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**Harvard**

Pál, L. och Pázsit, I. (2006) *Neutron fluctuations in a multiplying medium randomly varying in time*.

** BibTeX **

@article{

Pál2006,

author={Pál, Lénárd and Pázsit, Imre},

title={Neutron fluctuations in a multiplying medium randomly varying in time},

journal={Physica Scripta},

issn={0031-8949},

volume={ 74},

issue={1},

pages={62-70 },

abstract={The master equation approach,
which has traditionally been used for the calculation of neutron
fluctuations in multiplying systems with constant parameters, is
extended to a case when the parameters of the system change
randomly in time. We consider a forward type master equation for
the case of a multiplying system whose properties jump randomly
between two discrete states, both with and without a stationary
external source. The first two factorial moments are calculated,
including the covariance. This model can be considered the
unification of stochastic methods that were used either in a
constant multiplying medium via the master equation technique, or
in a fluctuating medium via the Langevin technique. The results
obtained show a much richer characteristics of the zero power
noise than that in constant systems. The results are relevant in
medium power subcritical nuclear systems where the zero power
noise is still significant, but they also have a bearing on all
types of branching processes, such as evolution of biological
systems, spreading of epidemics etc., which are set in a
time-varying environment.},

year={2006},

keywords={Particle fluctuations, branching processes, master equations, time-varying systems, criticality.imre},

}

** RefWorks **

RT Journal Article

SR Print

ID 24085

A1 Pál, Lénárd

A1 Pázsit, Imre

T1 Neutron fluctuations in a multiplying medium randomly varying in time

YR 2006

JF Physica Scripta

SN 0031-8949

VO 74

IS 1

SP 62

OP 70

AB The master equation approach,
which has traditionally been used for the calculation of neutron
fluctuations in multiplying systems with constant parameters, is
extended to a case when the parameters of the system change
randomly in time. We consider a forward type master equation for
the case of a multiplying system whose properties jump randomly
between two discrete states, both with and without a stationary
external source. The first two factorial moments are calculated,
including the covariance. This model can be considered the
unification of stochastic methods that were used either in a
constant multiplying medium via the master equation technique, or
in a fluctuating medium via the Langevin technique. The results
obtained show a much richer characteristics of the zero power
noise than that in constant systems. The results are relevant in
medium power subcritical nuclear systems where the zero power
noise is still significant, but they also have a bearing on all
types of branching processes, such as evolution of biological
systems, spreading of epidemics etc., which are set in a
time-varying environment.

LA eng

DO 10.1088/0031-8949/74/1/009

OL 30