Journal
PHYSICAL REVIEW LETTERS
Volume 97, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.97.200602
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We suggest a general spectral method for calculating the statistics of multistep birth-death processes and chemical reactions of the type mA -> nA (m and n are positive integers) which possess an absorbing state. The method employs the generating function formalism in conjunction with the Sturm-Liouville theory of linear differential operators. It yields accurate results for the extinction statistics and for the quasistationary probability distribution, including large deviations, of the metastable state. The power of the method is demonstrated on the example of binary annihilation and triple branching 2A ->subset of, A -> 3A, representative of the rather general class of dissociation-recombination reactions.
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