Publication

Tunneling and nonuniversality in continuum percolation systems

Claudio Grimaldi
2006
Journal Articles

Résumé

The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunneling, were found to be in the range of t0 and about t0 +

Source officielle

https://infoscience.epfl.ch/entities/publication/cf55e4d7-b51f-4ff2-8fd3-c8164f88373a

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Claudio Grimaldi
2006
Journal Articles

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/cf55e4d7-b51f-4ff2-8fd3-c8164f88373a

À propos de ce résultat

Concepts associés (4)

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.

Percolation

vignette|Schéma de l'hydrosystème karstique : infiltrations dans le sol et la roche. La percolation (du latin percolare, « filtrer », « passer au travers ») désigne communément le passage d'un fluide à travers un milieu poreux ou fissuré plus ou moins perméable. Un exemple de la vie courante est celui de l'écoulement de l'eau au travers de la poudre de café moulu contenu dans le filtre d'une machine à café (d'où le nom de percolateur).

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Publications associées (14)

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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 ...

Society of Photo-Optical Instrumentation Engineers (SPIE)2024

Tunneling conductivity in anisotropic nanofiber composites: a percolation-based model

Claudio Grimaldi

The critical path approximation ('CPA') is integrated with a lattice-based approach to percolation to provide a model for conductivity in nanofiber-based composites. Our treatment incorporates a recent estimate for the anisotropy in tunneling-based conduct ...

Institute of Physics2015

Sc2Ga2CuO7: A possible quantum spin liquid near the percolation threshold

Henrik Moodysson Rønnow, Paul Gregory Freeman

Sc2Ga2CuO7 (SGCO) crystallizes in a hexagonal structure (space group: P63/mmc), which can be seen as an alternating stacking of single and double triangular layers. Combining neutron, x-ray, and resonant x-ray diffraction, we establish that the single tria ...

2015

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