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Volumn 118, Issue 3-4, 2005, Pages 589-623

Invariant measures and convergence properties for cellular automaton 184 and related processes

Author keywords

Annihilating deterministic motions; Ballistic annihilation; Cellular automata; Hydrodynamic limits; Invariant measures; Phase separating measures; Rate of convergence to equilibrium; Surface growth; Traffic flow models; Wolfram's automaton 184

Indexed keywords


EID: 15244355386     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-004-8822-4     Document Type: Article
Times cited : (49)

References (23)
  • 1
    • 21844501699 scopus 로고
    • Ballistic annihilation and deterministic surface growth
    • (3/4)
    • V. Belitsky P. A. Ferrari 1995 Ballistic annihilation and deterministic surface growth J. Stat. Phys. 80 (3/4) 517 543
    • (1995) J. Stat. Phys. , vol.80 , pp. 517-543
    • Belitsky, V.1    Ferrari, P.A.2
  • 2
    • 0035373768 scopus 로고    scopus 로고
    • A cellular automaton model for two-lane traffic
    • (5/6)
    • V. Belitsky J. Krug E. J. Neves G. Schütz 2001 A cellular automaton model for two-lane traffic J. Stat. Phys. 103 (5/6) 945 971
    • (2001) J. Stat. Phys. , vol.103 , pp. 945-971
    • Belitsky, V.1    Krug, J.2    Neves, E.J.3    Schütz, G.4
  • 6
    • 0001436063 scopus 로고    scopus 로고
    • Two-state, r=1 cellular automaton that classifies density
    • 24
    • M. S. Capcarrere M. Sipper M. Tomassini 1996 Two-state, r=1 cellular automaton that classifies density Phys. Rev. Lett. 77 24 4969 4971
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4969-4971
    • Capcarrere, M.S.1    Sipper, M.2    Tomassini, M.3
  • 7
    • 0001582702 scopus 로고
    • Annihilation kinetics in the one-dimensional ideal gas
    • Y. Elskens H. L. Frisch 1985 Annihilation kinetics in the one-dimensional ideal gas Phys. Rev. A 31 6
    • (1985) Phys. Rev. a , vol.31 , pp. 6
    • Elskens, Y.1    Frisch, H.L.2
  • 8
    • 0040579505 scopus 로고
    • On some annihilating and coalescing systems
    • 5/6
    • A. Ermakov B. Tóth W. Werner 1981 On some annihilating and coalescing systems J. Stat. Phys. 91 5/6 845 870
    • (1981) J. Stat. Phys. , vol.91 , pp. 845-870
    • Ermakov, A.1    Tóth, B.2    Werner, W.3
  • 9
    • 0003123544 scopus 로고
    • Shocks in the Burgers equation and the asymmetric simple exclusion process
    • Automata Networks, Dynamical Systems and Statistical Physics, E. Goles, S. Martinez, eds.
    • P. A. Ferrari, Shocks in the Burgers equation and the asymmetric simple exclusion process. in Automata Networks, Dynamical Systems and Statistical Physics, E. Goles, S. Martinez, eds. Kluwer Math. and its Appl. 25-64 (1992).
    • (1992) Kluwer Math. and Its Appl. , pp. 25-64
    • Ferrari, P.A.1
  • 10
  • 12
    • 0035498174 scopus 로고    scopus 로고
    • The ergodic theory of traffic jams
    • 3/4
    • L. Gray D. Griffeath 2001 The ergodic theory of traffic jams J. Stat. Phys. 105 3/4 413 452
    • (2001) J. Stat. Phys. , vol.105 , pp. 413-452
    • Gray, L.1    Griffeath, D.2
  • 13
    • 0000576643 scopus 로고
    • Clustering in the one-dimensional three-color cyclic cellular automaton
    • 3
    • R. Fisch 1992 Clustering in the one-dimensional three-color cyclic cellular automaton Ann. Prob. 20 3 1528 1548
    • (1992) Ann. Prob. , vol.20 , pp. 1528-1548
    • Fisch, R.1
  • 15
    • 0000034544 scopus 로고
    • Ballistic Annihilation kinetics: The case of discrete velocity distribution
    • 5
    • P. L. Krapivsky F. Leyvraz S. Redner 1995 Ballistic Annihilation kinetics: The case of discrete velocity distribution Phys. Rev. E51 5 3977 3987
    • (1995) Phys. Rev. , vol.51 , pp. 3977-3987
    • Krapivsky, P.L.1    Leyvraz, F.2    Redner, S.3
  • 16
    • 0001592733 scopus 로고
    • Universality classes for deterministic surface growth
    • J. Krug H. Spohn 1988 Universality classes for deterministic surface growth Phys. Rev. A 38 4271 4283
    • (1988) Phys. Rev. a , vol.38 , pp. 4271-4283
    • Krug, J.1    Spohn, H.2
  • 17
    • 84956107296 scopus 로고
    • Anomalous fluctuations in the driven and damped sine-Gordon chain
    • 3
    • J. Krug H. Spohn 1989 Anomalous fluctuations in the driven and damped sine-Gordon chain Europhys. Lett. 8 3 219 224
    • (1989) Europhys. Lett. , vol.8 , pp. 219-224
    • Krug, J.1    Spohn, H.2
  • 18
    • 0001276925 scopus 로고
    • Coupling the simple exclusion process
    • 3
    • T. M. Liggett 1976 Coupling the simple exclusion process Anna. Prob. 4 3 339 356
    • (1976) Anna. Prob. , vol.4 , pp. 339-356
    • Liggett, T.M.1
  • 19
    • 36149036943 scopus 로고
    • Creation and annihilation of traffic jams in a stochastic asymmetric exclusion model with open boundaries: A computer simulation
    • T. Nagatani 1995 Creation and annihilation of traffic jams in a stochastic asymmetric exclusion model with open boundaries: a computer simulation J. Phys. A: Math. Gen. 28 7079 7088
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 7079-7088
    • Nagatani, T.1
  • 20
    • 5344265345 scopus 로고    scopus 로고
    • Particle hopping models and traffic flow theory
    • 5
    • K. Nagel 1996 Particle hopping models and traffic flow theory Phys. Rev. E 53 5 4655 4672
    • (1996) Phys. Rev. , vol.53 , pp. 4655-4672
    • Nagel, K.1
  • 21
    • 35949018560 scopus 로고
    • Statistical mechanics of cellular automata
    • S. Wolfram 1983 Statistical mechanics of cellular automata Rev. Mod. Phys. 55 601
    • (1983) Rev. Mod. Phys. , vol.55 , pp. 601
    • Wolfram, S.1
  • 23
    • 84972580384 scopus 로고
    • Stationary measures for an exclusion process on one-dimensional lattices with infinitely many hopping sites
    • H. Yaguchi 1986 Stationary measures for an exclusion process on one-dimensional lattices with infinitely many hopping sites Hiroshima Math. J. 16 449 475
    • (1986) Hiroshima Math. J. , vol.16 , pp. 449-475
    • Yaguchi, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.