Fractional Kinetics in Solids : Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems.

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 c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Uchaikin, Vladimir
Otros Autores: Sibatov, Renat
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2012.
Temas:
Chemical kinetics > Mathematics.
Electric discharges > Mathematical models.
Electron transport > Mathematical models.
Fractional calculus.
Semiconductors > Electric properties.
Solid state physics > Mathematics.
Cinétique chimique > Mathématiques.
Décharges électriques > Modèles mathématiques.
Électrons > Transport > Modèles mathématiques.
Dérivées fractionnaires.
Physique de l'état solide > Mathématiques.
Electric discharges > Mathematical models
Electron transport > Mathematical models
Fractional calculus
Semiconductors > Electric properties
Solid state physics > Mathematics
Acceso en línea:Texto completo
Descripción
Sumario: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 derivative.
Descripción Física:1 online resource (274 pages)
ISBN:9789814355438
9814355437

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