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Volumn 99, Issue 3-4, 2000, Pages 661-690

Internal diffusion-limited aggregation: Parallel algorithms and complexity

Author keywords

Computational complexity; Internal diffusion limited aggregation; Parallel algorithms

Indexed keywords


EID: 0034335552     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018627008925     Document Type: Article
Times cited : (26)

References (41)
  • 1
    • 0001051761 scopus 로고
    • On the computational complexity of Ising spin glass models
    • F. Barahona, On the computational complexity of Ising spin glass models, J. Phys. A 15:3241-3253 (1982).
    • (1982) J. Phys. A , vol.15 , pp. 3241-3253
    • Barahona, F.1
  • 2
    • 0021765862 scopus 로고
    • Fractal growth of copper electrodeposits
    • R. M. Brady and R. C. Ball, Fractal growth of copper electrodeposits, Nature 309:225-229 (1984).
    • (1984) Nature , vol.309 , pp. 225-229
    • Brady, R.M.1    Ball, R.C.2
  • 3
    • 33646984796 scopus 로고
    • Asymptotic behavior of densities for two-particle annihilating random walks
    • M. Bramson and J. L. Lebowitz, Asymptotic behavior of densities for two-particle annihilating random walks, J. Stat. Phys. 62:297-372 (1991).
    • (1991) J. Stat. Phys. , vol.62 , pp. 297-372
    • Bramson, M.1    Lebowitz, J.L.2
  • 4
    • 0002479868 scopus 로고
    • A theory of strict P-completeness, STAGS 1992
    • A. Condon, A theory of strict P-completeness, STAGS 1992, in Lecture Notes in Computer Science 577:33-44 (1992).
    • (1992) Lecture Notes in Computer Science , vol.577 , pp. 33-44
    • Condon, A.1
  • 5
    • 9744251040 scopus 로고    scopus 로고
    • The abelian sandpile and related models
    • D. Dhar, The Abelian sandpile and related models, Physica A 263:4-25 (1999).
    • (1999) Physica A , vol.263 , pp. 4-25
    • Dhar, D.1
  • 6
    • 0002538890 scopus 로고
    • A growth model, a game, an algebra, Lagrange inversion, and characteristic classes
    • P. Diaconis and W. Fulton, A growth model, a game, an algebra, Lagrange inversion, and characteristic classes, Rend. Sem. Mat. Univ. Pol. Torino 49:95-119 (1991).
    • (1991) Rend. Sem. Mat. Univ. Pol. Torino , vol.49 , pp. 95-119
    • Diaconis, P.1    Fulton, W.2
  • 7
    • 0001612436 scopus 로고    scopus 로고
    • A thermodynamically reversible generalization of diffusion-limited aggregation
    • R. M. D'Souza and N. H. Margolus, A thermodynamically reversible generalization of diffusion-limited aggregation, Phys. Rev. E. 60:264-274 (1999).
    • (1999) Phys. Rev. E. , vol.60 , pp. 264-274
    • D'Souza, R.M.1    Margolus, N.H.2
  • 8
    • 0001777627 scopus 로고
    • Fractal pattern formation in human retinal vessels
    • F. Family, B. R. Masters, and D. E. Platt. Fractal pattern formation in human retinal vessels, Physica D 38:98-103 (1989).
    • (1989) Physica D , vol.38 , pp. 98-103
    • Family, F.1    Masters, B.R.2    Platt, D.E.3
  • 9
    • 0009081742 scopus 로고    scopus 로고
    • Internal DLA and the Stefan problem
    • to appear
    • J. Gravner and J. Quastel, Internal DLA and the Stefan problem, Ann. Prob., to appear.
    • Ann. Prob.
    • Gravner, J.1    Quastel, J.2
  • 11
    • 0002528526 scopus 로고    scopus 로고
    • Life without death is P-complete
    • D. Griffeath and C. Moore, Life without death is P-complete, Complex Systems 10: 437-447 (1996).
    • (1996) Complex Systems , vol.10 , pp. 437-447
    • Griffeath, D.1    Moore, C.2
  • 12
    • 0030025244 scopus 로고    scopus 로고
    • Diffusion-regulated control of cellular dendritic morphogenesis
    • H. G. E. Hentschel and A. Fine, Diffusion-regulated control of cellular dendritic morphogenesis, Proc. R. Soc. Lond. B 263:1-8 (1996).
    • (1996) Proc. R. Soc. Lond. B , vol.263 , pp. 1-8
    • Hentschel, H.G.E.1    Fine, A.2
  • 14
    • 0000213543 scopus 로고
    • Kinetic roughening of Laplacian fronts
    • J. Krug and P. Meakin, Kinetic roughening of Laplacian fronts, Phys. Rev. Lett. 66:703 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 703
    • Krug, J.1    Meakin, P.2
  • 16
    • 0001475021 scopus 로고
    • Internal diffusion limited aggregation
    • G. Lawler, M. Bramson, and D. Griffeath, Internal diffusion limited aggregation, Ann. Prob. 20:2117-2140 (1992).
    • (1992) Ann. Prob. , vol.20 , pp. 2117-2140
    • Lawler, G.1    Bramson, M.2    Griffeath, D.3
  • 17
    • 0001793799 scopus 로고
    • Subdiffusive fluctuations for internal diffusion limited aggregation
    • G. Lawler, Subdiffusive fluctuations for internal diffusion limited aggregation, Ann. Prob. 23:71-86 (1995).
    • (1995) Ann. Prob. , vol.23 , pp. 71-86
    • Lawler, G.1
  • 18
    • 0001223260 scopus 로고
    • Universal computation in simple one-dimensional cellular automata
    • K. Lindgren and M. G. Nordahl, Universal computation in simple one-dimensional cellular automata, Complex Systems 4:299-318 (1990).
    • (1990) Complex Systems , vol.4 , pp. 299-318
    • Lindgren, K.1    Nordahl, M.G.2
  • 19
    • 21144459431 scopus 로고
    • The computational complexity of pattern formation
    • J. Machta, The computational complexity of pattern formation, J. Stat. Phys. 70:949 (1993).
    • (1993) J. Stat. Phys. , vol.70 , pp. 949
    • Machta, J.1
  • 20
    • 34249770091 scopus 로고
    • The parallel complexity of growth models
    • J. Machta and R. Greenlaw, The parallel complexity of growth models, J. Stat. Phys. 77:755 (1994).
    • (1994) J. Stat. Phys. , vol.77 , pp. 755
    • Machta, J.1    Greenlaw, R.2
  • 21
    • 0030534786 scopus 로고    scopus 로고
    • The computational complexity of generating random fractals
    • J. Machta and R. Greenlaw, The computational complexity of generating random fractals. J. Stat. Phys. 82:1299 (1996).
    • (1996) J. Stat. Phys. , vol.82 , pp. 1299
    • Machta, J.1    Greenlaw, R.2
  • 22
    • 0027836267 scopus 로고
    • A diffusion-limited aggregation model for the evolution of drainage networks
    • J. G. Masek and D. L. Turcotte, A diffusion-limited aggregation model for the evolution of drainage networks, Earth and Planetary Science Letters 119:379-386 (1993).
    • (1993) Earth and Planetary Science Letters , vol.119 , pp. 379-386
    • Masek, J.G.1    Turcotte, D.L.2
  • 23
    • 0026854469 scopus 로고
    • The complexity of circuit value and network stability
    • E. W. Mayr and A. Subramanian, The complexity of circuit value and network stability, J. Comput. System Sci. 44:302-323 (1992).
    • (1992) J. Comput. System Sci. , vol.44 , pp. 302-323
    • Mayr, E.W.1    Subramanian, A.2
  • 24
    • 33644879859 scopus 로고
    • The formation of surfaces by diffusion-limited annihilation
    • P. Meakin and J. M. Deutch, The formation of surfaces by diffusion-limited annihilation, J. Chem. Phys. 85:2320 (1986).
    • (1986) J. Chem. Phys. , vol.85 , pp. 2320
    • Meakin, P.1    Deutch, J.M.2
  • 26
    • 0033245925 scopus 로고    scopus 로고
    • The computational complexity of sandpiles
    • C. Moore and M. Nilsson, The computational complexity of sandpiles, J. Stat. Phys. 96:205-224 (1999).
    • (1999) J. Stat. Phys. , vol.96 , pp. 205-224
    • Moore, C.1    Nilsson, M.2
  • 27
    • 0031205949 scopus 로고    scopus 로고
    • Majority-Vote cellular automata, Ising dynamics, and P-completeness
    • C. Moore, Majority-Vote cellular automata, Ising dynamics, and P-completeness, J. Stat. Phys. 88:795-805 (1997).
    • (1997) J. Stat. Phys. , vol.88 , pp. 795-805
    • Moore, C.1
  • 29
    • 0031123111 scopus 로고    scopus 로고
    • Quasi-linear cellular automata
    • C. Moore, Quasi-linear cellular automata, Physica D 103:100-132 (1997); Proceedings of the International Workshop on Lattice Dynamics.
    • (1997) Physica D , vol.103 , pp. 100-132
    • Moore, C.1
  • 31
    • 0002809415 scopus 로고    scopus 로고
    • Predicting non-linear cellular automata quickly by decomposing them into linear ones
    • C. Moore, Predicting non-linear cellular automata quickly by decomposing them into linear ones, Physica D 111:27-41 (1998).
    • (1998) Physica D , vol.111 , pp. 27-41
    • Moore, C.1
  • 32
    • 0031160986 scopus 로고    scopus 로고
    • The computational complexity of the Lorentz lattice gas
    • K. Moriarty and J. Machta, The computational complexity of the Lorentz lattice gas, J. Stat. Phys. 87:1245 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 1245
    • Moriarty, K.1    Machta, J.2
  • 33
    • 0001165356 scopus 로고    scopus 로고
    • Optimized parallel algorithm and dynamic exponent lor diffusion-limited aggregation
    • K. Moriarty, J. Machta, and R. Greenlaw, Optimized parallel algorithm and dynamic exponent lor diffusion-limited aggregation, Phys. Rev. E 55:6211 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 6211
    • Moriarty, K.1    Machta, J.2    Greenlaw, R.3
  • 35
    • 0022440068 scopus 로고
    • Tip splitting without interfacial tension and dendritic growth patterns arising from molecular anisotropy
    • J. Nittmann and H. E. Stanley, Tip splitting without interfacial tension and dendritic growth patterns arising from molecular anisotropy, Nature 321:663 (1986).
    • (1986) Nature , vol.321 , pp. 663
    • Nittmann, J.1    Stanley, H.E.2
  • 36
    • 0001342819 scopus 로고
    • Non-deterministic approach to anisotropic growth patterns with continuously tunable morphology: The fractal properties of some real snowflakes
    • J. Nittmann and H. E. Stanley, Non-deterministic approach to anisotropic growth patterns with continuously tunable morphology: the fractal properties of some real snowflakes, J. Phys. A 20: L1185 (1987).
    • (1987) J. Phys. A , vol.20
    • Nittmann, J.1    Stanley, H.E.2
  • 38
    • 0000516669 scopus 로고
    • Diffusion-limited aggregation and two-fluid displacement in porous media
    • L. Paterson, Diffusion-limited aggregation and two-fluid displacement in porous media, Phys. Rev. Lett. 52:1621 (1984).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1621
    • Paterson, L.1
  • 39
    • 0001440726 scopus 로고
    • Diffusion-limited aggregation and the Saffman-Taylor problem
    • C. Tang, Diffusion-limited aggregation and the Saffman-Taylor problem, Phys. Rev. A 31: 1977 (1985).
    • (1985) Phys. Rev. A , vol.31 , pp. 1977
    • Tang, C.1
  • 40
    • 33744877288 scopus 로고
    • Particle-antiparticle annihilation in diffusive motion
    • D. Toussaint and F. Wilczek, Particle-antiparticle annihilation in diffusive motion, J. Chem. Phys. 78:2642-2647 (1983).
    • (1983) J. Chem. Phys. , vol.78 , pp. 2642-2647
    • Toussaint, D.1    Wilczek, F.2
  • 41
    • 4243632346 scopus 로고
    • Diffusion-limited aggregation: A kinetic critical phenomenon
    • T. Witten and L. Sander, Diffusion-limited aggregation: a kinetic critical phenomenon, Phys. Rev. Lett. 47:1400-1403 (1981).
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1400-1403
    • Witten, T.1    Sander, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.