Relaxation Times of an Electrolytic Cell Subject to an External Electric Field: Role of Ambipolar and Free Diffusion Phenomena
We evaluate the relaxation times for an electrolytic cell subject to a step-like external voltage, in the case in which the mobility of negative ions is different from that of positive ions. The electrodes of the cell, in the shape of a slab, are supposed to be perfectly blocking. The theoretical an...
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| Published in | The journal of physical chemistry. B Vol. 111; no. 46; pp. 13287 - 13293 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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United States
American Chemical Society
22.11.2007
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| Abstract | We evaluate the relaxation times for an electrolytic cell subject to a step-like external voltage, in the case in which the mobility of negative ions is different from that of positive ions. The electrodes of the cell, in the shape of a slab, are supposed to be perfectly blocking. The theoretical analysis is performed by assuming that the applied voltage is so small that the fundamental equations of the problem can be linearized. In this framework, the eigenvalues equations defining all relaxation times of the problem are deduced. In the numerical analysis, we solve the complete set of equations describing the time evolution of the system under the action of the external voltage. Two relaxation processes, connected with the ambipolar and free diffusion phenomena, are sufficient to describe the dynamics of the system, when the diffusion coefficients are of the same order of magnitude. |
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| AbstractList | We evaluate the relaxation times for an electrolytic cell subject to a step-like external voltage, in the case in which the mobility of negative ions is different from that of positive ions. The electrodes of the cell, in the shape of a slab, are supposed to be perfectly blocking. The theoretical analysis is performed by assuming that the applied voltage is so small that the fundamental equations of the problem can be linearized. In this framework, the eigenvalues equations defining all relaxation times of the problem are deduced. In the numerical analysis, we solve the complete set of equations describing the time evolution of the system under the action of the external voltage. Two relaxation processes, connected with the ambipolar and free diffusion phenomena, are sufficient to describe the dynamics of the system, when the diffusion coefficients are of the same order of magnitude. We evaluate the relaxation times for an electrolytic cell subject to a step-like external voltage, in the case in which the mobility of negative ions is different from that of positive ions. The electrodes of the cell, in the shape of a slab, are supposed to be perfectly blocking. The theoretical analysis is performed by assuming that the applied voltage is so small that the fundamental equations of the problem can be linearized. In this framework, the eigenvalues equations defining all relaxation times of the problem are deduced. In the numerical analysis, we solve the complete set of equations describing the time evolution of the system under the action of the external voltage. Two relaxation processes, connected with the ambipolar and free diffusion phenomena, are sufficient to describe the dynamics of the system, when the diffusion coefficients are of the same order of magnitude.We evaluate the relaxation times for an electrolytic cell subject to a step-like external voltage, in the case in which the mobility of negative ions is different from that of positive ions. The electrodes of the cell, in the shape of a slab, are supposed to be perfectly blocking. The theoretical analysis is performed by assuming that the applied voltage is so small that the fundamental equations of the problem can be linearized. In this framework, the eigenvalues equations defining all relaxation times of the problem are deduced. In the numerical analysis, we solve the complete set of equations describing the time evolution of the system under the action of the external voltage. Two relaxation processes, connected with the ambipolar and free diffusion phenomena, are sufficient to describe the dynamics of the system, when the diffusion coefficients are of the same order of magnitude. |
| Author | Barbero, G Alexe-Ionescu, A. L Scalerandi, M Lelidis, I |
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| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/17973516$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1103/PhysRevE.70.021506 10.1016/j.physleta.2005.06.038 10.1080/10587250008023249 10.1103/PhysRevE.73.051202 10.1103/PhysRevE.70.031605 10.1080/02678290500228105 10.1080/10587250108028622 10.1063/1.2393040 10.1021/jp062271n 10.1016/0895-7177(93)90115-F 10.1063/1.2137444 10.1143/JJAP.38.1423 |
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| References | Lifshitz E. (jp0742160b00012/jp0742160b00012_1) 1997; 6 Freire F. C. M. (jp0742160b00004/jp0742160b00004_1) 2006; 89 Bougrioua F. (jp0742160b00001/jp0742160b00001_1) 2001; 367 Israelachvili J. (jp0742160b00011/jp0742160b00011_1) 1995 Sawada A. (jp0742160b00014/jp0742160b00014_1) 1999; 38 Kaniadakis G. (jp0742160b00017/jp0742160b00017_1) 1993; 17 Lifshitz E. M. (jp0742160b00006/jp0742160b00006_1) 1997; 10 Barbero G. (jp0742160b00016/jp0742160b00016_1) 2004; 70 Barbero G. (jp0742160b00007/jp0742160b00007_1) 2005; 98 Zhang H. (jp0742160b00002/jp0742160b00002_1) 2000; 351 Bazant M. Z. (jp0742160b00003/jp0742160b00003_1) 2004; 70 Lifshitz E. M. (jp0742160b00008/jp0742160b00008_1) 1997; 8 Barbero G. (jp0742160b00005/jp0742160b00005_1) 2006; 110 Barbero G. (jp0742160b00010/jp0742160b00010_1) 2005; 32 Freire F. C. M. (jp0742160b00018/jp0742160b00018_1) 2006; 73 Atkins P. W. (jp0742160b00009/jp0742160b00009_1) 2000 Lelidis I. (jp0742160b00013/jp0742160b00013_1) 2005; 343 |
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| Title | Relaxation Times of an Electrolytic Cell Subject to an External Electric Field: Role of Ambipolar and Free Diffusion Phenomena |
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