Publication

A model of transport nonuniversality in thick-film resistors

Thomas Maeder, Peter Ryser, Claudio Grimaldi
2003
Journal Articles

Abstract

We propose a model of transport in thick-film resistors which naturally explains the observed nonuniversal values of the conductance exponent t extracted in the vicinity of the percolation transition. Essential ingredients of the model are the segregated microstructure typical of thick-film resistors and tunneling between the conducting grains. Nonuniversality sets in as a consequence of wide distribution of interparticle tunneling distances. © 2003 American Institute of Physics.

Official source

https://infoscience.epfl.ch/entities/publication/40359ee0-fa62-4187-935f-ddbdc338143a

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Thomas Maeder, Peter Ryser, Claudio Grimaldi
2003
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/40359ee0-fa62-4187-935f-ddbdc338143a

About this result

Related concepts (31)

Percolation theory

In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected clusters merge into significantly larger connected, so-called spanning clusters. The applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles Network theory and Percolation (cognitive psychology).

Percolation

In physics, chemistry, and materials science, percolation () refers to the movement and filtering of fluids through porous materials. It is described by Darcy's law. Broader applications have since been developed that cover connectivity of many systems modeled as lattices or graphs, analogous to connectivity of lattice components in the filtration problem that modulates capacity for percolation.

Percolation critical exponents

In the context of the physical and mathematical theory of percolation, a percolation transition is characterized by a set of universal critical exponents, which describe the fractal properties of the percolating medium at large scales and sufficiently close to the transition. The exponents are universal in the sense that they only depend on the type of percolation model and on the space dimension. They are expected to not depend on microscopic details such as the lattice structure, or whether site or bond percolation is considered.