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Journal Articles Journal de Physique Year : 1985

Path integral approach to birth-death processes on a lattice

L. Peliti
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Abstract

The Fock space formalism for classical objects first introduced by Doi is cast in a path integral form and applied to general birth-death processes on a lattice. The introduction of suitable auxiliary variables allows one to formulate random walks with memory and irreversible aggregation processes in a Markovian way, which is treatable in this formalism. Existing field theories of such processes are recovered in the continuum limit. Implications of the method for their asymptotic behaviour are briefly discussed.
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Dates and versions

jpa-00210092 , version 1 (01-01-1985)

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L. Peliti. Path integral approach to birth-death processes on a lattice. Journal de Physique, 1985, 46 (9), pp.1469-1483. ⟨10.1051/jphys:019850046090146900⟩. ⟨jpa-00210092⟩

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