https://doi.org/10.1140/epjb/e2004-00010-8
Small-world network effect in competing Glauber- and Kawasaki-type dynamics
1
CCAST (World Laboratory), Box 8730, Beijing 100080, P.R. China
2
Department of Physics, Beijing Normal University, Beijing 100875, P.R. China
3
Department of Physics, Nanjing University, Nanjing 210093, P.R. China
Corresponding author: a zhujy@bnu.edu.cn
Received:
31
July
2003
Revised:
11
October
2003
Published online:
30
January
2004
In this article, we investigate the competing Glauber-type and
Kawasaki-type dynamics with small-world network (SWN) effect, in
the framework of the Gaussian model. The Glauber-type single-spin
transition mechanism with probability p simulates the contact of
the system with a heat bath and the Kawasaki-type dynamics with
probability 
simulates an external energy flux. Two different
types of SWN effect are studied, one with the total number of
links increased and the other with it conserved. The competition
of the dynamics leads to an interesting self-organization process
that can be characterized by a phase diagram with two identifiable
temperatures. By studying the modification of the phase diagrams,
the SWN effect on the two dynamics is analyzed. For the
Glauber-type dynamics, more important is the altered average
coordination number while the Kawasaki-type dynamics is enhanced
by the long range spin interaction and redistribution.
PACS: 89.75.-k – Complex systems / 64.60.Ht – Dynamic critical phenomena / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 64.60.Fr – Equilibrium properties near critical points, critical exponents
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
