9789814355421 - Fractional Kinetics in Solids: Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems by Uchaykin Vladimir Et Al (15 results)

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Language: English
Published by World Scientific Publishing Company, Incorporated, 2012
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Language: English
Published by World Scientific Publishing Company, Incorporated, 2012
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Language: English
Published by World Scientific Publishing Company, Incorporated, 2012
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Gebunden. Condition: New. The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. This book applies a novel approach using equations with derivatives of fracti.

Language: English
Published by World Scientific Publishing Company Jan 2013, 2013
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Buch. Condition: Neu. Neuware - The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take… cluster form. Furthermore, particles can be located in some domains of small sizes (traps) for a long time. Estimations show that path length and waiting time distributions are often characterized by heavy tails of the power law type. This behavior allows the introduction of time and space derivatives of fractional orders. Distinction of path length distribution from exponential is interpreted as a consequence of media fractality, and analogous property of waiting time distribution as a presence of memory.