https://doi.org/10.1140/epjb/e2003-00044-4
Exactly solvable models through the generalized empty interval method, for multi-species interactions
1
Department of Physics, Alzahra University,
Tehran 19834, Iran
2
Institute of Applied Physics, PO Box 5878
Tehran 15875, Iran
3
Physics Department, University of Tehran,
North Karegar Avenue, Tehran, Iran
4
Institute for Advanced Studies in Basic Sciences,
PO Box 159, Zanjan 45195, Iran
Corresponding author: a mamwad@iasbs.ac.ir
Received:
25
September
2002
Revised:
3
December
2002
Published online:
14
February
2003
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 
'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 's are closed, are
given.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ga – Markov processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
