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Unified Theory of Fluctuations and Parametric Noise

  • M. San Miguel
  • M. A. Rodríguez

Abstract

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.

Keywords

Master Equation Noise Source Langevin Equation External Noise Counting Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • M. San Miguel
    • 1
  • M. A. Rodríguez
    • 2
  1. 1.Dpto. de FísicaUniv. de las Islas BalearesPalma de MallorcaSpain
  2. 2.Dpto. de Física ModernaUniv. de CantabriaSantanderSpain

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