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Volumn 69, Issue 3 1, 2004, Pages

Roughness of sandpile surfaces

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; GAUSSIAN NOISE (ELECTRONIC); MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS;

EID: 37649029633     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.031105     Document Type: Article
Times cited : (2)

References (25)
  • 2
    • 15744401041 scopus 로고
    • P. Bak, C. Tang, and K. Wisenfeld, Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 364
  • 3
    • 0003523992 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Some reviews on the subject are H. J. Jensen, Self Organized Criticality (Cambridge University Press, Cambridge, 1998); D.L. Turcotte, Rep. Prog. Phys. 62, 1377 (1999); D. Dhar, Physica A 264, 1 (1999).
    • (1998) Self Organized Criticality
    • Jensen, H.J.1
  • 4
    • 0006381221 scopus 로고    scopus 로고
    • Some reviews on the subject are H. J. Jensen, Self Organized Criticality (Cambridge University Press, Cambridge, 1998); D.L. Turcotte, Rep. Prog. Phys. 62, 1377 (1999); D. Dhar, Physica A 264, 1 (1999).
    • (1999) Rep. Prog. Phys. , vol.62 , pp. 1377
    • Turcotte, D.L.1
  • 5
    • 0038820848 scopus 로고    scopus 로고
    • Some reviews on the subject are H. J. Jensen, Self Organized Criticality (Cambridge University Press, Cambridge, 1998); D.L. Turcotte, Rep. Prog. Phys. 62, 1377 (1999); D. Dhar, Physica A 264, 1 (1999).
    • (1999) Physica A , vol.264 , pp. 1
    • Dhar, D.1
  • 8
    • 0034297805 scopus 로고    scopus 로고
    • A. Vespignani, R. Dickman, M.A. Muñoz, and S. Zapperi, Phys. Rev. Lett. 81, 5676 (1998); Phys. Rev. E 62, 4564 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 4564
  • 9
    • 0037061146 scopus 로고    scopus 로고
    • M. Alava, J. Phys.: Condens. Matter 14, 2353 (2003); B. Tadic and D. Dhar, Phys. Rev. Lett. 79, 1519 (1997); C.-C. Chen and M. den Nijs, Phys. Rev. E 65, 031309 (2002); J.M. Luck and A. Mehta, Europhys. Lett. 54, 573 (2001).
    • (2003) J. Phys.: Condens. Matter , vol.14 , pp. 2353
    • Alava, M.1
  • 10
    • 0000992702 scopus 로고    scopus 로고
    • M. Alava, J. Phys.: Condens. Matter 14, 2353 (2003); B. Tadic and D. Dhar, Phys. Rev. Lett. 79, 1519 (1997); C.-C. Chen and M. den Nijs, Phys. Rev. E 65, 031309 (2002); J.M. Luck and A. Mehta, Europhys. Lett. 54, 573 (2001).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1519
    • Tadic, B.1    Dhar, D.2
  • 11
    • 41349094530 scopus 로고    scopus 로고
    • M. Alava, J. Phys.: Condens. Matter 14, 2353 (2003); B. Tadic and D. Dhar, Phys. Rev. Lett. 79, 1519 (1997); C.-C. Chen and M. den Nijs, Phys. Rev. E 65, 031309 (2002); J.M. Luck and A. Mehta, Europhys. Lett. 54, 573 (2001).
    • (2002) Phys. Rev. E , vol.65 , pp. 031309
    • Chen, C.-C.1    Den Nijs, M.2
  • 12
    • 0035379520 scopus 로고    scopus 로고
    • M. Alava, J. Phys.: Condens. Matter 14, 2353 (2003); B. Tadic and D. Dhar, Phys. Rev. Lett. 79, 1519 (1997); C.-C. Chen and M. den Nijs, Phys. Rev. E 65, 031309 (2002); J.M. Luck and A. Mehta, Europhys. Lett. 54, 573 (2001).
    • (2001) Europhys. Lett. , vol.54 , pp. 573
    • Luck, J.M.1    Mehta, A.2
  • 16
    • 0002789119 scopus 로고    scopus 로고
    • We exclude those situations in which the boundary conditions are such that the steady state profile has macroscopic regions of different slopes, e.g., as in a heap of sand with open boundary conditions at both ends in which the present discussions apply to each half of the pile separately. Also are excluded systems with quenched disorder, e.g., as in G. Tripathy and M. Barma, Phys. Rev. Lett. 78, 3039 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3039
    • Tripathy, G.1    Barma, M.2
  • 18
    • 85069024316 scopus 로고    scopus 로고
    • note
    • 2 ≠ 0.
  • 20
    • 4244125608 scopus 로고
    • J.M. Carlson, J.T. Chayes, E.R. Grannan, and G.H. Swindle, Phys. Rev. Lett. 65, 2547 (1990); Phys. Rev. A 42, 2467 (1990).
    • (1990) Phys. Rev. A , vol.42 , pp. 2467
  • 21
    • 85069020293 scopus 로고    scopus 로고
    • note
    • xJ (z,x,t) = 0, with the diffusion constant diverging as at z = 3/2 for the LLS. However, for different models the critcal slope would be different from 3/2, and hence it is more natural to write the equation for ρ with the singularity always at ρ = 0.
  • 22
    • 85069028144 scopus 로고    scopus 로고
    • note
    • n(x,t) as for the spatially averaged ones.
  • 23
    • 85069021369 scopus 로고    scopus 로고
    • note
    • 1ρ+⋯.
  • 24
    • 85069010220 scopus 로고    scopus 로고
    • J. G. Oliveira, J.F.F. Mendes, and G. Tripathy (unpublished)
    • J. G. Oliveira, J.F.F. Mendes, and G. Tripathy (unpublished).
  • 25
    • 85069016093 scopus 로고    scopus 로고
    • note
    • 2 in the range of system sizes we study.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.