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Volumn 62, Issue 1 A, 2000, Pages 161-173

Multiparticle biased diffusion-limited aggregation with surface diffusion: A comprehensive model of electrodeposition

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; ALGORITHMS; DIFFUSION; INTERFACES (MATERIALS); MATHEMATICAL MODELS;

EID: 0034224714     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.161     Document Type: Article
Times cited : (48)

References (67)
  • 20
    • 0343783830 scopus 로고    scopus 로고
    • Ph.D. thesis, Universidad Nacional de Educación a Distancia (Spain)
    • J. M. Pastor, Ph.D. thesis, Universidad Nacional de Educación a Distancia (Spain), 1997.
    • (1997)
    • Pastor, J.M.1
  • 31
    • 24044538358 scopus 로고
    • R. F. Voss, Phys. Rev. B 30, 334 (1984); J. Stat. Phys. 36, 861 (1984).
    • (1984) Phys. Rev. B , vol.30 , pp. 334
    • Voss, R.F.1
  • 32
    • 0343783826 scopus 로고
    • R. F. Voss, Phys. Rev. B 30, 334 (1984); J. Stat. Phys. 36, 861 (1984).
    • (1984) J. Stat. Phys. , vol.36 , pp. 861
  • 34
    • 0343348136 scopus 로고
    • T. Nagatani and F. Sagués, Phys. Rev. A 44, 6723 (1991); 44, 8303 (1991); T. Nagatani, ibid. 46, 2022 (1992).
    • (1991) Phys. Rev. A , vol.44 , pp. 6723
    • Nagatani, T.1    Sagués, F.2
  • 35
    • 25344431610 scopus 로고
    • T. Nagatani and F. Sagués, Phys. Rev. A 44, 6723 (1991); 44, 8303 (1991); T. Nagatani, ibid. 46, 2022 (1992).
    • (1991) Phys. Rev. A , vol.44 , pp. 8303
  • 36
    • 0343783825 scopus 로고
    • T. Nagatani and F. Sagués, Phys. Rev. A 44, 6723 (1991); 44, 8303 (1991); T. Nagatani, ibid. 46, 2022 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 2022
    • Nagatani, T.1
  • 42
    • 0001039141 scopus 로고
    • 2/3 [see J.-N. Chazalviel, Phys. Rev. A 42, 7355 (1990)]. For the experiments we have compared to or just referred to in our paper, this region ranges from 10 to 100 μm. Comparing the maximum value (100 μm) with the characteristic lateral width of the resulting branches (the order of magnitude of this width is 1 mm), we find that these branches are five times wider than the depletion zone. Translating that into the units of our model we see that for large applied electric field simulations (large p values, in terms of our model), the resulting branch width (of about 50 lattice spacings) gives a depletion zone of about 10 lattice spacings (consistent, as it should be, with the profiles shown in Fig. 2). Thus, for small applied voltages the model is accurate enough, although in the worst case (we have assumed above the worst scenario) some discrepancies might appear for large voltages. However, in this case we expect that due to the large value of p (the current) and the absence of particles next to the aggregate, cations are driven ballistically to it.
    • (1990) Phys. Rev. A , vol.42 , pp. 7355
    • Chazalviel, J.-N.1
  • 43
    • 0030394132 scopus 로고    scopus 로고
    • W. Huang and D. B. Hibbert, Physica A 233, 888 (1996); a similar model is studied by J. Heinonen, I. Bukharev, T. AlaNissila, and J. M. Kosterlitz, Phys. Rev. E 57, 6851 (1998) in the, context of step flow dynamics.
    • (1996) Physica A , vol.233 , pp. 888
    • Huang, W.1    Hibbert, D.B.2
  • 44
    • 0000476665 scopus 로고    scopus 로고
    • in the context of step flow dynamics
    • W. Huang and D. B. Hibbert, Physica A 233, 888 (1996); a similar model is studied by J. Heinonen, I. Bukharev, T. AlaNissila, and J. M. Kosterlitz, Phys. Rev. E 57, 6851 (1998) in the context of step flow dynamics.
    • (1998) Phys. Rev. E , vol.57 , pp. 6851
    • Heinonen, J.1    Bukharev, I.2    Alanissila, T.3    Kosterlitz, J.M.4
  • 45
    • 0342912912 scopus 로고    scopus 로고
    • note
    • c depend locally on the concentration field C(x,t), as C. Léger et al. have reported [8].
  • 46
    • 0342912194 scopus 로고    scopus 로고
    • note
    • We stress that even if the probabilities are different from those in Refs. [16] and [23], the drift velocity toward the cathode can be shown in all cases to be proportional to p.
  • 50
    • 0031097281 scopus 로고    scopus 로고
    • See the review by J. Krug, Adv. Phys. 46, 139 (1997).
    • (1997) Adv. Phys. , vol.46 , pp. 139
    • Krug, J.1
  • 57
    • 0001433059 scopus 로고    scopus 로고
    • J. M. López, M. A. Rodríguez, and R. Cuerno, Phys. Rev. E 56, 3993 (1997); Physica A 246, 329 (1997).
    • (1997) Physica A , vol.246 , pp. 329
  • 64
    • 0001776828 scopus 로고
    • J. Villain, J. Phys. I 1, 19 (1991); Z.-W. Lai and S. Das Sarma, Phys. Rev. Lett. 66, 2348 (1991).
    • (1991) J. Phys. I , vol.1 , pp. 19
    • Villain, J.1


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