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Title: Calculating alpha Eigenvalues in a Continuous-Energy Infinite Medium with Monte Carlo

Abstract

The {alpha} eigenvalue has implications for time-dependent problems where the system is sub- or supercritical. We present methods and results from calculating the {alpha}-eigenvalue spectrum for a continuous-energy infinite medium with a simplified Monte Carlo transport code. We formulate the {alpha}-eigenvalue problem, detail the Monte Carlo code physics, and provide verification and results. We have a method for calculating the {alpha}-eigenvalue spectrum in a continuous-energy infinite-medium. The continuous-time Markov process described by the transition rate matrix provides a way of obtaining the {alpha}-eigenvalue spectrum and kinetic modes. These are useful for the approximation of the time dependence of the system.

Authors:
 [1];  [1];  [1];  [1]
  1. Los Alamos National Laboratory
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
DOE/LANL
OSTI Identifier:
1050477
Report Number(s):
LA-UR-12-24472
TRN: US1204699
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; EIGENVALUES; KINETICS; MARKOV PROCESS; PHYSICS; TIME DEPENDENCE; TRANSPORT; VERIFICATION

Citation Formats

Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., and Martin, William R. Calculating alpha Eigenvalues in a Continuous-Energy Infinite Medium with Monte Carlo. United States: N. p., 2012. Web. doi:10.2172/1050477.
Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., & Martin, William R. Calculating alpha Eigenvalues in a Continuous-Energy Infinite Medium with Monte Carlo. United States. doi:10.2172/1050477.
Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., and Martin, William R. Tue . "Calculating alpha Eigenvalues in a Continuous-Energy Infinite Medium with Monte Carlo". United States. doi:10.2172/1050477. https://www.osti.gov/servlets/purl/1050477.
@article{osti_1050477,
title = {Calculating alpha Eigenvalues in a Continuous-Energy Infinite Medium with Monte Carlo},
author = {Betzler, Benjamin R. and Kiedrowski, Brian C. and Brown, Forrest B. and Martin, William R.},
abstractNote = {The {alpha} eigenvalue has implications for time-dependent problems where the system is sub- or supercritical. We present methods and results from calculating the {alpha}-eigenvalue spectrum for a continuous-energy infinite medium with a simplified Monte Carlo transport code. We formulate the {alpha}-eigenvalue problem, detail the Monte Carlo code physics, and provide verification and results. We have a method for calculating the {alpha}-eigenvalue spectrum in a continuous-energy infinite-medium. The continuous-time Markov process described by the transition rate matrix provides a way of obtaining the {alpha}-eigenvalue spectrum and kinetic modes. These are useful for the approximation of the time dependence of the system.},
doi = {10.2172/1050477},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {9}
}

Technical Report:

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