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- W2247258781 abstract "Master equations are common descriptions of mesoscopic systems. Analytical solutions to these equations can rarely be obtained. We here derive a closed-form approximation of the probability distribution of the Master Equation using van Kampen's system size expansion. The solution is given in two alternative formulations: a series with continuous and a series with discrete support that can be systematically truncated. We show that the continuous distribution approximations become increasingly negative and tend to oscillations with increasing truncation order. In contrast, the discrete approximations rapidly converge to the underlying non-Gaussian distributions." @default.
- W2247258781 created "2016-06-24" @default.
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- W2247258781 date "2014-11-13" @default.
- W2247258781 modified "2023-09-27" @default.
- W2247258781 title "System size expansion for the probability distribution of the Master equation" @default.
- W2247258781 hasPublicationYear "2014" @default.
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