HYPERSCALING IN THE DOMANY-KINEEL CELLULAR-AUTOMATON

被引：50
|
作者：
DICKMAN, R [1 ]
TRETYAKOV, AY [1 ]
机构：
[1] TOHOKU UNIV,GRAD SCH INFORMAT SCI,AOBA KU,SENDAI,MIYAGI 980,JAPAN
来源：
PHYSICAL REVIEW E | 1995年 / 52卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.52.3218
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
An apparent violation of hyperscaling at the end point of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the order parameter is discontinuous at this point. We derive a hyperscaling relation for such transitions and discuss applications to related examples.
引用
收藏
页码：3218 / 3220
页数：3
相关论文
共 50 条
  • [21] Roughness exponent in the Domany-Kinzel cellular automaton
    de Sales, JA
    Martins, ML
    Moreira, JG
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (06): : 885 - 890
  • [22] A vMOS cellular-automaton device for picture processing
    Shiong, WZ
    Masayuki, I
    Yoshihito, A
    ISIC-99: 8TH INTERNATIONAL SYMPOSIUM ON INTEGRATED CIRCUITS, DEVICES & SYSTEMS, PROCEEDINGS, 1999, : 331 - 334
  • [23] STATISTICAL PROPERTIES OF THE CELLULAR-AUTOMATON MODEL FOR EARTHQUAKES
    NAKANISHI, H
    PHYSICAL REVIEW A, 1991, 43 (12): : 6613 - 6621
  • [24] Stochastic cellular-automaton model for traffic flow
    Kanai, Masahiro
    Nishinari, Katsuhiro
    Tokihiro, Tetsuji
    CELLULAR AUTOMATA, PROCEEDINGS, 2006, 4173 : 538 - 547
  • [25] NONLINEAR DYNAMICS OF THE CELLULAR-AUTOMATON GAME OF LIFE
    GARCIA, JBC
    GOMES, MAF
    JYH, TI
    REN, TI
    SALES, TRM
    PHYSICAL REVIEW E, 1993, 48 (05): : 3345 - 3351
  • [26] A CELLULAR-AUTOMATON MODEL OF WILDFIRE PROPAGATION AND EXTINCTION
    CLARKE, KC
    BRASS, JA
    RIGGAN, PJ
    PHOTOGRAMMETRIC ENGINEERING AND REMOTE SENSING, 1994, 60 (11): : 1355 - 1367
  • [27] COLLECTIVE BEHAVIOR IN A CELLULAR-AUTOMATON AND ISOTROPY OF THE NEIGHBORHOOD
    JIMENEZMORALES, F
    LUQUE, JJ
    PHYSICA A, 1994, 212 (1-2): : 118 - 122
  • [28] Correlation function studies on the Domany-Kinzel cellular automaton
    Nagy, TF
    Mahanti, SD
    Tsallis, C
    PHYSICA A, 1998, 250 (1-4): : 345 - 354
  • [29] Cellular-automaton decoders for topological quantum memories
    Herold, Michael
    Campbell, Earl T.
    Eisert, Jens
    Kastoryano, Michael J.
    NPJ QUANTUM INFORMATION, 2015, 1
  • [30] Cellular-Automaton Model For Flickering of Cataclysmic Variables
    Astrophysical Journal, 486 (01):
12345