E Abad et al 2002 J. Phys. A: Math. Gen. 35 1483 doi:10.1088/0305-4470/35/7/301
E Abad1, T Masser2 and D ben-Avraham2
Show affiliationsWe study the one-dimensional kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.
Issue 7 (22 February 2002)
Received 29 October 2001
Published 8 February 2002
E Abad et al 2002 J. Phys. A: Math. Gen. 35 1483
Christopher F Blanford et al 2006 J. Phys.: Conf. Ser. 26 264
R Abou-Chacra et al 1973 J. Phys. C: Solid State Phys. 6 1734
M Allahverdi et al 1999 Phys. Med. Biol. 44 1125
W-M Yao et al 2006 J. Phys. G: Nucl. Part. Phys. 33 1
Gerrit E W Bauer and Laurens W Molenkamp 2007 New J. Phys. 9
U Zülicke et al 2007 New J. Phys. 9 355
R A Brooker 1955 Br. J. Appl. Phys. 6 307
Hongbin Zhang et al 2009 New J. Phys. 11 043007
S-L Drechsler et al 2010 J. Phys.: Conf. Ser. 200 012028