-
3
-
-
0001281598
-
-
M. Matsushita, M. Sano, Y. Hayakawa, H. Honjo, and Y. Sawada, Phys. Rev. Lett. 53, 286 (1984).
-
(1984)
Phys. Rev. Lett.
, vol.53
, pp. 286
-
-
Matsushita, M.1
Sano, M.2
Hayakawa, Y.3
Honjo, H.4
Sawada, Y.5
-
4
-
-
4243734213
-
-
D. Grier, E. Ben-Jacob, R. Clarke, and L. M. Sander, Phys. Rev. Lett. 56, 1264 (1986).
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 1264
-
-
Grier, D.1
Ben-Jacob, E.2
Clarke, R.3
Sander, L.M.4
-
7
-
-
0000084434
-
-
and references therein
-
V. Fleury, M. Rosso, J.-N. Chazalviel, and B. Sapoval, Phys. Rev. A 44, 6693 (1991), and references therein.
-
(1991)
Phys. Rev. A
, vol.44
, pp. 6693
-
-
Fleury, V.1
Rosso, M.2
Chazalviel, J.-N.3
Sapoval, B.4
-
11
-
-
0000796764
-
-
P. P. Trigueros, J. Claret, F. Mas, and F. Sagués, J. Electroanal. Chem. Interfacial Electrochem. 312, 219 (1991).
-
(1991)
J. Electroanal. Chem. Interfacial Electrochem.
, vol.312
, pp. 219
-
-
Trigueros, P.P.1
Claret, J.2
Mas, F.3
Sagués, F.4
-
14
-
-
0000062268
-
-
F. Argoul, A. Arneodo, G. Grasseau, and H. L. Swinney, Phys. Rev. Lett. 61, 2558 (1988).
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2558
-
-
Argoul, F.1
Arneodo, A.2
Grasseau, G.3
Swinney, H.L.4
-
17
-
-
0000436534
-
-
and references therein
-
M.-Q. López-Salvans, F. Sagués, J. Claret, and J. Bassas, Phys. Rev. E 56, 6869 (1997), and references therein.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 6869
-
-
López-Salvans, M.-Q.1
Sagués, F.2
Claret, J.3
Bassas, J.4
-
18
-
-
4243892610
-
-
M.-Q. López-Salvans, P. P. Trigueros, S. Vallmitjana, J. Claret, and F. Sagués, Phys. Rev. Lett. 76, 4062 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4062
-
-
López-Salvans, M.-Q.1
Trigueros, P.P.2
Vallmitjana, S.3
Claret, J.4
Sagués, F.5
-
20
-
-
0343783830
-
-
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
-
21
-
-
3843078276
-
-
G. L. M. K. S. Kahanda, X.-Q. Zhou, R. Farrell, and P.-Z. Wong, Phys. Rev. Lett. 68, 3741 (1992).
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 3741
-
-
Kahanda, G.L.M.K.S.1
Zhou, X.-Q.2
Farrell, R.3
Wong, P.-Z.4
-
23
-
-
0000746565
-
-
M. Castro, R. Cuerno, A. Sánchez, and F. Domínguez-Adame, Phys. Rev. E 57, R2491 (1998).
-
(1998)
Phys. Rev. E
, vol.57
-
-
Castro, M.1
Cuerno, R.2
Sánchez, A.3
Domínguez-Adame, F.4
-
24
-
-
0000489733
-
-
P. L. Schilardi, O. Azzaroni, R. C. Salvarezza, and A. J. Arvia, Phys. Rev. B 59, 4638 (1999).
-
(1999)
Phys. Rev. B
, vol.59
, pp. 4638
-
-
Schilardi, P.L.1
Azzaroni, O.2
Salvarezza, R.C.3
Arvia, A.J.4
-
27
-
-
0000274043
-
-
P. Keblinski, A. Maritan, F. Toigo, R. Messier, and J. R. Banavar, Phys. Rev. E 53, 759 (1996).
-
(1996)
Phys. Rev. E
, vol.53
, pp. 759
-
-
Keblinski, P.1
Maritan, A.2
Toigo, F.3
Messier, R.4
Banavar, J.R.5
-
31
-
-
24044538358
-
-
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
-
-
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
-
-
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
-
-
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
-
-
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
-
39
-
-
0000297440
-
-
J. Huth, H. Swinney, W. McCormick, A. Kuhn, and F. Argoul, Phys. Rev. E 51, 3444 (1995).
-
(1995)
Phys. Rev. E
, vol.51
, pp. 3444
-
-
Huth, J.1
Swinney, H.2
McCormick, W.3
Kuhn, A.4
Argoul, F.5
-
40
-
-
0030141426
-
-
J.-N. Chazalviel, M. Rosso, E. Chassaing, and V. Fleury, J. Electroanal. Chem. 407, 61 (1996).
-
(1996)
J. Electroanal. Chem.
, vol.407
, pp. 61
-
-
Chazalviel, J.-N.1
Rosso, M.2
Chassaing, E.3
Fleury, V.4
-
42
-
-
0001039141
-
-
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
-
-
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
-
-
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
-
-
note
-
c depend locally on the concentration field C(x,t), as C. Léger et al. have reported [8].
-
-
-
-
46
-
-
0342912194
-
-
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
-
-
See the review by J. Krug, Adv. Phys. 46, 139 (1997).
-
(1997)
Adv. Phys.
, vol.46
, pp. 139
-
-
Krug, J.1
-
51
-
-
0001480476
-
-
S. Das Sarma, C. J. Lanczycki, S. V. Ghaisas, and J. M. Kim, Phys. Rev. B 49, 10 693 (1994).
-
(1994)
Phys. Rev. B
, vol.49
, pp. 10693
-
-
Das Sarma, S.1
Lanczycki, C.J.2
Ghaisas, S.V.3
Kim, J.M.4
-
54
-
-
84956101117
-
-
M. Schroeder, M. Siegert, D. E. Wolf, J. D. Shore, and M. Plischke, Europhys. Lett. 24, 563 (1993).
-
(1993)
Europhys. Lett.
, vol.24
, pp. 563
-
-
Schroeder, M.1
Siegert, M.2
Wolf, D.E.3
Shore, J.D.4
Plischke, M.5
-
56
-
-
0001433059
-
-
J. M. López, M. A. Rodríguez, and R. Cuerno, Phys. Rev. E 56, 3993 (1997); Physica A 246, 329 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 3993
-
-
López, J.M.1
Rodríguez, M.A.2
Cuerno, R.3
-
57
-
-
0001433059
-
-
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
-
-
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
|