Iwan Jensen 1997 J. Phys. A: Math. Gen. 30 8471 doi:10.1088/0305-4470/30/24/012
Series expansions for the percolation probability of a generalized Domany - Kinzel cellular automaton
Iwan Jensen
Show affiliationsSeries expansions have been derived for the percolation probability of a generalized Domany - Kinzel cellular automaton with two equivalent absorbing states. The analysis of the series generally yields estimates of the critical exponent 
, consistent with earlier Monte Carlo studies thus confirming that the model belongs to the same universality class as branching annihilating random walks with an even number of offspring. There is evidence to suggest that when the probability of spreading from two active sites becomes small a new critical behaviour emerges.
- PACS
-
02.30.Lt Sequences, series, and summability
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
- MSC
-
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82B43 Percolation (See also 60K35)
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
- Subjects
- Dates
-
Issue 24 (21 December 1997)
Received 8 September 1997
-
Series expansions for the percolation probability of a generalized Domany - Kinzel cellular automaton
Iwan Jensen 1997 J. Phys. A: Math. Gen. 30 8471
-
Supernovae, Jets, and Collapsars
A. I. MacFadyen et al. 2001 ApJ 550 410
-
Application of renormalization to potential scattering
Carlos F de Araujo Jr et al 1997 J. Phys. A: Math. Gen. 30 4687
-
CMS Physics Technical Design Report: Addendum on High Density QCD with Heavy Ions
The CMS Collaboration et al 2007 J. Phys. G: Nucl. Part. Phys. 34 2307
-
A New High-Resolution CO Map of the Inner 25 of M51. I. Streaming Motions and Spiral Structure
S. Aalto et al. 1999 ApJ 522 165
-
A compilation of data on two-photon reactions leading to hadron final states
D Morgan et al 1994 J. Phys. G: Nucl. Part. Phys. 20 A1
-
Self-gravity modelling for LISA
Stephen M Merkowitz et al 2005 Class. Quantum Grav. 22 S395
-
On the Temporal Relationship between Coronal Mass Ejections and Flares
J. Zhang et al. 2001 ApJ 559 452
-
Synthesis, structure, and magnetic properties of LaTMg and CeTMg (T = Pd, Pt, Au)
B J Gibson et al 2002 J. Phys.: Condens. Matter 14 5173
-
Evidence for atomic scale disorder in indium nitride from perturbed angular correlation spectroscopy
R Dogra et al 2005 J. Phys.: Condens. Matter 17 6037
Related review articles
What's this?- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain
- Universality of Wigner random matrices: a survey of recent results