Unified Theory of Fluctuations and Parametric Noise
Generally speaking a system composed of many particles which are being created and annihilated has an intrinsic stochasticity associate with birth and death processes. Fluctuations associated with this process are usually called internal fluctuations. They, are described by a master equation or probability balance equation1. In the context of stochastic nuclear reactor models the birth and death process is the stochastic fission process with associated emission and absorption probabilities per unit time2. In the limit in which the number of particles N goes to infinity or system size goes to infinity (thermodynamic limit) internal fluctuations become negligeable. In this limit the master equation leads to a deterministic or rate equation. For nuclear reactors this is the point kinetia reactor equation.
KeywordsMaster Equation Noise Source Langevin Equation External Noise Counting Process
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