neutrino interactions in dense matter play a crucial role in stellar core collapse, supernova explosions and neutron star formation. Here we present a detailed description of a new numerical code for treating the time…

Astrophysics · Physics 2008-11-26 Markus Rampp , H. -Thomas Janka

We present general-relativistic radiation magnetohydrodynamics simulations of binary neutron star mergers performed with GR-Athena++. Neutrino transport is treated using a moment-based, energy-integrated scheme (M1), augmented by neutrino…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Boris Daszuta , Sebastiano Bernuzzi , Maximilian Jacobi , Eduardo M. Gutiérrez , Peter Hammond , William Cook , David Radice

The main features of the gravitational dynamics of binary neutron star systems are now well established. While the inspiral can be precisely described in the post-Newtonian approximation, fully relativistic magneto-hydrodynamical…

High Energy Astrophysical Phenomena · Physics 2020-10-23 Matteo Lucca , Laura Sagunski , Federico Guercilena , Christian M. Fromm

We generalize a simple Monte Carlo (MC) model for dilute gases to consider the transport behavior of positrons and electrons in Percus-Yevick model liquids under highly non-equilibrium conditions, accounting rigorously for coherent…

Computational Physics · Physics 2015-04-22 W. J. Tattersall , D. G. Cocks , G. J. Boyle , R. D. White

This paper presents multilevel hybrid transport (MLHT) methods for solving the neutral-particle Boltzmann transport equation. The proposed MLHT methods are formulated on a sequence of spatial grids using a multilevel Monte Carlo (MLMC)…

Numerical Analysis · Mathematics 2026-05-12 Vincent N. Novellino , Dmitriy Y. Anistratov

We develop a neutrino transfer code for core-collapse simulations, that directly solves the multidimensional Boltzmann equations in full general relativity. We employ the discrete ordinate method, which discretizes the six dimensional phase…

Soft X-ray emission from neutron stars affords powerful diagnostic tools for uncovering their surface and interior properties, as well as their geometric configurations. In the atmospheres of neutron stars, the presence of magnetic fields…

High Energy Astrophysical Phenomena · Physics 2025-10-29 Hoa Dinh Thi , Matthew G. Baring , Kun Hu , Alice K. Harding , Joseph A. Barchas

Accurate neutrino transport has been built into spherically symmetric simulations of stellar core collapse and postbounce evolution. The results of such simulations agree that spherically symmetric models with standard microphysical input…

Astrophysics · Physics 2010-05-12 M. Liebendoerfer , M. Rampp , H. -Th. Janka , A. Mezzacappa

Determining where, when, and how neutrino flavor oscillations must be included in large-scale simulations of hot and dense astrophysical environments is an enduring challenge that must be tackled to obtain accurate predictions. Using an…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Julien Froustey , Francois Foucart , Christian Hall , James P. Kneller , Debraj Kundu , Zidu Lin , Gail C. McLaughlin , Sherwood Richers

We have developed a Monte Carlo simulation for ion transport in hot background gases, which is an alternative way of solving the corresponding Boltzmann equation that determines the distribution function of ions. We consider the limit of…

Plasma Physics · Physics 2012-05-04 Zoran Ristivojevic , Zoran Lj. Petrović