Publication

Tunneling-percolation origin of nonuniversality: Theory and experiments

Peter Ryser, Claudio Grimaldi, Thomas Maeder, Sonia Vionnet Menot
2005
Journal Articles

Résumé

A vast class of disordered conducting-insulating compounds close to the percolation threshold is characterized by nonuniversal values of transport critical exponent t, in disagreement with the standard theory of percolation which predicts t

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https://infoscience.epfl.ch/entities/publication/b9732618-99c5-49ab-9d04-c519b6aa5770

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Peter Ryser, Claudio Grimaldi, Thomas Maeder, Sonia Vionnet Menot
2005
Journal Articles

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/b9732618-99c5-49ab-9d04-c519b6aa5770

À propos de ce résultat

Concepts associés (8)

Théorie de la percolation

La théorie de la percolation est une branche de la physique statistique et mathématique qui s'intéresse aux caractéristiques des milieux aléatoires, plus précisément aux ensembles de sommets connectés dans un graphe aléatoire. Cette théorie s'applique notamment en science des matériaux pour formaliser les propriétés d'écoulement dans les milieux poreux et pour la modélisation de phénomènes naturels, comme les incendies. L’histoire de la percolation prend ses racines dans l’industrie du charbon.

Percolation threshold

The percolation threshold is a mathematical concept in percolation theory that describes the formation of long-range connectivity in random systems. Below the threshold a giant connected component does not exist; while above it, there exists a giant component of the order of system size. In engineering and coffee making, percolation represents the flow of fluids through porous media, but in the mathematics and physics worlds it generally refers to simplified lattice models of random systems or networks (graphs), and the nature of the connectivity in them.

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.

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Highly anisotropic carbon fiber electrodes for DEAs and their dynamic non-monotonic conductive properties

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A common method for creating compliant electrodes for dielectric elastomer actuators (DEAs) and soft sensors is to incorporate electrically conductive carbon particles into a polymer matrix. However, using unidirectional aligned carbon fibers instead not o ...

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THE PHASE TRANSITION FOR PLANAR GAUSSIAN PERCOLATION MODELS WITHOUT FKG

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We develop techniques to study the phase transition for planar Gaussian percolation models that are not (necessarily) positively correlated. These models lack the property of positive associations (also known as the 'FKG inequality'), and hence many classi ...

Inst Mathematical Statistics-Ims2023

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