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• W2033622568 abstract "We consider the discrete-time evolution of a finite number of particles obeying the totally asymmetric exclusion process with backward-ordered update on an infinite chain. Our first result is a determinant expression for the conditional probability of finding the particles at given initial and final positions, provided that they start and finish simultaneously. The expression has the same form as the one obtained by Schutz [J. Stat. Phys. 88, 427 (1997)] for the continuous-time process. Next we prove that under some sufficient conditions the determinant expression can be generalized to the case when the particles start and finish at their own times. The latter result is used to solve a nonstationary zero-range process on a finite chain with open boundaries." @default.
• W2033622568 created "2016-06-24" @default.
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• W2033622568 date "2004-06-23" @default.
• W2033622568 modified "2023-10-18" @default.
• W2033622568 title "Generalized determinant solution of the discrete-time totally asymmetric exclusion process and zero-range process" @default.
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• W2033622568 doi "https://doi.org/10.1103/physreve.69.066136" @default.
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• W2033622568 hasPublicationYear "2004" @default.
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