From percolating to dense random stick networks: Conductivity model investigation

Abstract

In a Monte Carlo study the conductivity of two-dimensional random stick systems is investigated from the percolation threshold up to ten times the percolation threshold density. We propose a model explicitly depending on the stick density and junction-to-stick conductance ratio. The model describes the transition from the conductivity determined by the structure of a percolating cluster to the conductivity of the dense random stick networks. The model is motivated by the observed densities of the sticks and contacts involved in the current flow. The finite-size scaling effects are also included in the description. The derived model for conductivity should be broadly applicable to the random networks of the rodlike particles.

6 pages, 6 figures

References in corpus (8)

• Electron-Phonon Scattering in Metallic Single-Walled Carbon Nanotubes
• Temperature dependence of the resistance of metallic nanowires (diameter $\ge$ 15 nm): Applicability of Bloch-Grüneisen theorem
• Contact resistance between carbon nanotubes
• Tunneling and Non-Universality in Continuum Percolation Systems
• Optimizing Transistor Performance of Percolating Carbon Nanotube Networks
• Conductivity of a suspension of nanowires in a weakly conducting medium
• Finite-size scaling in asymmetric systems of percolating sticks
• SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

Cited by in corpus (20)

• Emergence of Winner-takes-all Connectivity Paths in Random Nanowire Networks
• Substrate-Versatile Direct-Write Printing of Carbon Nanotube-Based Flexible Conductors, Circuits, and Sensors
• Unified Modeling and Experimental Realization of Electrical and Thermal Percolation in Polymer Composites
• Effective resistance of random percolating networks of stick nanowires : functional dependence on elementary physical parameters
• Electrical conductance of two-dimensional composites with embedded rodlike fillers: an analytical consideration and comparison of two computational approaches
• Anisotropy in electrical conductivity and transparency of films of aligned conducting rods
• Effect of tunneling on the electrical conductivity of nanowire-based films: computer simulation within a core--shell model
• Connectedness percolation in the random sequential adsorption packings of elongated particles
• Electrical conductivity of nanorod-based transparent electrodes: Comparison of mean-field approaches
• Electrical conductivity of nanoring-based transparent conductive films: A mean-field approach
• Modeling conductive thermal transport in three-dimensional fibrous media with fiber-to-fiber contacts
• Random 2D nanowire networks: Finite-size effect and the effect of busbar/nanowire contact resistance on their electrical conductivity
• Electrical percolation in metal wire network based strain sensors
• Random networks of carbon nanotubes optimized for transistor mass-production: multi-variable problem
• Percolation and electrical conduction in random systems of curved linear objects on a plane: computer simulations along with a mean-field approach
• Transparent electrodes based on mixtures of nanowires and nanorings: A mean-field approach along with computer simulation
• Quantum gas-enabled direct mapping of active current density in percolating networks of nanowires
• Stretch-induced tunability of electrical transport properties of three-dimensional graphene-based foam structures
• Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks
• Electrical conductivity of random metallic nanowire networks: An analytical consideration along with computer simulation