Advertisement

Exactly solvable models through the generalized empty interval method, for multi-species interactions

  • A. Aghamohammadi
  • M. Alimohammadi
  • M. Khorrami

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 En(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 En(t)'s are closed, are given.

PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – 02.50.Ga Markov processes 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© EDP Sciences, Springer-Verlag 2003

Authors and Affiliations

  • A. Aghamohammadi
    • 1
  • M. Alimohammadi
    • 2
  • M. Khorrami
    • 3
  1. 1.Department of Physics, Alzahra University, Tehran 19834, IranIR
  2. 2.Physics Department, University of Tehran, North Karegar Avenue, Tehran, IranIR
  3. 3.Institute for Advanced Studies in Basic Sciences, PO Box 159, Zanjan 45195, IranIR

Personalised recommendations