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

Betzler, Benjamin R.¹  Kiedrowski, Brian C.¹  Brown, Forrest B.¹  Martin, William R.¹ 

[1]Los Alamos National Laboratory

关键词: APPROXIMATIONS;    EIGENVALUES;    KINETICS;    MARKOV PROCESS;    PHYSICS;    TIME DEPENDENCE;    TRANSPORT;    VERIFICATION;   

DOI  :  10.2172/1050477
RP-ID  :  LA-UR-12-24472
PID  :  OSTI ID: 1050477
Others  :  TRN: US1204699

美国|英语

来源: SciTech Connect

【 摘 要 】

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.