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Thin metal films and percolation theory

Pavel Šmilauer

Open publisher page 34 citations

Abstract

Percolation theory aims at the study of very simple models of disordered systems. I try to demonstrate how mechanical, electrical, superconducting, optical, etc. properties of thin semicontinuous metal films on dielectric substrates can be explained by percolation models and how various concepts and results of percolation theory ranging from the existence of a sharply defined percolation threshold to the most sophisticated issues such as that of the detailed structure of large percolation clusters can help in understanding the experimental observations.

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What this paper is about

Percolation theory aims at the study of very simple models of disordered systems. I try to demonstrate how mechanical, electrical, superconducting, optical, etc. properties of thin semicontinuous metal films on dielectric substrates can be explained by percolation models and how various concepts and results of percolation theory ranging from the existence of a sharply defined percolation threshold to the most sophisticated issues such as that of the detailed structure of large percolation clusters can help in understanding the experimental observations.

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Available abstract

Percolation theory aims at the study of very simple models of disordered systems. I try to demonstrate how mechanical, electrical, superconducting, optical, etc. properties of thin semicontinuous metal films on dielectric substrates can be explained by percolation models and how various concepts and results of percolation theory ranging from the existence of a sharply defined percolation threshold to the most sophisticated issues such as that of the detailed structure of large percolation clusters can help in understanding the experimental observations.

Key concepts: Percolation theory, Percolation (cognitive psychology), Percolation threshold, Percolation critical exponents, Materials science, Statistical physics, Condensed matter physics, Electrical resistivity and conductivity

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