Monte Carlo simulations of electrical percolation in multicomponent thin films with nanofillers

Xiaojuan Ni, Chao Hui, Ninghai Su, Wei Jiang, Feng Liu

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


We developed a 2D disk-stick percolation model to investigate the electrical percolation behavior of an insulating thin film reinforced with 1D and 2D conductive nanofillers via Monte Carlo simulation. Numerical predictions of the percolation threshold in single component thin films showed good agreement with the previous published work, validating our model for investigating the characteristics of the percolation phenomena. Parametric studies of size effect, i.e., length of 1D nanofiller and diameter of 2D nanofiller, were carried out to predict the electrical percolation threshold for hybrid systems. The relationships between the nanofillers in two hybrid systems was established, which showed differences from previous linear assumption. The effective electrical conductance was evaluated through Kirchhoff's current law by transforming it into a resistor network. The equivalent resistance was obtained from the distribution of nodal voltages by solving a system of linear equations with a Gaussian elimination method. We examined the effects of stick length, relative concentration, and contact patterns of 1D/2D inclusions on electrical performance. One novel aspect of our study is its ability to investigate the effective conductance of nanocomposites as a function of relative concentrations, which shows there is a synergistic effect when nanofillers with different dimensionalities combine properly. Our work provides an important theoretical basis for designing the conductive networks and predicting the percolation properties of multicomponent nanocomposites.

Original languageEnglish (US)
Article number075401
Issue number7
StatePublished - Jan 11 2018

Bibliographical note

Funding Information:
This work is supported by U.S. DOE-BES (Grant No DE-FG02–04ER46148) and the Life-E company in Salt Lake City, UT. We also acknowledge the support from DOE-NERSC and CHPC at the University of Utah for providing the computing resources.


  • carbon nanotubes
  • electrical percolation
  • graphene nanoplatelets
  • multicomponent nanocomposites


Dive into the research topics of 'Monte Carlo simulations of electrical percolation in multicomponent thin films with nanofillers'. Together they form a unique fingerprint.

Cite this