Hostname: page-component-7479d7b7d-q6k6v Total loading time: 0 Render date: 2024-07-08T13:51:10.816Z Has data issue: false hasContentIssue false

Monte-Carlo Simulation of Three Dimensional Ion Dynamics in Polymers

Published online by Cambridge University Press:  21 March 2011

A. Wagner
Affiliation:
Institute of Electrical Engineering Physics, Saarland University, D-66041 Saarbruecken, Germany
H. Kliem
Affiliation:
Institute of Electrical Engineering Physics, Saarland University, D-66041 Saarbruecken, Germany
Get access

Abstract

Dynamic Monte-Carlo simulations of three dimensional ion motions are carried out based on a multi-well potential model. A parallel plate capacitor is modeled with an ionic conducting polymer having two ideal blocking electrodes. Positive ions (maximum 1000) are located on a cubic lattice with a maximum size of 100×100×100 locations. A negative background charge, constant in space and time, is used to provide charge neutrality. The positive ions can perform hops between neighboring sites with a probability corresponding to distributed energy barriers. To calculate the potentials due to an interaction of the ions the method of images is used. The steady state and the dynamic properties are studied after application of a voltage step in dependence on the sample thickness, the ion concentration and the voltage. A simulation of a space charge polarization yields an explanation for the experiments in the time and in the frequency domain.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Schweidler, E. v., Ann. Phys. 24, 711770 (1907)Google Scholar
2. Kliem, H., Arlt, G., Phys. Stat. Sol. (b) 155, 309 (1989)Google Scholar
3. Druger, Stephen D., J. Chem. Phys. 100 (5) 3979 (1994)Google Scholar
4. Davidson, Jill E., Ingram, Malcolm D., Bunde, Armin, Funke, Klaus, J. Non-Cryst. Sol. 203 246251 (1996)10.1016/0022-3093(96)00355-9Google Scholar
5. Dieterich, W., Knödler, D., Penzig, P., J. Non-Cryst. Sol. 172–174 12371242 (1994)Google Scholar
6. Kliem, H., Schröder, K., and Bauhofer, W., CEIDP Ann. Rep. pp. 1215 (1996)Google Scholar
7. Wagner, A., Kliem, H., MRS symp. proc. 548, pp.353358 (1998)Google Scholar
8. Sinitzski, Alexei, Schmidt, V. Hugo, Phys. Rev. B 54 842 (1996)Google Scholar