[Audio] Percolation Theory
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Fri, 24 Jun 2016 22:52:25 +0000HUBzero - The open source platform for scientific and educational collaborationThe electronic devices these days have become so small that the number of dopant atoms in the channel of a MOFET transistor, the number of oxide atoms in its gate dielectric, the number silicon- or metal crystals in nanocrystal Flash memory, the number of Nanowires in a flexible nanoNET transistor, the number of crystals in an poly-crystalline transistors, etc. are all finite, and countable. Moreover many devices like super-capacitors and organic solar cells depend on the randomness their morphology to enhance their performance. How should we think about electron transport through such random systems? The traditional approaches based on effective media theory, virtual crystal approximation, or Monte Carlo simulation are generally not very effective in describing such transport well. This short course introduces percolation theory to electrical engineers and device physicists as a powerful technique to handle such stochastically random transport problems of electronic devices. nanoHUB.orgsupport@nanohub.orgnobottom up approach, nanoelectronics, nanotransistors, nanowires, percolation, transistorsMuhammad A. Alamen-gbCopyright 2016 nanoHUB.orgResourcesLecture 1: Percolation in Electronic Devices
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Even a casual review of modern electronics quickly convinces everyone that randomness of geometrical parameters must play a key role in understanding the transport properties. Despite the diversity of these phenomena however, the concepts percolation theory provides a broad theoretical framework to understand them in an unified manner.http://nanohub.org/site/resources/2008/11/05716/2008.07.25-alam-l1.mp3Even a casual review of modern electronics quickly convinces everyone that randomness of geometrical parameters must play a key role in understanding the transport properties. Despite the diversity of these phenomena however, the concepts percolation theory provides a broad theoretical framework to understand them in an unified manner.nobottom up approach, dev/funded by NCN@Purdue, devices, from Purdue, hosted/taped by NCN@Purdue, nanoelectronics, nanotransistors, nanowires, percolation, transistorsMuhammad A. AlamMuhammad A. AlamOnline PresentationsTue, 04 Nov 2008 20:57:39 +0000http://nanohub.org/site/resources/2008/11/05716/2008.07.25-alam-l1.mp3Lecture 2: Thresholds, Islands, and Fractals
http://nanohub.org/resources/5698
Three basic concepts of the percolation theory – namely, percolation threshold, cluster size distribution, and fractal dimension – are defined and methods to calculate them are illustrated via elementary examples. These three concepts will form the theoretical foundation for discussion in Lecture 3, 4, and 5, respectively.http://nanohub.org/site/resources/2008/11/05720/2008.07.25-alam-l2.mp3Three basic concepts of the percolation theory – namely, percolation threshold, cluster size distribution, and fractal dimension – are defined and methods to calculate them are illustrated via elementary examples. These three concepts will form the theoretical foundation for discussion in Lecture 3, 4, and 5, respectively.nobottom up approach, dev/funded by NCN@Purdue, from Purdue, hosted/taped by NCN@Purdue, nanoelectronics, nanotransistors, nanowires, percolation, transistorsMuhammad A. AlamMuhammad A. AlamOnline PresentationsWed, 05 Nov 2008 00:41:34 +0000http://nanohub.org/site/resources/2008/11/05720/2008.07.25-alam-l2.mp3