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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

Over the last decade, ingenuous developments in Monte Carlo methods have enabled the unbiased estimation of adjoint-weighted reactor parameters expressed as bilinear forms, such as kinetics parameters and sensitivity coefficients. A…

Computational Physics · Physics 2024-07-09 Eric Dumonteil , Emma Horton , Andreas E. Kyprianou , Andrea Zola

A collision-based hybrid method for the discrete ordinates approximation of the multigroup neutron transport equation is developed for two-dimensional time-dependent problems. At each time step, this algorithm splits the neutron transport…

Computational Physics · Physics 2025-02-17 Ben Whewell , Ryan G. McClarren

A collision-based hybrid algorithm for the discrete ordinates approximation of the neutron transport equation is extended to the multigroup setting. The algorithm uses discrete energy and angle grids at two different resolutions and…

Computational Physics · Physics 2022-12-05 Ben Whewell , Ryan G. McClarren , Cory D. Hauck , Minwoo Shin

Methods used to infer nuclear parameters from neutron count statistics fall into two categories depending on whether they use moments or count number probabilities. As probabilities are in general more difficult to calculate, we are…

Nuclear Theory · Physics 2024-08-12 Philippe Humbert

The neutron transport equation (NTE) describes the flux of neutrons across a planar cross-section in an inhomogeneous fissile medium when the process of nuclear fission is active. Classical work on the NTE emerges from the applied…

Probability · Mathematics 2020-03-18 Simon C. Harris , Emma Horton , Andreas E. Kyprianou

We derive photon counting statistics for an output field of a single-photon wave packet interacting with a quantum system (e.g. a quantum harmonic oscillator or a two-level atom). We determine the exclusive probability densities for the…

Quantum Physics · Physics 2023-05-03 Anita Dąbrowska

This paper presents an efficient parallel method for the deterministic solution of the 3D stationary Boltzmann transport equation applied to diffusive problems such as nuclear core criticality computations. Based on standard…

Computational Physics · Physics 2017-10-05 Salli Moustafa , François Févotte , Mathieu Faverge , Laurent Plagne , Pierre Ramet

One route to improved predictive modeling of magnetically confined fusion reactors is to couple transport solvers with direct numerical simulations (DNS) of turbulence, rather than with surrogate models. An additional challenge presented by…

Plasma Physics · Physics 2018-07-16 Jeffrey B. Parker , Lynda L. LoDestro , Alejandro Campos

In this work we present a solution of the one-dimensional spherical symmetric time-dependent neutron transport equation (written for a moving system in lagrangian coordinates) by using the characteristic method. One of the objectives is to…

Computational Physics · Physics 2025-12-18 Dalton Ellery Girao Barroso

In current simulations of fission, the number of protons and neutrons in a given fission fragment is almost always obtained by integrating the total density of particles in the sector of space that contains the fragment. Because of the…

Nuclear Theory · Physics 2020-08-19 Marc Verriere , Nicolas Schunck , Toshihiko Kawano

The differential rates and emissivities of neutrino pairs from an equilibrium plasma are calculated for the wide range of density and temperature encountered in astrophysical systems. New analytical expressions are derived for the…

Astrophysics · Physics 2009-11-07 Sasa Ratkovic , Sharada Iyer Dutta , Madappa Prakash

For both reactions we use an approach similar to that of compound-nucleus reaction theory. For neutron-induced fission, we describe the compound system generated by absorption of the neutron and the nuclear system near the scission point as…

Nuclear Theory · Physics 2024-11-26 Hans A. Weidenmüller

A method is presented which allows one to introduce collective coordinates self-consistently, in distinction to the Caldeira-Leggett model. It is demonstrated how the partition function Z for the total nuclear system can be calculated to…

Nuclear Theory · Physics 2009-11-10 Christian Rummel , Helmut Hofmann

Neutron cross section matrices for fission and scattering data are required for each material, temperature, and enrichment level to calculate the neutron transport equation accurately. This information can be a limiting factor when using…

Computational Physics · Physics 2022-05-12 Ben Whewell , Ryan G. McClarren

An analysis methodology is developed for the time-of-flight (TOF) signals recorded by two or more collinear neutron detectors located at different distances from a pulsed neutron source. It is based on taking central moments of the TOF…

Plasma Physics · Physics 2025-01-15 Brian D. Appelbe , Aidan J. Crilly

This article describes methods for the deterministic simulation of the collisional Boltzmann equation. It presumes that the transport and collision parts of the equation are to be simulated separately in the time domain. Time stepping…

Numerical Analysis · Mathematics 2009-11-19 Akil Narayan , Andreas Klöckner

Many physical observables can be represented as a particle spending some random time within a given domain. For a broad class of transport-dominated processes, we detail how it is possible to express the moments of the number of particle…

Statistical Mechanics · Physics 2011-07-05 Andrea Zoia , Eric Dumonteil , Alain Mazzolo

Neutron-source identification is central to nuclear physics and its applications, from planetary science to nuclear security, yet direct source discrimination from measured neutron spectra remains fundamentally elusive. Here, we introduce a…

Instrumentation and Detectors · Physics 2026-05-14 David Breitenmoser , Ricardo Lopez , Shaun D. Clarke , Sara A. Pozzi

We apply tensor networks to counting statistics for the stochastic particle transport in an out-of-equilibrium diffusive system. This system is composed of a one-dimensional channel in contact with two particle reservoirs at the ends. Two…

Statistical Mechanics · Physics 2022-12-14 Jiayin Gu , Fan Zhang
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