Numerical simulations of stick percolation: Application to the study of structured magnetorheologial elastomers
Autor: | Ricardo Martin Negri, José Luis Mietta, Pablo Ignacio Tamborenea |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: |
Physics
Condensed Matter - Materials Science Ciencias Físicas Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) purl.org/becyt/ford/1.3 [https] Condensed Matter - Soft Condensed Matter Condensed Matter - Disordered Systems and Neural Networks Magnetorheological Elastomers Numerical Simulations Surfaces Coatings and Films Electronic Optical and Magnetic Materials purl.org/becyt/ford/1 [https] General Energy Percolation Magnetorheological fluid Soft Condensed Matter (cond-mat.soft) Physical and Theoretical Chemistry Stick Percolation Humanities CIENCIAS NATURALES Y EXACTAS Física de los Materiales Condensados |
Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
Popis: | In this article we explore how structural parameters of composites filled with one-dimensional, electrically conducting elements (such as sticks, needles, chains, or rods) affect the percolation properties of the system. To this end, we perform Monte Carlo simulations of asymmetric two-dimensional stick systems with anisotropic alignments. We compute the percolation probability functions in the direction of preferential orientation of the percolating objects and in the orthogonal direction, as functions of the experimental structural parameters. Among these, we considered the average length of the sticks, the standard deviation of the length distribution, and the standard deviation of the angular distribution. We developed a computer algorithm capable of reproducing and verifying known theoretical results for isotropic networks and which allows us to go beyond and study anisotropic systems of experimental interest. Our research shows that the total electrical anisotropy, considered as a direct consequence of the percolation anisotropy, depends mainly on the standard deviation of the angular distribution and on the average length of the sticks. A conclusion of practical interest is that we find that there is a wide and well-defined range of values for the mentioned parameters for which it is possible to obtain reliable anisotropic percolation under relatively accessible experimental conditions when considering composites formed by dispersions of sticks, oriented in elastomeric matrices. 27 pages, 11 figures |
Databáze: | OpenAIRE |
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