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Fractional kinetics in solids [[electronic resource] ] : anomalous charge transport in semiconductors, dielectrics, and nanosystems / / Vladimir Uchaikin, Ulyanovsk State University, Russia, Renat Sibatov, Ulyanovsk State University, Russia
| Fractional kinetics in solids [[electronic resource] ] : anomalous charge transport in semiconductors, dielectrics, and nanosystems / / Vladimir Uchaikin, Ulyanovsk State University, Russia, Renat Sibatov, Ulyanovsk State University, Russia |
| Autore | Uchaĭkin V. V (Vladimir Vasilʹevich) |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina |
530.4/16
530.416 531.3 |
| Altri autori (Persone) | SibatovRenat |
| Soggetto topico |
Solid state physics - Mathematics
Electric discharges - Mathematical models Fractional calculus Semiconductors - Electric properties Electron transport - Mathematical models Chemical kinetics - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-89998-1
981-4355-43-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Statistical grounds; 1.1 Levy stable statistics; 1.1.1 Generalized limit theorems; 1.1.2 Two subclasses of stable distributions; 1.1.3 Fractional stable distributions; 1.1.4 Self-similar processes: Brownian motion and Levy motion; 1.1.5 Space-fractional equations; 1.2 Random flight models; 1.2.1 Continuous time random flights; 1.2.2 Counting process for number of jumps; 1.2.3 The Poisson process; 1.2.4 The Fractional Poisson process; 1.2.5 Simulation of waiting times; 1.3 Some properties of the fractional Poisson process; 1.3.1 The nth arrival time distribution
1.3.2 The fractional Poisson distribution1.3.3 Limit fractional Poisson distributions; 1.3.4 Fractional Furry process; 1.3.5 Time-fractional equation; 1.4 Random flights on a one-dimensional Levy-Lorentz gas; 1.4.1 One-dimensional Levy-Lorentz gas; 1.4.2 The flight process on the fractal gas; 1.4.3 Propagators; 1.4.4 Fractional equation for flights on fractal; 1.5 Subdiffusion; 1.5.1 Integral equations of diffusion in a medium with traps; Necessary and sufficient condition for subdiffusion; 1.5.2 Differential equations of subdiffusion; 1.5.3 Subdiffusion distribution density 1.5.4 Analysis of subdiffusion distributions1.5.5 Discussion; 2. Fractional kinetics of dispersive transport; 2.1 Macroscopic phenomenology; 2.1.1 A role of phenomenology in studying complex systems; 2.1.2 Universality of transient current curves; 2.1.3 From self-similarity to fractional derivatives; 2.1.4 From transient current to waiting time distribution; 2.2 Microscopic backgrounds of dispersive transport; 2.2.1 From the Scher-Montroll model to fractional derivatives; 2.2.2 Physical basis of the power-law waiting time distribution; 2.2.3 Multiple trapping regime 2.2.4 Hopping conductivity2.2.5 Bassler's model of Gaussian disorder; 2.3 Fractional formalism of multiple trapping; 2.3.1 Prime statements; 2.3.2 Multiple trapping regime and Arkhipov-Rudenko approach; 2.3.3 Fractional equations for delocalized carriers; 2.3.4 Fractional equation for the total concentration; 2.3.5 Two-state dynamics; 2.3.6 Delocalized carrier concentration; 2.3.7 Percolation and fractional kinetics; 2.3.8 The case of Gaussian disorder; 2.4 Some applications; 2.4.1 Dispersive diffusion; 2.4.2 Photoluminescence decay; 2.4.3 Including recombination; 2.4.4 Including generation 2.4.5 Bipolar dispersive transport2.4.6 The family of fractional dispersive transport equations; 3. Transient processes in disordered semiconductor structures; 3.1 Time-of-flight method; 3.1.1 Transient current in disordered semiconductors; 3.1.2 Transient current for truncated waiting time distributions; 3.1.3 Distributed dispersion parameter; 3.1.4 Transient current curves in case of Gaussian disorder; 3.1.5 Percolation in porous semiconductors; 3.1.6 Non-stationary radiation-induced conductivity; 3.2 Non-homogeneous distribution of traps 3.2.1 Non-uniform spatial distribution of localized states |
| Record Nr. | UNINA-9910463661503321 |
Uchaĭkin V. V (Vladimir Vasilʹevich)
|
||
| Singapore, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional kinetics in solids [[electronic resource] ] : anomalous charge transport in semiconductors, dielectrics, and nanosystems / / Vladimir Uchaikin, Ulyanovsk State University, Russia, Renat Sibatov, Ulyanovsk State University, Russia
| Fractional kinetics in solids [[electronic resource] ] : anomalous charge transport in semiconductors, dielectrics, and nanosystems / / Vladimir Uchaikin, Ulyanovsk State University, Russia, Renat Sibatov, Ulyanovsk State University, Russia |
| Autore | Uchaĭkin V. V (Vladimir Vasilʹevich) |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina |
530.4/16
530.416 531.3 |
| Altri autori (Persone) | SibatovRenat |
| Soggetto topico |
Solid state physics - Mathematics
Electric discharges - Mathematical models Fractional calculus Semiconductors - Electric properties Electron transport - Mathematical models Chemical kinetics - Mathematics |
| ISBN |
1-283-89998-1
981-4355-43-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Statistical grounds; 1.1 Levy stable statistics; 1.1.1 Generalized limit theorems; 1.1.2 Two subclasses of stable distributions; 1.1.3 Fractional stable distributions; 1.1.4 Self-similar processes: Brownian motion and Levy motion; 1.1.5 Space-fractional equations; 1.2 Random flight models; 1.2.1 Continuous time random flights; 1.2.2 Counting process for number of jumps; 1.2.3 The Poisson process; 1.2.4 The Fractional Poisson process; 1.2.5 Simulation of waiting times; 1.3 Some properties of the fractional Poisson process; 1.3.1 The nth arrival time distribution
1.3.2 The fractional Poisson distribution1.3.3 Limit fractional Poisson distributions; 1.3.4 Fractional Furry process; 1.3.5 Time-fractional equation; 1.4 Random flights on a one-dimensional Levy-Lorentz gas; 1.4.1 One-dimensional Levy-Lorentz gas; 1.4.2 The flight process on the fractal gas; 1.4.3 Propagators; 1.4.4 Fractional equation for flights on fractal; 1.5 Subdiffusion; 1.5.1 Integral equations of diffusion in a medium with traps; Necessary and sufficient condition for subdiffusion; 1.5.2 Differential equations of subdiffusion; 1.5.3 Subdiffusion distribution density 1.5.4 Analysis of subdiffusion distributions1.5.5 Discussion; 2. Fractional kinetics of dispersive transport; 2.1 Macroscopic phenomenology; 2.1.1 A role of phenomenology in studying complex systems; 2.1.2 Universality of transient current curves; 2.1.3 From self-similarity to fractional derivatives; 2.1.4 From transient current to waiting time distribution; 2.2 Microscopic backgrounds of dispersive transport; 2.2.1 From the Scher-Montroll model to fractional derivatives; 2.2.2 Physical basis of the power-law waiting time distribution; 2.2.3 Multiple trapping regime 2.2.4 Hopping conductivity2.2.5 Bassler's model of Gaussian disorder; 2.3 Fractional formalism of multiple trapping; 2.3.1 Prime statements; 2.3.2 Multiple trapping regime and Arkhipov-Rudenko approach; 2.3.3 Fractional equations for delocalized carriers; 2.3.4 Fractional equation for the total concentration; 2.3.5 Two-state dynamics; 2.3.6 Delocalized carrier concentration; 2.3.7 Percolation and fractional kinetics; 2.3.8 The case of Gaussian disorder; 2.4 Some applications; 2.4.1 Dispersive diffusion; 2.4.2 Photoluminescence decay; 2.4.3 Including recombination; 2.4.4 Including generation 2.4.5 Bipolar dispersive transport2.4.6 The family of fractional dispersive transport equations; 3. Transient processes in disordered semiconductor structures; 3.1 Time-of-flight method; 3.1.1 Transient current in disordered semiconductors; 3.1.2 Transient current for truncated waiting time distributions; 3.1.3 Distributed dispersion parameter; 3.1.4 Transient current curves in case of Gaussian disorder; 3.1.5 Percolation in porous semiconductors; 3.1.6 Non-stationary radiation-induced conductivity; 3.2 Non-homogeneous distribution of traps 3.2.1 Non-uniform spatial distribution of localized states |
| Record Nr. | UNINA-9910788622503321 |
|
Uchaĭkin V. V (Vladimir Vasilʹevich)
|
||
| Singapore, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov
| Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov |
| Autore | Amirov A. Kh |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (209 pages) |
| Disciplina | 516.3/62 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Integral geometry
Inverse problems (Differential equations) Chemical kinetics - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-094094-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Abstract -- Contents -- Introduction -- Chapter 1. Solvability of problems of integral geometry -- Chapter 2. Inverse problems for kinetic equations -- Chapter 3. Evolutionary equations -- Chapter 4. Inverse problems for second order differential equations -- Appendix Α. -- Bibliography |
| Record Nr. | UNINA-9910463726903321 |
|
Amirov A. Kh
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov
| Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov |
| Autore | Amirov A. Kh |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (209 pages) |
| Disciplina | 516.3/62 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Integral geometry
Inverse problems (Differential equations) Chemical kinetics - Mathematics |
| Soggetto non controllato |
Differential Equations
Differential Inequality Dirichlet Goursat Hyperbolic Equations Integral Geometry Problems Inverse Problems Kinetic Equations Multidimensional Paraboloids Quantum Quasilinear |
| ISBN | 3-11-094094-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Abstract -- Contents -- Introduction -- Chapter 1. Solvability of problems of integral geometry -- Chapter 2. Inverse problems for kinetic equations -- Chapter 3. Evolutionary equations -- Chapter 4. Inverse problems for second order differential equations -- Appendix Α. -- Bibliography |
| Record Nr. | UNINA-9910788955703321 |
|
Amirov A. Kh
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov
| Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov |
| Autore | Amirov A. Kh |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (209 pages) |
| Disciplina | 516.3/62 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Integral geometry
Inverse problems (Differential equations) Chemical kinetics - Mathematics |
| Soggetto non controllato |
Differential Equations
Differential Inequality Dirichlet Goursat Hyperbolic Equations Integral Geometry Problems Inverse Problems Kinetic Equations Multidimensional Paraboloids Quantum Quasilinear |
| ISBN | 3-11-094094-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Abstract -- Contents -- Introduction -- Chapter 1. Solvability of problems of integral geometry -- Chapter 2. Inverse problems for kinetic equations -- Chapter 3. Evolutionary equations -- Chapter 4. Inverse problems for second order differential equations -- Appendix Α. -- Bibliography |
| Record Nr. | UNINA-9910822673203321 |
|
Amirov A. Kh
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
