Exactly solvable models through the generalized empty interval method,for multi-species interactions |
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| Authors: | A Aghamohammadi M Alimohammadi M Khorrami |
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| Institution: | (1) Department of Physics, Alzahra University, Tehran 19834, Iran, IR;(2) Physics Department, University of Tehran, North Karegar Avenue, Tehran, Iran, IR;(3) Institute for Advanced Studies in Basic Sciences, PO Box 159, Zanjan 45195, Iran, IR;(4) Institute of Applied Physics, PO Box 5878 Tehran 15875, Iran, IR |
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| Abstract: | Multi-species reaction-diffusion systems, with nearest-neighbor interaction on a one-dimensional lattice are considered. Necessary
and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation
for E
n(t)'s, the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time t. The constraints are solved for the single-species left-right-symmetric systems. Also, examples of multi-species system for
which the evolution equations of E
n(t)'s are closed, are given.
Received 25 September 2002 / Received in final form 3 December 2002 Published online 14 February 2003
RID="a"
ID="a"e-mail: mamwad@iasbs.ac.ir |
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| Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion – 02 50 Ga Markov processes |
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