Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers
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 s...
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2014
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paper:paper_19327447_v118_n35_p20594_Mietta2023-06-08T16:31:36Z Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers Negri, Ricardo Martin Tamborenea, Pablo Ignacio Algorithms Anisotropy Intelligent systems Monte Carlo methods One dimensional Orthogonal functions Solvents Statistics Anisotropic alignment Electrical anisotropy Experimental conditions Magneto-rheological elastomers Orthogonal directions Percolation probability Preferential orientation Structural parameter Angular distribution 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. © 2014 American Chemical Society. Fil:Negri, R.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Tamborenea, P.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19327447_v118_n35_p20594_Mietta http://hdl.handle.net/20.500.12110/paper_19327447_v118_n35_p20594_Mietta |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Algorithms Anisotropy Intelligent systems Monte Carlo methods One dimensional Orthogonal functions Solvents Statistics Anisotropic alignment Electrical anisotropy Experimental conditions Magneto-rheological elastomers Orthogonal directions Percolation probability Preferential orientation Structural parameter Angular distribution |
| spellingShingle |
Algorithms Anisotropy Intelligent systems Monte Carlo methods One dimensional Orthogonal functions Solvents Statistics Anisotropic alignment Electrical anisotropy Experimental conditions Magneto-rheological elastomers Orthogonal directions Percolation probability Preferential orientation Structural parameter Angular distribution Negri, Ricardo Martin Tamborenea, Pablo Ignacio Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| topic_facet |
Algorithms Anisotropy Intelligent systems Monte Carlo methods One dimensional Orthogonal functions Solvents Statistics Anisotropic alignment Electrical anisotropy Experimental conditions Magneto-rheological elastomers Orthogonal directions Percolation probability Preferential orientation Structural parameter Angular distribution |
| description |
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. © 2014 American Chemical Society. |
| author |
Negri, Ricardo Martin Tamborenea, Pablo Ignacio |
| author_facet |
Negri, Ricardo Martin Tamborenea, Pablo Ignacio |
| author_sort |
Negri, Ricardo Martin |
| title |
Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| title_short |
Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| title_full |
Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| title_fullStr |
Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| title_full_unstemmed |
Numerical simulations of stick percolation: Application to the study of structured magnetorheological elastomers |
| title_sort |
numerical simulations of stick percolation: application to the study of structured magnetorheological elastomers |
| publishDate |
2014 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19327447_v118_n35_p20594_Mietta http://hdl.handle.net/20.500.12110/paper_19327447_v118_n35_p20594_Mietta |
| work_keys_str_mv |
AT negriricardomartin numericalsimulationsofstickpercolationapplicationtothestudyofstructuredmagnetorheologicalelastomers AT tamboreneapabloignacio numericalsimulationsofstickpercolationapplicationtothestudyofstructuredmagnetorheologicalelastomers |
| _version_ |
1768541677760282624 |