2019
DOI: 10.48550/arxiv.1902.05280
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WKB-type-of approximation for rare event statistics in reacting systems

Andreas Mühlbacher,
Thomas Guhr

Abstract: We calculate the probabilities to find systems of reacting particles in states which largely deviate from typical behavior. The rare event statistics is obtained from the master equation which describes the dynamics of the probability distribution of the particle number. We transform the master equation by means of a generating function into a time-dependent "Schrödinger equation". Its solution is provided by a separation ansatz and an approximation for the stationary part which is of Wentzel-Kramers-Brillouin… Show more

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