Competitive nucleation in reversible probabilistic cellular automata

被引:20
作者
Cirillo, Emilio N. M. [1 ]
Nardi, Francesca R. [2 ,3 ]
Spitoni, Cristian [3 ,4 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Me Mo Mat, I-00161 Rome, Italy
[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
[3] Eurandom, NL-5600 MB Eindhoven, Netherlands
[4] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands
来源
PHYSICAL REVIEW E | 2008年 / 78卷 / 04期
关键词
D O I
10.1103/PhysRevE.78.040601
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
The problem of competitive nucleation in the framework of probabilistic cellular automata is studied from the dynamical point of view. The dependence of the metastability scenario on the self-interaction is discussed. An intermediate metastable phase, made of two flip-flopping chessboard configurations, shows up depending on the ratio between the magnetic field and the self-interaction. A behavior similar to the one of the stochastic Blume-Capel model with Glauber dynamics is found.
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页数:4
相关论文
共 18 条
[1]   Fluctuation-dissipation theorem for metastable systems -: art. no. 135701 [J].
Báez, G ;
Larralde, H ;
Leyvraz, F ;
Méndez-Sánchez, RA .
PHYSICAL REVIEW LETTERS, 2003, 90 (13) :4
[2]   Critical droplets in metastable states of probabilistic cellular automata [J].
Bigelis, S ;
Cirillo, ENM ;
Lebowitz, JL ;
Speer, ER .
PHYSICAL REVIEW E, 1999, 59 (04) :3935-3941
[3]   Metastable states in glassy systems [J].
Biroli, G ;
Kurchan, J .
PHYSICAL REVIEW E, 2001, 64 (01) :14-016101
[4]   Metastability and low lying spectra in reversible Markov chains [J].
Bovier, A ;
Eckhoff, M ;
Gayrard, V ;
Klein, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 228 (02) :219-255
[5]   METASTABLE BEHAVIOR OF STOCHASTIC DYNAMICS - A PATHWISE APPROACH [J].
CASSANDRO, M ;
GALVES, A ;
OLIVIERI, E ;
VARES, ME .
JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (5-6) :603-634
[6]   Metastability for reversible probabilistic cellular automata with self-interaction [J].
Cirillo, Emilio N. M. ;
Nardi, Francesca R. ;
Spitoni, Cristian .
JOURNAL OF STATISTICAL PHYSICS, 2008, 132 (03) :431-471
[7]   Metastability for a stochastic dynamics with a parallel heat bath updating rule [J].
Cirillo, ENM ;
Nardi, FR .
JOURNAL OF STATISTICAL PHYSICS, 2003, 110 (1-2) :183-217
[8]   Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition [J].
Cirillo, ENM ;
Olivieri, E .
JOURNAL OF STATISTICAL PHYSICS, 1996, 83 (3-4) :473-554
[9]  
Derrida B, 1990, FUNDAMENTAL PROBLEM, VVII
[10]   NUMERICAL TRANSFER-MATRIX STUDY OF A MODEL WITH COMPETING METASTABLE STATES [J].
FIIG, T ;
GORMAN, BM ;
RIKVOLD, PA ;
NOVOTNY, MA .
PHYSICAL REVIEW E, 1994, 50 (03) :1930-1947