HYPERSCALING IN THE DOMANY-KINEEL CELLULAR-AUTOMATON

Authors
DICKMAN R TRETYAKOV AY
Citation
R. Dickman et Ay. Tretyakov, HYPERSCALING IN THE DOMANY-KINEEL CELLULAR-AUTOMATON, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 3218-3220
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
3
Year of publication
1995
Part
B
Pages
3218 - 3220
Database
ISI
SICI code
1063-651X(1995)52:3<3218:HITDC>2.0.ZU;2-A
Abstract
An apparent violation of hyperscaling at the end point of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elem entary resolution upon noting that the order parameter is discontinuou s at this point. We derive a hyperscaling relation for such transition s and discuss applications to related examples.