
Review of Short Phrases and Links 
This Review contains major "Master Equation" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 The Master Equation is a differential difference equation which keeps track of all of the molecules in the system.
 It is shown that a "best possible" master equation may always be defined, for approximating the evolution in the case that no exact master equation exists.
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 The macroscopic equations resemble the reaction rate equations and the probability distribution for the stochastic variables satisfy a master equation.
 The Dirac equation has been derived from the master equation of Poisson process by analytic continuation.
 Thus, in the latter form of the master equation there is no need to define the diagonal elements of T.
 Starting from this fact, we investigate what general forms a master equation, Markovian or nonMarkovian, may take.
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Master Equation
 Another generalization of the master equation is the FokkerPlanck equation which describes the time evolution of a continuous probability distribution.
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 The master equation exhibits detailed balance if each of the terms of the summation disappears separately at equilibrium — i.e.
 In this paper, Gillespie considers the time evolution of the system as a kind of random walk that is governed by the Master Equation.
Categories
 FokkerPlanck Equation
 Time Evolution
 Continuous Probability Distribution
 General Forms
 Latter Form

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