Abstract:
A generalized three-dimensional model for ion transport in electrodeposition is introduced. Ion transport is mainly governed by diffusion, migration, and convection. When convection prevails, in particular, in the limiting case of gravity-driven convection, the model predicts concentration shells and convection rolls and their interaction mode with a deposit tip: shell and roll bend and surround the tip forming a three-dimensional envelope tube squeezed at the deposit tip. In the limiting case of electrically driven convection, a vortex ring and an electric spherical drop crowning the deposit tip are predicted. When gravity and electric convection are both relevant, the interaction of ramified deposits, vortex tubes and rings, and electric spherical drops, leading to complex helicoidal flow, is predicted. Many of these predictions are experimentally observed, suggesting that ion transport underlying dendrite growth is remarkably well captured by our model. © 2003 The American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Three-dimensional nature of ion transport in thin-layer electrodeposition |
Autor: | Marshall, G.; Mocskos, E.; Molina, F.V.; Dengra, S. |
Filiación: | Laboratorio de Sistemas Complejos, FCEN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina INQUIMAE, FCEN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina Consejo Nacional de Investigaciones Cientificas y Tecnicas, Buenos Aires, 1428, Argentina
|
Año: | 2003
|
Volumen: | 68
|
Número: | 2
|
Página de inicio: | 8
|
DOI: |
http://dx.doi.org/10.1103/PhysRevE.68.021607 |
Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|
Título revista abreviado: | Phys Rev E.
|
ISSN: | 1063651X
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v68_n2_p8_Marshall |
Referencias:
- T. Vicsek, Fractal Growth Phenomena, 2nd ed. (World Scientific, Singapore, 1992); Argoul, F., Huth, J., Merzeau, P., Arneodo, A., Swinney, H.L., (1993) Physica D, 62, p. 170
- Brady, R.M., Ball, (1984) Nature (London), 309, p. 225
- Fleury, V., Chazalviel, J.N., Rosso, M., Sapoval, B., (1991) Phys. Rev. A, 44, p. 6693
- Fleury, V., Chazalviel, J.N., Rosso, M., (1992) Phys. Rev. Lett., 68, p. 2492
- Fleury, V., Chazalviel, J.N., Rosso, M., (1993) Phys. Rev. E, 48, p. 1279
- Fleury, V., Kaufman, J., Hibbert, B., (1994) Nature (London), 367, p. 435
- Linehan, K.A., de Bruyn, J.R., (1995) Can. J. Phys., 73, p. 177
- Fleury, V., Rosso, M., Chazalviel, J.N., Mater. Res. Soc. Symp. Proc., 367, p. 183. , F. Family, B. Sapoval, P. Meakin, and R. Wool
- V. Fleury, M. Rosso, and J.-N. Chazalviel, in Defect Structure, Morphology and Properties of Deposits, edited by H.D. Merchant (The Mineral, Metals and Materials Society, Warrendale, PA, 1995), p. 195; V. Fleury and J.-N. Chazalviel, in Fractal Aspect of Materials (Ref. 9), p. 169; Huth, J., Swinney, H., McCormick, W., Kuhn, A., Argoul, F., (1995) Phys. Rev. E, 51, p. 3444
- Barkey, D., Watt, D., Liu, Z., Raber, S., (1994) J. Electrochem. Soc., 141, p. 1206
- Leger, C., Elezgaray, J., Argoul, F., (1997) Phys. Rev. Lett., 78, p. 5010
- Chazalviel, J.N., (1990) Phys. Rev. A, 42, p. 7355
- Marshall, G., Perone, E., Tarela, P., Mocskos, P., (1995) Chaos, Solitons Fractals, 6, p. 315
- Marshall, G., Mocskos, P., (1997) Phys. Rev. E, 55, p. 549
- Marshall, G., Mocskos, P., Swinney, H.L., Huth, J.M., (1999) Phys. Rev. E, 59, p. 2157
- Dengra, S., Marshall, G., Molina, F., (2000) J. Phys. Soc. Jpn., 69, p. 963
- Gonzalez, G., Marshall, G., Molina, F.V., Dengra, S., Rosso, M., (2001) J. Electrochem. Soc., 148, pp. C479
- Gonzalez, G., Marshall, G., Molina, F.V., Dengra, S., (2002) Phys. Rev. E, 65, p. 51607
- Bradley, J.C., Chen, H.M., Crawford, J., Eckert, J., Ernazarova, K., Kurzeja, T., Lin, M., Stephens, S.M., (1997) Nature (London), 389, p. 268
- Bradley, J.C., Dengra, S., Gonzalez, G.A., Marshall, G., Molina, F.V., (1999) J. Electroanal. Chem., 478, p. 128
- Hermanson, K.D., Lumsdon, S.O., Williams, J.P., Kaler, E.W., Velev, O.D., (2001) Science, 294, p. 1082
- Fukunaka, Y., Okano, K., Tomii, Y., Asaki, Z., (1998) J. Electrochem. Soc., 145, p. 1876
- A.J. Bard and L.R. Faulkner, Electrochemical Methods, Fundamentals and Applications (Wiley, New York, 1980); J.S. Newman, Electrochemical Systems (Prentice Hall, Englewood Cliffs, NJ, 1973); Ronald F. Probstein, Physicochemical Hydrodynamics, An Introduction (Wiley, New York, 1994); V.G. Levich, Physicochemical Hydrodynamics (Prentice Hall, Englewood Cliffs, NJ, 1962); Mallinson, G.D., de Vahl Davis, G., (1973) J. Comput. Phys., 12, p. 435
- Pietronero, L., Weismann, H.J., (1984) J. Stat. Phys., 36, p. 909
- The latest version of OPENDX for Linux is available over the World Wide Web at http://www. opendx. org
Citas:
---------- APA ----------
Marshall, G., Mocskos, E., Molina, F.V. & Dengra, S.
(2003)
. Three-dimensional nature of ion transport in thin-layer electrodeposition. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68(2), 8.
http://dx.doi.org/10.1103/PhysRevE.68.021607---------- CHICAGO ----------
Marshall, G., Mocskos, E., Molina, F.V., Dengra, S.
"Three-dimensional nature of ion transport in thin-layer electrodeposition"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 68, no. 2
(2003) : 8.
http://dx.doi.org/10.1103/PhysRevE.68.021607---------- MLA ----------
Marshall, G., Mocskos, E., Molina, F.V., Dengra, S.
"Three-dimensional nature of ion transport in thin-layer electrodeposition"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 68, no. 2, 2003, pp. 8.
http://dx.doi.org/10.1103/PhysRevE.68.021607---------- VANCOUVER ----------
Marshall, G., Mocskos, E., Molina, F.V., Dengra, S. Three-dimensional nature of ion transport in thin-layer electrodeposition. Phys Rev E. 2003;68(2):8.
http://dx.doi.org/10.1103/PhysRevE.68.021607