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Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
Autore Porubov Alexey V
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2003
Descrizione fisica 1 online resource (229 p.)
Disciplina 530.4/16
Collana Series on stability, vibration, and control of systems. Series A
Soggetto topico Stress waves
Solids
Differential equations, Nonlinear - Numerical solutions
Nonlinear waves
Soggetto genere / forma Electronic books.
ISBN 1-281-93443-7
9786611934439
981-279-429-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution
3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches
5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index
Record Nr. UNINA-9910454280903321
Porubov Alexey V  
Singapore ; ; River Edge, NJ, : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
Autore Porubov Alexey V
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2003
Descrizione fisica 1 online resource (229 p.)
Disciplina 530.4/16
Collana Series on stability, vibration, and control of systems. Series A
Soggetto topico Stress waves
Solids
Differential equations, Nonlinear - Numerical solutions
Nonlinear waves
ISBN 1-281-93443-7
9786611934439
981-279-429-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution
3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches
5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index
Record Nr. UNINA-9910782116603321
Porubov Alexey V  
Singapore ; ; River Edge, NJ, : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Electronic transport theories : from weakly to strongly correlated materials / / Navinder Singh, Physical Research Laboratory, Ahmedabad, Gujarat, India
Electronic transport theories : from weakly to strongly correlated materials / / Navinder Singh, Physical Research Laboratory, Ahmedabad, Gujarat, India
Autore Singh Navinder <1977, >
Edizione [1st ed.]
Pubbl/distr/stampa Boca Raton, Fla. : , : CRC Press, Taylor & Francis Group, , [2017]
Descrizione fisica 1 online resource (240 pages) : illustrations
Disciplina 530.4/16
Soggetto topico Electron transport
Transport theory
Nonequilibrium statistical mechanics
ISBN 1-315-35196-X
1-315-36896-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction and objective of the study -- The traditional Boltzmann equation based approaches -- Some techniques from nonequilibrium statistical mechanics -- The Zwanzig-Mori-Gotze-Wole memory function formalism -- The Kohn-Luttinger theory: quantum mechanical basis of the Bloch-Boltzmann equation -- Strange metals: a survey.
Record Nr. UNINA-9910151563703321
Singh Navinder <1977, >  
Boca Raton, Fla. : , : CRC Press, Taylor & Francis Group, , [2017]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Exciton quasiparticles [[electronic resource] ] : theory, dynamics, and applications / / Randy M. Bergin, editor
Exciton quasiparticles [[electronic resource] ] : theory, dynamics, and applications / / Randy M. Bergin, editor
Pubbl/distr/stampa New York, : Nova Science Publishers, c2011
Descrizione fisica 1 online resource (425 p.)
Disciplina 530.4/16
Altri autori (Persone) BerginRandy M
Collana Physics research and technology
Soggetto topico Exciton theory
Quasiparticles (Physics)
Soggetto genere / forma Electronic books.
ISBN 1-61209-040-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910461609903321
New York, : Nova Science Publishers, c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Exciton quasiparticles [[electronic resource] ] : theory, dynamics, and applications / / Randy M. Bergin, editor
Exciton quasiparticles [[electronic resource] ] : theory, dynamics, and applications / / Randy M. Bergin, editor
Pubbl/distr/stampa New York, : Nova Science Publishers, c2011
Descrizione fisica 1 online resource (425 p.)
Disciplina 530.4/16
Altri autori (Persone) BerginRandy M
Collana Physics research and technology
Soggetto topico Exciton theory
Quasiparticles (Physics)
ISBN 1-61209-040-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910790434203321
New York, : Nova Science Publishers, c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Exciton quasiparticles : theory, dynamics, and applications / / Randy M. Bergin, editor
Exciton quasiparticles : theory, dynamics, and applications / / Randy M. Bergin, editor
Edizione [1st ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, c2011
Descrizione fisica 1 online resource (425 p.)
Disciplina 530.4/16
Altri autori (Persone) BerginRandy M
Collana Physics research and technology
Soggetto topico Exciton theory
Quasiparticles (Physics)
ISBN 1-61209-040-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- EXCITON QUASIPARTICLES: THEORY, DYNAMICS AND APPLICATIONS -- EXCITON QUASIPARTICLES: THEORY, DYNAMICS AND APPLICATIONS -- CONTENTS -- PREFACE -- Chapter 1 EXCITON POLARITON DISPERSION IN MULTINARY COMPOUNDS -- ABSTRACT -- 1. STRONG AND WEAK POLARITON EFFECTS IN THE REGION OF EXCITON RESONANCES IN MULTINARY COMPOUNDS -- 2. EXCITON SPECTRA IN CRYSTALS WITH STRONG POLARITON EFFECT (ωLT > -- > -- Γ) -- 2.1. Intraband and Interband Relaxation of Exciton Polaritons. Determination of Parameters of Polariton Disperssion -- 2.2. Spectral-Spatial Diffusion of Polaritons -- 2.3. Relative Contribution to the Emission of Upper and Lower Polariton Branches -- 3. BREWSTER EFFECTS IN EXCITON REFLECTIVITY SPECTRA -- 3.1. Brewster Effect in the Model of the "Dead" Layer -- 3.2. Approximation of Normal Incidence at the Layer-Crystal Interface -- 3.3. Brewster Effect in the Amplitude and Phase Spectra of Exciton Reflectivity in ZnP2 Crystals -- 4. EXCITON SPECTRA IN CRYSTALS WITH WEAK POLARITON EFFECT (ωLT ≤ Γ) -- 4.1. Free Exciton Spectra in CuGaS2 Crystals -- 4.2. Free Exciton Spectra in CuAlS2 Crystals -- 4.3. Free Exciton Spectra in CuGaSe2 Crystals -- 4.4. Free Exciton Spectra in CuAlSe2 Crystals -- 5. POLARITON MODES AT OBLIQUE INCIDENCE OF THE LIGHT ON THE CRYSTAL SURFACE -- 5.1. The Effective Index of Refraction -- 5.2. Calculated Reflectivity Spectra of CdS -- 5.3. Spectra of Oblique Reflectance in Crystals with Weak Polariton Effect ( ωLT < -- ) -- 5.4. Interference of Additional Waves in the Case of Weak Exciton Polaritons -- 5.5. Interference in Luminescence Spectra of Exciton Polaritons -- 6. EXCITON-PHONON LUMINESCENCE SPECTRA WITH EXCITON-POLARITON ANNIHILATION -- 6.1. Energy Exchange between the Upper and Lower Modes of Polariton Branches -- 7. BOUND EXCITONS IN MULTINARY COMPOUNDS.
7.1. Resonance Impurity Emission in CuGaS2 Crystals -- 8. WAVELENGTH MODULATED EXCITON REFLECTIVITY SPECTRA IN CUALSE2 CRYSTALS -- 8.1. Calculation of the Contour of Wavelength Modulated Reflectivity Spectra in the Case of Weak Polariton Effect -- 9. RESONANCE RAMAN SCATTERING AND OPTICAL ORIENTATION OF EXCITONS IN СUGAXAL1-XS2 CRYSTALS -- 10. RESONANCE RAMAN SCATTERING IN CUGAXIN1-XS2 SOLID SOLUTIONS -- CONCLUDING REMARKS -- REFERENCES -- Chapter 2 EXCITON RELAXATION DYNAMICS IN COLLOIDAL CORE AND CORE/SHELL CDSE NANORODS -- ABSTRACT -- 1. INTRODUCTION -- 1.a. Colloidal Nanocrystals -- 1.b. Core/Shell Nanostructures -- 1.c. Exciton Relaxation Processes -- 2. EXPERIMENTAL -- 2.a. Samples: Core and Core/Shell Nanorods -- 2.b. Theoretical Model -- 2.c. Spectroscopic Methods -- 3. EXCITON RELAXATION PROCESSES: ROLE OF SURFACE AND INTERFACE DEFECT STATES -- 3.a. Differential Transmission Spectra -- 3.b. Bleaching Dynamics -- 3.b.1. Intraband relaxation -- 3.b.2. Trapping mechanism -- 3.b.3. Auger processes -- 3.c. Stimulated Emission and Photo-Absorption Processes -- 3.c.1. Core sample -- 3.c.2. Core/shell sample -- 4. SHELL THICKNESS EFFECTS ON DEFECT STATES DISTRIBUTION -- 4.a. Differential Transmission Spectra -- 4.b. Bleaching Dynamics -- 4.c. Stimulated Emission and Photo-Absorption Processes -- 5. ROLE OF THE SHELL THICKNESS ON EXCITON EMISSION PROCESS -- 5.a. Experimental Results -- 5.b. Discussion -- 6. EXCITON RELAXATION PROCESSES AT RESONANT PUMP ENERGY -- 6.a Differential Transmission Spectra -- 6.b. Bleaching Dynamics -- 6.b.1. Role of defect states on Auger processes and competition with SE -- 6.b.2. Confined acoustic phonons -- 7. CONCLUSION -- ACKNOWLEDGMENTS -- REFERENCES -- Chapter 3 RADIATION-ASSISTED PREPARATION OF POWDER MATERIALS AND THEIR EXCITON LUMINESCENCE -- ABSTRACT.
1. INTRODUCTION - EXCITON LUMINESCENCE IN NANOPOWDERS -- 2. PREPARATION OF NANOPOWDER MATERIALS USING IONIZING AND UV RADIATION -- 3. PREPARATION OF ZNO BASED MATERIALS USING RADIATION METHODS -- 3.1. Preparation Methods Using Visible Light, Ultraviolet and Ionizing Radiation -- 3.2. Preparation and Excitonic Luminescence of Powder ZnO Prepared under UV-VIS and Ionizing Radiation -- Irradiation of solutions and characterization of solid phase -- Luminescence properties -- 4. PREPARATION OF YAG BASED MATERIALS WITH EXCITON LUMINESCENCE -- 4.1. Preparation and Excitonic Luminescence of Powder YAG Prepared under UV-VIS and Ionizing Radiation -- 5. CONCLUSION -- ACKNOWLEDGMENT -- 6. REFERENCES -- Chapter 4 THE SEMICLASSICAL MOLECULAR EXCITON: PATH/TIME ORDERED PROPAGATORS VS. STOCHASTIC DYNAMICS -- INTRODUCTION - THE TRANSITION DENSITY AND SECOND QUANTIZATION -- THEORY -- A. The Exciton Propagator -- B. The Gauge-Theoretic Picture -- DISCUSSION -- A. Loop Theory vs. Platt's Ring Theory, M.O. Theory -- B. The Keldysh Contour and the Argument Principle -- CONCLUSION -- APPENDIX -- ACKNOWLEDGMENTS -- REFERENCES -- Chapter 5 SOLITONS AND EXITONS IN SEISMOTECTONIC PROBLEMS -- ABSTRACT -- INTRODUCTION -- PROBLEM FORMULATION -- PROBLEM SOLUTION -- ACTION-AT-A-DISTANCE OF THE ROTATION ELASTIC FIELD -- EARTHQUAKE MIGRATION -- CONCLUSIONS -- ACNOWLEDGMENTS -- REFERENCES -- Chapter 6 EXCITON DYNAMICS STUDY OF InAs/GaAs QUANTUM DOT HETEROSTRUCTURES -- ABSTRACT -- INTRODUCTION -- EXPERIMENTS -- RESULTS AND DISCUSSION -- CONCLUSION -- ACKNOWLEDGMENT -- REFERENCES -- Chapter 7 EXCITON DIFFUSION LENGTH IN TITANYL PHTHALOCYANINE THIN FILMS AS DETERMINED BY THE SURFACE PHOTOVOLTAGE METHOD -- ABSTRACT -- INTRODUCTION -- PRINCIPLES OF THE SURFACE PHOTOVOLTAGE METHOD -- EXPERIMENT -- Preparation of the Layers.
The Transmittance and Reflectance Spectra Measurements Optimized for Thin Films -- Surface Photovoltage Spectra -- RESULTS -- DISCUSSION -- CONCLUSION -- APPENDIX -- ACKNOWLEDGMENT -- REFERENCES -- Chapter 8 ACCURACY OF THE COHERENT POTENTIAL APPROXIMATION FOR FRENKEL EXCITONS IN ONE-DIMENSIONAL ARRAYS WITH GAUSSIAN DIAGONAL DISORDER AND NEAREST-NEIGHBOR TRANSFER -- ABSTRACT -- INTRODUCTION -- MACROSCOPIC DISORDER AND THE COHERENT POTENTIAL APPROXIMATION -- CONCLUSION -- REFERENCES -- Chapter9EXCITONFANORESONANCEINSEMICONDUCTORHETEROSTRUCTURESANDITSRELATEDPHENOMENA -- Abstract -- 1.Introduction -- 2.TheoreticalFramework -- 2.1.AdiabaticExpansion -- 2.2.R-MatrixPropagation -- 2.3.TimeDelay -- 3.ExcitonicFRinSemiconductorHeterostructures -- 3.1.LinearExcitonicFR -- 3.1.1.QWs -- 3.1.2.WSLs -- 3.2.Non-LinearExcitonicFR -- 3.2.1.Introduction -- 3.2.2.Theory -- 3.2.3.AnalyticModelwithoutCoulombExchange -- 3.2.4.SBEResultswithCoulombExchange -- 3.3.DynamicExcitonicFR -- 3.3.1.Introduction -- 3.3.2.Formulation -- 3.3.3.DynamicEX-FRSpectra -- 4.RelatedPhenomenaofDynamicFR -- 4.1.DynamicFRinDynamicWannier-StarkLadder -- 4.1.1.Introduction -- 4.1.2.R-MatrixFloquetTheory -- 4.1.3.PonderomotiveInteractions -- 4.1.4.ExcessDOS -- 4.2.DynamicFRinCoherentPhononGeneration -- 5.Conclusion -- Acknowledgments -- References -- Chapter10MAGNETOEXCITONBINDINGENERGYINPOLARCRYSTALS,QUANTUMWELLSANDGRAPHENEBILAYERS -- Abstract -- 1.Introduction -- 2.MagnetoexcitonsinPolarSemiconductors -- 2.1.BulkMagnetoexcitons -- 2.2.Quantum-wellMagnetoexcitons -- 3.MagnetoexcitonDispersioninGrapheneBilayersEmbeddedinaDielectric -- 3.1.RelativisticBethe-SalpeterEquation -- 4.Conclusion -- References -- Chapter11WANNIER-MOTT-FRENKELHYBRIDEXCITONINSEMICONDUCTOR-ORGANICSYSTEMSCONTAININGQUANTUMDOTS -- Abstract -- 1.Introduction -- 2.SemiconductorQuantumDotArrayinanOrganicMedium.
2.1.TotalHamiltonianoftheSystem -- 2.2.TheHybridExcitonState -- 2.3.NonlinearOpticalResponse -- 3.HybridExcitonStateinaQuantumDot-DendriteSystem -- 3.1.AQuantumDot-DendriteModel -- 3.2.EffectiveInteractionCoefficientsBetweenDendrimerGenerations -- 3.3.DiagramTechniquesforGreenFunctioninOrbitalRepresentation -- 3.4.TheQuantumDot-DendronLigand -- 4.HybridExcitonunderElectricandMagneticFields -- 5.Conclusion -- References -- Short Communication EXCITONS IN CDO PARABOLIC QUANTUM DOTS -- ABSTRACT -- 1. INTRODUCTION -- 2. THEORY -- 3. CONCLUSION -- REFERENCES -- INDEX.
Record Nr. UNINA-9910973021103321
New York, : Nova Science Publishers, c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Geometric optics for surface waves in nonlinear elasticity / / Jean-François Coulombel, Mark Williams
Geometric optics for surface waves in nonlinear elasticity / / Jean-François Coulombel, Mark Williams
Autore Coulombel Jean-François
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica 1 online resource (164 pages)
Disciplina 530.4/16
Collana Memoirs of the American Mathematical Society
Soggetto topico Partial differential equations -- Hyperbolic equations and systems [See also 58J45] -- Nonlinear second-order hyperbolic equations
Optics, electromagnetic theory {For quantum optics, see 81V80} -- General -- Geometric optics
Mechanics of deformable solids -- Elastic materials -- Nonlinear elasticity
Geometrical optics - Mathematics
Nonlinear difference equations
Elasticity
Soggetto genere / forma Electronic books.
ISBN 1-4704-5650-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Derivation of the weakly nonlinear amplitude equation -- Existence of exact solutions -- Approximate solutions -- Error analysis and proof of Theorem 3.8 -- Some extensions.
Record Nr. UNINA-9910480835003321
Coulombel Jean-François  
Providence, Rhode Island : , : American Mathematical Society, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Geometric optics for surface waves in nonlinear elasticity / / Jean-François Coulombel, Mark Williams
Geometric optics for surface waves in nonlinear elasticity / / Jean-François Coulombel, Mark Williams
Autore Coulombel Jean-François
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica 1 online resource (164 pages)
Disciplina 530.4/16
Collana Memoirs of the American Mathematical Society
Soggetto topico Partial differential equations -- Hyperbolic equations and systems [See also 58J45] -- Nonlinear second-order hyperbolic equations
Optics, electromagnetic theory {For quantum optics, see 81V80} -- General -- Geometric optics
Mechanics of deformable solids -- Elastic materials -- Nonlinear elasticity
Geometrical optics - Mathematics
Nonlinear difference equations
Elasticity
ISBN 1-4704-5650-8
Classificazione 35L7074B2078A05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Derivation of the weakly nonlinear amplitude equation -- Existence of exact solutions -- Approximate solutions -- Error analysis and proof of Theorem 3.8 -- Some extensions.
Record Nr. UNINA-9910794067803321
Coulombel Jean-François  
Providence, Rhode Island : , : American Mathematical Society, , [2020]
Materiale a stampa
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