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Volumn 32, Issue 9, 1999, Pages 1629-1641

Exact results for the directed Abelian sandpile models

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EID: 0033525297     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/9/011     Document Type: Article
Times cited : (5)

References (22)
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    • (1987) Phys. Rev. Lett. , pp. 59381-59384
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 4
    • 4244215017 scopus 로고
    • Critical exponents and scaling relations for self-organized critical phenomena
    • Tang C and Bak P 1988 Critical exponents and scaling relations for self-organized critical phenomena Phys. Rev. Lett. 60 2347-50
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2347-2350
    • Tang, C.1    Bak, P.2
  • 5
    • 0039642187 scopus 로고
    • Mean field theory of self-organized critical phenomena
    • Tang C and Bak P 1988 Mean field theory of self-organized critical phenomena J. Stat. Phys. 51 797-802
    • (1988) J. Stat. Phys. , vol.51 , pp. 797-802
    • Tang, C.1    Bak, P.2
  • 6
    • 0003432181 scopus 로고    scopus 로고
    • Oxford: Oxford University Press
    • Bak P 1997 How Nature Works (Oxford: Oxford University Press)
    • (1997) How Nature Works
    • Bak, P.1
  • 8
    • 24844442721 scopus 로고
    • Self-organized critical state of sandpile automaton models
    • Dhar D 1990 Self-organized critical state of sandpile automaton models Phys. Rev. Lett. 64 1613-16
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1613-1616
    • Dhar, D.1
  • 9
    • 0001184784 scopus 로고
    • Equivalence between the Abelian sandpile model and the q → 0 limit of the Potts model
    • Majumdar S N and Dhar D 1992 Equivalence between the Abelian sandpile model and the q → 0 limit of the Potts model Physica A 185 129-415
    • (1992) Physica A , vol.185 , pp. 129-415
    • Majumdar, S.N.1    Dhar, D.2
  • 10
    • 21344498143 scopus 로고
    • Structure of two-dimensional sandpile. I. Height probabilities
    • Priezzhev VB 1994 Structure of two-dimensional sandpile. I. Height probabilities J. Stat. Phys 74 955-79
    • (1994) J. Stat. Phys , vol.74 , pp. 955-979
    • Priezzhev, V.B.1
  • 11
    • 4243716224 scopus 로고    scopus 로고
    • Formation of avalanches and critical exponents in an Abelian sandpile model
    • Priezzhev V B, Ktitarev D V and Ivashkevich E V 1996 Formation of avalanches and critical exponents in an Abelian sandpile model Phys. Rev. Lett. 76 2093-6
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2093-2096
    • Priezzhev, V.B.1    Ktitarev, D.V.2    Ivashkevich, E.V.3
  • 13
    • 34247129579 scopus 로고
    • Abelian sandpile model on Bethe lattice
    • Dhar D and Majumdar S N 1990 Abelian sandpile model on Bethe lattice J. Phys. A: Math. Gen. 23 4333-50
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 4333-4350
    • Dhar, D.1    Majumdar, S.N.2
  • 16
    • 0000561230 scopus 로고
    • Exactly solved model of self-organized critical phenomena
    • Dhar D and Ramaswamy R 1989 Exactly solved model of self-organized critical phenomena Phys. Rev. Lett. 63 1659-62
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 1659-1662
    • Dhar, D.1    Ramaswamy, R.2
  • 20
    • 0344287240 scopus 로고    scopus 로고
    • Effect of anisotropy on the self-organized critical states of Abelian sandpile models
    • Tsuchiya T and Katori M 1999 Effect of anisotropy on the self-organized critical states of Abelian sandpile models Physica A 266 332-5
    • (1999) Physica A , vol.266 , pp. 332-335
    • Tsuchiya, T.1    Katori, M.2
  • 21
    • 21144462565 scopus 로고
    • Asymmetric Abelian sandpile models
    • Speer E R 1993 Asymmetric Abelian sandpile models J. Stat. Phys. 71 61-74
    • (1993) J. Stat. Phys. , vol.71 , pp. 61-74
    • Speer, E.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.