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Conductivity exponents in stick percolation
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Electronics.
2010 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 81, no 2, 021120- p.Article in journal (Refereed) Published
Abstract [en]

On the basis of Monte Carlo simulations, the present work systematically investigates how conductivity exponents depend on the ratio of stick-stick junction resistance to stick resistance for two-dimensional stick percolation. Simulation results suggest that the critical conductivity exponent extracted from size-dependent conductivities of systems exactly at the percolation threshold is independent of the resistance ratio and has a constant value of 1.280±0.014. In contrast, the apparent conductivity exponent extracted from density-dependent conductivities of systems well above the percolation threshold monotonically varies with the resistance ratio, following an error function, and lies in the vicinity of the critical exponent.

Place, publisher, year, edition, pages
American Physical Society , 2010. Vol. 81, no 2, 021120- p.
National Category
Physical Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-119266DOI: 10.1103/PhysRevE.81.021120ISI: 000275053700032OAI: oai:DiVA.org:uu-119266DiVA: diva2:299917
Note

Copyright (C) 2010 The American Physical Society Please report any problems to prola@aps.org PRE

Available from: 2010-02-24 Created: 2010-02-24 Last updated: 2017-12-12Bibliographically approved

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Zhang, Shi-Li

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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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