Examination of Stochastic and Deterministic Perturbations in Reactor Physics. Issue 6 (18th September 2016)

• Record Type: Journal Article
• Authors: Kis, Daniel P.; Szatmary, Zoltan
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 6(2016)
• Page Start: 486
• Page End: 499
• Publication Date: 2016-09-18
• Subjects: Diffusion equation -- perturbation theory -- technological uncertainties; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2016.1196221
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: The general solution of the perturbed diffusion equation in case of localized random perturbation is discussed in details. The auto-covariance function of the flux perturbation and the reaction rate have been calculated by Green-function technique, and the algorithm is tested with some special analytic solutions. The reactivity and the variance of reactivity in cases of different perturbations has been determined numerically.