메뉴 건너뛰기




Volumn 15, Issue , 2011, Pages 37-43

Watersheds and explosive percolation

Author keywords

Discontinuous phase transitions; Explosive percolation; Fractal interface; Percolation threshold; Watershed

Indexed keywords

EXPLOSIVES; FRACTAL DIMENSION; FRACTALS; PERCOLATION (FLUIDS); SOLVENTS; STOCHASTIC SYSTEMS; WATERSHEDS;

EID: 84856920589     PISSN: 18753884     EISSN: 18753892     Source Type: Conference Proceeding    
DOI: 10.1016/j.phpro.2011.05.057     Document Type: Conference Paper
Times cited : (6)

References (37)
  • 4
    • 0041855748 scopus 로고
    • On the random-cluster model. I. introduction and relation to other models
    • C. M. Fortuin, P. W. Kasteleyn, On the random-cluster model. I. introduction and relation to other models, Physica 57 (1972) 536.
    • (1972) Physica , vol.57 , pp. 536
    • Fortuin, C.M.1    Kasteleyn, P.W.2
  • 5
    • 62449178107 scopus 로고    scopus 로고
    • Explosive percolation in random networks
    • D. Achlioptas, R. M. D'Souza, J. Spencer, Explosive percolation in random networks, Science 323 (2009) 1453.
    • (2009) Science , vol.323 , pp. 1453
    • Achlioptas, D.1    D'souza, R.M.2    Spencer, J.3
  • 6
    • 77954829237 scopus 로고    scopus 로고
    • Explosive percolation via control of the largest cluster
    • N. A. M. Araújo, H. J. Herrmann, Explosive percolation via control of the largest cluster, Phys. Rev. Lett. 105 (2010) 035701.
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 035701
    • Araújo, N.A.M.1    Herrmann, H.J.2
  • 7
    • 72449174466 scopus 로고    scopus 로고
    • Construction and analysis of random networks with explosive percolation
    • E. J. Friedman, A. S. Landsberg, Construction and analysis of random networks with explosive percolation, Phys. Rev. Lett. 103 (2009) 255701.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 255701
    • Friedman, E.J.1    Landsberg, A.S.2
  • 9
    • 77950105290 scopus 로고    scopus 로고
    • Cluster aggregation model for discontinuous percolation transition
    • Y. S. Cho, B. Kahng, D. Kim, Cluster aggregation model for discontinuous percolation transition, Phys. Rev. E 81 (2010) 030103(R).
    • (2010) Phys. Rev. e , vol.81 , pp. 030103
    • Cho, Y.S.1    Kahng, B.2    Kim, D.3
  • 10
    • 77952366183 scopus 로고    scopus 로고
    • Local cluster aggregation models of explosive percolation
    • R. M. D'Souza, M. Mitzenmacher, Local cluster aggregation models of explosive percolation, Phys. Rev. Lett. 104 (2010) 195702.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 195702
    • D'souza, R.M.1    Mitzenmacher, M.2
  • 11
    • 78649334590 scopus 로고    scopus 로고
    • A new route to explosive percolation
    • S. S. Manna, A. Chatterjee, A new route to explosive percolation, Physica A 390 (2010) 177.
    • (2010) Physica A , vol.390 , pp. 177
    • Manna, S.S.1    Chatterjee, A.2
  • 13
    • 68749111618 scopus 로고    scopus 로고
    • Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks
    • R. M. Ziff, Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks, Phys. Rev. Lett. 103 (2009) 045701.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 045701
    • Ziff, R.M.1
  • 14
    • 78650276110 scopus 로고    scopus 로고
    • Scaling behavior of explosive percolation on the square lattice
    • R. M. Ziff, Scaling behavior of explosive percolation on the square lattice, Phys. Rev. E 82 (2010) 051105.
    • (2010) Phys. Rev. e , vol.82 , pp. 051105
    • Ziff, R.M.1
  • 15
    • 70349900726 scopus 로고    scopus 로고
    • Explosive percolation in scale-free networks
    • F. Radicchi, S. Fortunato, Explosive percolation in scale-free networks, Phys. Rev. Lett. 103 (2009) 168701.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 168701
    • Radicchi, F.1    Fortunato, S.2
  • 16
    • 77949708994 scopus 로고    scopus 로고
    • Explosive percolation: A numerical analysis
    • F. Radicchi, S. Fortunato, Explosive percolation: a numerical analysis, Phys. Rev. E 81 (2010) 036110.
    • (2010) Phys. Rev. e , vol.81 , pp. 036110
    • Radicchi, F.1    Fortunato, S.2
  • 17
    • 70349449394 scopus 로고    scopus 로고
    • Percolation transitions in scale-free networks under the Achlioptas process
    • Y. S. Cho, J. S. Kim, J. Park, B. Kahng, D. Kim, Percolation transitions in scale-free networks under the Achlioptas process, Phys. Rev. Lett. 103 (2009) 135702.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 135702
    • Cho, Y.S.1    Kim, J.S.2    Park, J.3    Kahng, B.4    Kim, D.5
  • 20
    • 0001244136 scopus 로고    scopus 로고
    • Optimal paths in disordered media: Scaling of the crossover from self-similar to self-affine behavior
    • M. Porto, N. Schwartz, S. Havlin, A. Bunde, Optimal paths in disordered media: scaling of the crossover from self-similar to self-affine behavior, Phys. Rev. E 60 (1999) R2448.
    • (1999) Phys. Rev. e , vol.60
    • Porto, M.1    Schwartz, N.2    Havlin, S.3    Bunde, A.4
  • 24
    • 79952448113 scopus 로고    scopus 로고
    • Impact of single links in competitive percolation
    • to appear
    • J. Nagler, A. Levina, M. Timme, Impact of single links in competitive percolation, to appear in Nat. Phys. (2011).
    • (2011) Nat Phys.
    • Nagler, J.1    Levina, A.2    Timme, M.3
  • 27
    • 77954565132 scopus 로고    scopus 로고
    • Explosive percolation in the human protein homology network
    • H. D. Rozenfeld, L. K. Gallos, H. A. Makse, Explosive percolation in the human protein homology network, Eur. Phys. J. B 75 (2010) 305.
    • (2010) Eur. Phys. J. B , vol.75 , pp. 305
    • Rozenfeld, H.D.1    Gallos, L.K.2    Makse, H.A.3
  • 30
    • 7244229813 scopus 로고    scopus 로고
    • Universality classes in nonequilibrium lattice systems
    • G. Ódor, Universality classes in nonequilibrium lattice systems, Rev. Mod. Phys. 76 (2004) 663.
    • (2004) Rev. Mod. Phys. , vol.76 , pp. 663
    • Ódor, G.1
  • 31
    • 4243777415 scopus 로고
    • Finite size scaling analysis of Ising model block distribution functions
    • K. Binder, Finite size scaling analysis of Ising model block distribution functions, Z. Phys. B 43 (1981) 119.
    • (1981) Z. Phys. B , vol.43 , pp. 119
    • Binder, K.1
  • 32
    • 0000349936 scopus 로고
    • Finite-size scaling at first-order phase transitions
    • K. Binder, D. P. Landau, Finite-size scaling at first-order phase transitions, Phys. Rev. B 30 (1984) 1477.
    • (1984) Phys. Rev. B , vol.30 , pp. 1477
    • Binder, K.1    Landau, D.P.2
  • 34
    • 0038795638 scopus 로고
    • Surface fractals in irreversible aggregation
    • M. Kolb, H. J. Herrmann, Surface fractals in irreversible aggregation, Phys. Rev. Lett. 59 (1987) 454.
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 454
    • Kolb, M.1    Herrmann, H.J.2
  • 36
    • 4243525013 scopus 로고
    • Optimal paths and domain walls in the strong disorder limit
    • M. Cieplak, A. Maritan, J. R. Banavar, Optimal paths and domain walls in the strong disorder limit, Phys. Rev. Lett. 72 (1994) 2320.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2320
    • Cieplak, M.1    Maritan, A.2    Banavar, J.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.