Lecture notes on the discretization of the Boltzmann equation [[electronic resource] /] / editors Nicola Bellomo, Renée Gatignol |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (317 p.) |
Disciplina | 530.13/8 |
Altri autori (Persone) |
BellomoN
GatignolRenée |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory
Finite element method Differential equations - Asymptotic theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-94792-X
9786611947927 981-279-690-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Preface ; Chapter 1. From the Boltzmann Equation to Discretized Kinetic Models ; 1.1 Introduction ; 1.2 The Nonlinear Boltzmann Equation ; 1.3 The Discrete and Semicontinuous Boltzmann Equation ; 1.4 Plan of the Lecture Notes ; 1.5 References
Chapter 2. Discrete Velocity Models for Gas Mixtures 2.1 Introduction ; 2.2 DVM for mixtures ; 2.3 Models with a finite number of velocities and the problem of spurious invariants ; 2.4 Constructing DVM with arbitrarily many velocities ; 2.5 Concluding remarks ; 2.6 References Chapter 3. Discrete Velocity Models with Multiple Collisions 3.1 Introduction ; 3.2 Discrete Models with Multiple Collisions ; 3.3 Macroscopic Description ; 3.4 Boundary Conditions for Discrete Models ; 3.5 Conclusion ; 3.6 References Chapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model 4.1 Introduction ; 4.2 Splitting and Energy Formulation ; 4.3 Working in a Finite Energy Interval ; 4.4 Energy Discretization and Kinetic Model 4.5 Conservation and Euler Equations for the Discretized Model 4.6 Energy Formulation of the Collision Dynamics ; 4.7 Concluding Remarks ; 4.8 References ; Chapter 5. Semi-continuous Extended Kinetic Theory ; 5.1 Introduction ; 5.2 Continuous Kinetic Equations 5.3 Semi-continuous Kinetic Equations |
Record Nr. | UNINA-9910454085103321 |
River Edge, NJ, : World Scientific, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Lecture notes on the discretization of the Boltzmann equation [[electronic resource] /] / editors Nicola Bellomo, Renée Gatignol |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (317 p.) |
Disciplina | 530.13/8 |
Altri autori (Persone) |
BellomoN
GatignolRenée |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory
Finite element method Differential equations - Asymptotic theory |
ISBN |
1-281-94792-X
9786611947927 981-279-690-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Preface ; Chapter 1. From the Boltzmann Equation to Discretized Kinetic Models ; 1.1 Introduction ; 1.2 The Nonlinear Boltzmann Equation ; 1.3 The Discrete and Semicontinuous Boltzmann Equation ; 1.4 Plan of the Lecture Notes ; 1.5 References
Chapter 2. Discrete Velocity Models for Gas Mixtures 2.1 Introduction ; 2.2 DVM for mixtures ; 2.3 Models with a finite number of velocities and the problem of spurious invariants ; 2.4 Constructing DVM with arbitrarily many velocities ; 2.5 Concluding remarks ; 2.6 References Chapter 3. Discrete Velocity Models with Multiple Collisions 3.1 Introduction ; 3.2 Discrete Models with Multiple Collisions ; 3.3 Macroscopic Description ; 3.4 Boundary Conditions for Discrete Models ; 3.5 Conclusion ; 3.6 References Chapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model 4.1 Introduction ; 4.2 Splitting and Energy Formulation ; 4.3 Working in a Finite Energy Interval ; 4.4 Energy Discretization and Kinetic Model 4.5 Conservation and Euler Equations for the Discretized Model 4.6 Energy Formulation of the Collision Dynamics ; 4.7 Concluding Remarks ; 4.8 References ; Chapter 5. Semi-continuous Extended Kinetic Theory ; 5.1 Introduction ; 5.2 Continuous Kinetic Equations 5.3 Semi-continuous Kinetic Equations |
Record Nr. | UNINA-9910782280603321 |
River Edge, NJ, : World Scientific, c2003 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Lecture notes on the discretization of the Boltzmann equation [[electronic resource] /] / editors Nicola Bellomo, Renée Gatignol |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (317 p.) |
Disciplina | 530.13/8 |
Altri autori (Persone) |
BellomoN
GatignolRenée |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory
Finite element method Differential equations - Asymptotic theory |
ISBN |
1-281-94792-X
9786611947927 981-279-690-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Preface ; Chapter 1. From the Boltzmann Equation to Discretized Kinetic Models ; 1.1 Introduction ; 1.2 The Nonlinear Boltzmann Equation ; 1.3 The Discrete and Semicontinuous Boltzmann Equation ; 1.4 Plan of the Lecture Notes ; 1.5 References
Chapter 2. Discrete Velocity Models for Gas Mixtures 2.1 Introduction ; 2.2 DVM for mixtures ; 2.3 Models with a finite number of velocities and the problem of spurious invariants ; 2.4 Constructing DVM with arbitrarily many velocities ; 2.5 Concluding remarks ; 2.6 References Chapter 3. Discrete Velocity Models with Multiple Collisions 3.1 Introduction ; 3.2 Discrete Models with Multiple Collisions ; 3.3 Macroscopic Description ; 3.4 Boundary Conditions for Discrete Models ; 3.5 Conclusion ; 3.6 References Chapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model 4.1 Introduction ; 4.2 Splitting and Energy Formulation ; 4.3 Working in a Finite Energy Interval ; 4.4 Energy Discretization and Kinetic Model 4.5 Conservation and Euler Equations for the Discretized Model 4.6 Energy Formulation of the Collision Dynamics ; 4.7 Concluding Remarks ; 4.8 References ; Chapter 5. Semi-continuous Extended Kinetic Theory ; 5.1 Introduction ; 5.2 Continuous Kinetic Equations 5.3 Semi-continuous Kinetic Equations |
Record Nr. | UNINA-9910821245403321 |
River Edge, NJ, : World Scientific, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Multigroup equations for the description of the particle transport in semiconductors [[electronic resource] /] / Martin Galler |
Autore | Galler Martin <1977-> |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (247 p.) |
Disciplina | 530.13/8 |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory - Mathematics
Semiconductors - Mathematics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-90577-1
9786611905774 981-270-338-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1. Introduction; 2. The Bloch-Boltzmann-Peierls Equations; 3. Multigroup Model Equations for Polar Semiconductors; 4. Particle Transport in Indium Phosphide; 5. Particle Transport in Gallium Arsenide; 6. Multigroup Equations for Degenerated Carrier Gases; 7. The Two-dimensional Electron Gas; 8. The Multigroup-WENO Solver for Semiconductor Device Simulation; 9. Simulation of Silicon Devices; 10. Simulation of Gallium Arsenide Devices; 11. Conclusion; Bibliography; Related Publications of the Author; Index |
Record Nr. | UNINA-9910450673803321 |
Galler Martin <1977->
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Hackensack, N.J., : World Scientific, c2005 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Multigroup equations for the description of the particle transport in semiconductors [[electronic resource] /] / Martin Galler |
Autore | Galler Martin <1977-> |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (247 p.) |
Disciplina | 530.13/8 |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory - Mathematics
Semiconductors - Mathematics |
ISBN |
1-281-90577-1
9786611905774 981-270-338-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1. Introduction; 2. The Bloch-Boltzmann-Peierls Equations; 3. Multigroup Model Equations for Polar Semiconductors; 4. Particle Transport in Indium Phosphide; 5. Particle Transport in Gallium Arsenide; 6. Multigroup Equations for Degenerated Carrier Gases; 7. The Two-dimensional Electron Gas; 8. The Multigroup-WENO Solver for Semiconductor Device Simulation; 9. Simulation of Silicon Devices; 10. Simulation of Gallium Arsenide Devices; 11. Conclusion; Bibliography; Related Publications of the Author; Index |
Record Nr. | UNINA-9910783921603321 |
Galler Martin <1977->
![]() |
||
Hackensack, N.J., : World Scientific, c2005 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Multigroup equations for the description of the particle transport in semiconductors [[electronic resource] /] / Martin Galler |
Autore | Galler Martin <1977-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (247 p.) |
Disciplina | 530.13/8 |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Transport theory - Mathematics
Semiconductors - Mathematics |
ISBN |
1-281-90577-1
9786611905774 981-270-338-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface; Contents; 1. Introduction; 2. The Bloch-Boltzmann-Peierls Equations; 3. Multigroup Model Equations for Polar Semiconductors; 4. Particle Transport in Indium Phosphide; 5. Particle Transport in Gallium Arsenide; 6. Multigroup Equations for Degenerated Carrier Gases; 7. The Two-dimensional Electron Gas; 8. The Multigroup-WENO Solver for Semiconductor Device Simulation; 9. Simulation of Silicon Devices; 10. Simulation of Gallium Arsenide Devices; 11. Conclusion; Bibliography; Related Publications of the Author; Index |
Record Nr. | UNINA-9910817006203321 |
Galler Martin <1977->
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Hackensack, N.J., : World Scientific, c2005 | ||
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Lo trovi qui: Univ. Federico II | ||
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Scaling analysis in modeling transport and reaction processes : a systematic approach to model building and the art of approximation / / William B. Krantz |
Autore | Krantz William B. <1939-> |
Pubbl/distr/stampa | [New York] : , : AIChE |
Descrizione fisica | 1 online resource (547pages) |
Disciplina |
511.4
530.13/8 |
Soggetto topico |
Transport theory - Mathematics
Chemical reactions - Mathematical models Scaling laws (Statistical physics) Approximation theory Measurement |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-91685-0
9786610916856 0-470-12193-9 0-470-12192-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SCALING ANALYSIS IN MODELING TRANSPORT AND REACTION PROCESSES; CONTENTS; Preface; Acknowledgments; 1 Introduction; 1.1 Motivation for Using Scaling Analysis; 1.2 Organization of the Book; 2 Systematic Method for Scaling Analysis; 2.1 Introduction; 2.2 Mathematical Basis for Scaling Analysis; 2.3 Order-of-One Scaling Analysis; 2.4 Scaling Alternative for Dimensional Analysis; 2.5 Summary; 3 Applications in Fluid Dynamics; 3.1 Introduction; 3.2 Fully Developed Laminar Flow; 3.3 Creeping- and Lubrication-Flow Approximations; 3.4 Boundary-Layer-Flow Approximation
3.5 Quasi-Steady-State-Flow Approximation3.6 Flows with End and Sidewall Effects; 3.7 Free Surface Flow; 3.8 Porous Media Flow; 3.9 Compressible Fluid Flow; 3.10 Dimensional Analysis Correlation for the Terminal Velocity; 3.11 Summary; 3.E Example Problems; 3.P Practice Problems; 4 Applications in Heat Transfer; 4.1 Introduction; 4.2 Steady-State Heat Transfer with End Effects; 4.3 Film and Penetration Theory Approximations; 4.4 Small Biot Number Approximation; 4.5 Small Peclet Number Approximation; 4.6 Boundary-Layer or Large Peclet Number Approximation; 4.7 Heat Transfer with Phase Change 4.8 Temperature-Dependent Physical Properties4.9 Thermally Driven Free Convection: Boussinesq Approximation; 4.10 Dimensional Analysis Correlation for Cooking a Turkey; 4.11 Summary; 4.E Example Problems; 4.P Practice Problems; 5 Applications in Mass Transfer; 5.1 Introduction; 5.2 Film Theory Approximation; 5.3 Penetration Theory Approximation; 5.4 Small Peclet Number Approximation; 5.5 Small Damköhler Number Approximation; 5.6 Large Peclet Number Approximation; 5.7 Quasi-Steady-State Approximation; 5.8 Membrane Permeation with Nonconstant Diffusivity 5.9 Solutally Driven Free Convection Due to Evapotranspiration5.10 Dimensional Analysis for a Membrane-Lung Oxygenator; 5.11 Summary; 5.E Example Problems; 5.P Practice Problems; 6 Applications in Mass Transfer with Chemical Reaction; 6.1 Introduction; 6.2 Concept of the Microscale Element; 6.3 Scaling the Microscale Element; 6.4 Slow Reaction Regime; 6.5 Intermediate Reaction Regime; 6.6 Fast Reaction Regime; 6.7 Instantaneous Reaction Regime; 6.8 Scaling the Macroscale Element; 6.9 Kinetic Domain of the Slow Reaction Regime; 6.10 Diffusional Domain of the Slow Reaction Regime 6.11 Implications of Scaling Analysis for Reactor Design6.12 Mass-Transfer Coefficients for Reacting Systems; 6.13 Design of a Continuous Stirred Tank Reactor; 6.14 Design of a Packed Column Absorber; 6.15 Summary; 6.P Practice Problems; 7 Applications in Process Design; 7.1 Introduction; 7.2 Design of a Membrane Lung Oxygenator; 7.3 Pulsed Single-Bed Pressure-Swing Adsorption; 7.4 Thermally Induced Phase-Separation Process; 7.5 Fluid-Wall Aerosol Flow Reactor for Hydrogen Production; 7.6 Summary; 7.P Practice Problems; Appendix A Sign Convention for the Force on a Fluid Particle Appendix B Generalized Form of the Transport Equations |
Record Nr. | UNINA-9910143413703321 |
Krantz William B. <1939->
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[New York] : , : AIChE | ||
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Lo trovi qui: Univ. Federico II | ||
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Scaling analysis in modeling transport and reaction processes : a systematic approach to model building and the art of approximation / / William B. Krantz |
Autore | Krantz William B. <1939-> |
Pubbl/distr/stampa | [New York] : , : AIChE |
Descrizione fisica | 1 online resource (547pages) |
Disciplina |
511.4
530.13/8 |
Soggetto topico |
Transport theory - Mathematics
Chemical reactions - Mathematical models Scaling laws (Statistical physics) Approximation theory Measurement |
ISBN |
1-280-91685-0
9786610916856 0-470-12193-9 0-470-12192-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SCALING ANALYSIS IN MODELING TRANSPORT AND REACTION PROCESSES; CONTENTS; Preface; Acknowledgments; 1 Introduction; 1.1 Motivation for Using Scaling Analysis; 1.2 Organization of the Book; 2 Systematic Method for Scaling Analysis; 2.1 Introduction; 2.2 Mathematical Basis for Scaling Analysis; 2.3 Order-of-One Scaling Analysis; 2.4 Scaling Alternative for Dimensional Analysis; 2.5 Summary; 3 Applications in Fluid Dynamics; 3.1 Introduction; 3.2 Fully Developed Laminar Flow; 3.3 Creeping- and Lubrication-Flow Approximations; 3.4 Boundary-Layer-Flow Approximation
3.5 Quasi-Steady-State-Flow Approximation3.6 Flows with End and Sidewall Effects; 3.7 Free Surface Flow; 3.8 Porous Media Flow; 3.9 Compressible Fluid Flow; 3.10 Dimensional Analysis Correlation for the Terminal Velocity; 3.11 Summary; 3.E Example Problems; 3.P Practice Problems; 4 Applications in Heat Transfer; 4.1 Introduction; 4.2 Steady-State Heat Transfer with End Effects; 4.3 Film and Penetration Theory Approximations; 4.4 Small Biot Number Approximation; 4.5 Small Peclet Number Approximation; 4.6 Boundary-Layer or Large Peclet Number Approximation; 4.7 Heat Transfer with Phase Change 4.8 Temperature-Dependent Physical Properties4.9 Thermally Driven Free Convection: Boussinesq Approximation; 4.10 Dimensional Analysis Correlation for Cooking a Turkey; 4.11 Summary; 4.E Example Problems; 4.P Practice Problems; 5 Applications in Mass Transfer; 5.1 Introduction; 5.2 Film Theory Approximation; 5.3 Penetration Theory Approximation; 5.4 Small Peclet Number Approximation; 5.5 Small Damköhler Number Approximation; 5.6 Large Peclet Number Approximation; 5.7 Quasi-Steady-State Approximation; 5.8 Membrane Permeation with Nonconstant Diffusivity 5.9 Solutally Driven Free Convection Due to Evapotranspiration5.10 Dimensional Analysis for a Membrane-Lung Oxygenator; 5.11 Summary; 5.E Example Problems; 5.P Practice Problems; 6 Applications in Mass Transfer with Chemical Reaction; 6.1 Introduction; 6.2 Concept of the Microscale Element; 6.3 Scaling the Microscale Element; 6.4 Slow Reaction Regime; 6.5 Intermediate Reaction Regime; 6.6 Fast Reaction Regime; 6.7 Instantaneous Reaction Regime; 6.8 Scaling the Macroscale Element; 6.9 Kinetic Domain of the Slow Reaction Regime; 6.10 Diffusional Domain of the Slow Reaction Regime 6.11 Implications of Scaling Analysis for Reactor Design6.12 Mass-Transfer Coefficients for Reacting Systems; 6.13 Design of a Continuous Stirred Tank Reactor; 6.14 Design of a Packed Column Absorber; 6.15 Summary; 6.P Practice Problems; 7 Applications in Process Design; 7.1 Introduction; 7.2 Design of a Membrane Lung Oxygenator; 7.3 Pulsed Single-Bed Pressure-Swing Adsorption; 7.4 Thermally Induced Phase-Separation Process; 7.5 Fluid-Wall Aerosol Flow Reactor for Hydrogen Production; 7.6 Summary; 7.P Practice Problems; Appendix A Sign Convention for the Force on a Fluid Particle Appendix B Generalized Form of the Transport Equations |
Record Nr. | UNINA-9910830450603321 |
Krantz William B. <1939->
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[New York] : , : AIChE | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Scaling analysis in modeling transport and reaction processes : a systematic approach to model building and the art of approximation / / William B. Krantz |
Autore | Krantz William B. <1939-> |
Pubbl/distr/stampa | [New York] : , : AIChE |
Descrizione fisica | 1 online resource (547pages) |
Disciplina |
511.4
530.13/8 |
Soggetto topico |
Transport theory - Mathematics
Chemical reactions - Mathematical models Scaling laws (Statistical physics) Approximation theory Measurement |
ISBN |
1-280-91685-0
9786610916856 0-470-12193-9 0-470-12192-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SCALING ANALYSIS IN MODELING TRANSPORT AND REACTION PROCESSES; CONTENTS; Preface; Acknowledgments; 1 Introduction; 1.1 Motivation for Using Scaling Analysis; 1.2 Organization of the Book; 2 Systematic Method for Scaling Analysis; 2.1 Introduction; 2.2 Mathematical Basis for Scaling Analysis; 2.3 Order-of-One Scaling Analysis; 2.4 Scaling Alternative for Dimensional Analysis; 2.5 Summary; 3 Applications in Fluid Dynamics; 3.1 Introduction; 3.2 Fully Developed Laminar Flow; 3.3 Creeping- and Lubrication-Flow Approximations; 3.4 Boundary-Layer-Flow Approximation
3.5 Quasi-Steady-State-Flow Approximation3.6 Flows with End and Sidewall Effects; 3.7 Free Surface Flow; 3.8 Porous Media Flow; 3.9 Compressible Fluid Flow; 3.10 Dimensional Analysis Correlation for the Terminal Velocity; 3.11 Summary; 3.E Example Problems; 3.P Practice Problems; 4 Applications in Heat Transfer; 4.1 Introduction; 4.2 Steady-State Heat Transfer with End Effects; 4.3 Film and Penetration Theory Approximations; 4.4 Small Biot Number Approximation; 4.5 Small Peclet Number Approximation; 4.6 Boundary-Layer or Large Peclet Number Approximation; 4.7 Heat Transfer with Phase Change 4.8 Temperature-Dependent Physical Properties4.9 Thermally Driven Free Convection: Boussinesq Approximation; 4.10 Dimensional Analysis Correlation for Cooking a Turkey; 4.11 Summary; 4.E Example Problems; 4.P Practice Problems; 5 Applications in Mass Transfer; 5.1 Introduction; 5.2 Film Theory Approximation; 5.3 Penetration Theory Approximation; 5.4 Small Peclet Number Approximation; 5.5 Small Damköhler Number Approximation; 5.6 Large Peclet Number Approximation; 5.7 Quasi-Steady-State Approximation; 5.8 Membrane Permeation with Nonconstant Diffusivity 5.9 Solutally Driven Free Convection Due to Evapotranspiration5.10 Dimensional Analysis for a Membrane-Lung Oxygenator; 5.11 Summary; 5.E Example Problems; 5.P Practice Problems; 6 Applications in Mass Transfer with Chemical Reaction; 6.1 Introduction; 6.2 Concept of the Microscale Element; 6.3 Scaling the Microscale Element; 6.4 Slow Reaction Regime; 6.5 Intermediate Reaction Regime; 6.6 Fast Reaction Regime; 6.7 Instantaneous Reaction Regime; 6.8 Scaling the Macroscale Element; 6.9 Kinetic Domain of the Slow Reaction Regime; 6.10 Diffusional Domain of the Slow Reaction Regime 6.11 Implications of Scaling Analysis for Reactor Design6.12 Mass-Transfer Coefficients for Reacting Systems; 6.13 Design of a Continuous Stirred Tank Reactor; 6.14 Design of a Packed Column Absorber; 6.15 Summary; 6.P Practice Problems; 7 Applications in Process Design; 7.1 Introduction; 7.2 Design of a Membrane Lung Oxygenator; 7.3 Pulsed Single-Bed Pressure-Swing Adsorption; 7.4 Thermally Induced Phase-Separation Process; 7.5 Fluid-Wall Aerosol Flow Reactor for Hydrogen Production; 7.6 Summary; 7.P Practice Problems; Appendix A Sign Convention for the Force on a Fluid Particle Appendix B Generalized Form of the Transport Equations |
Record Nr. | UNINA-9910840748403321 |
Krantz William B. <1939->
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[New York] : , : AIChE | ||
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Lo trovi qui: Univ. Federico II | ||
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Scattering matrix approach to non-stationary quantum transport [[electronic resource] /] / Michael V. Moskalets |
Autore | Moskalets Michael V |
Pubbl/distr/stampa | London, : Imperial College Press |
Descrizione fisica | 1 online resource (297 p.) |
Disciplina | 530.13/8 |
Soggetto topico |
S-matrix theory
Transport theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-84816-835-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
1.4.6.1 Spectrum1.4.6.2 Circulating current; 2. Current noise; 2.1 Nature of a current noise; 2.1.1 Thermal noise; 2.1.2 Shot noise; 2.1.3 Combined noise; 2.2 Sample with continuous spectrum; 2.2.1 Current correlator; 2.2.2 Current correlator in the frequency domain; 2.2.2.1 Correlator for incoming currents; 2.2.2.2 Correlator for incoming and outgoing currents; 2.2.2.3 Correlator for outgoing currents; 2.2.3 Spectral noise power for energy-independent scattering; 2.2.4 Zero frequency noise power; 2.2.4.1 Noise power conservation law; 2.2.4.2 Sign rule for the noise power
2.2.4.3 Scatterer with two leads2.2.5 Fano factor; 3. Non-stationary scattering theory; 3.1 Schr dinger equation with a potential periodic in time; 3.1.1 Perturbation theory; 3.1.2 Floquet functions method; 3.1.3 Potential oscillating in time and uniform in space; 3.2 Floquet scattering matrix; 3.2.1 Floquet scattering matrix properties; 3.2.1.1 Unitarity; 3.2.1.2 Micro-reversibility; 3.3 Current operator; 3.3.1 Alternating current; 3.3.2 Direct current; 3.4 Adiabatic approximation for the Floquet scattering matrix; 3.4.1 Frozen scattering matrix; 3.4.2 Zeroth-order approximation 3.4.3 First-order approximation3.5 Beyond the adiabatic approximation; 3.5.1 Scattering matrix in mixed energy-time representation; 3.5.2 Dynamic point-like potential; 3.5.3 Dynamic double-barrier potential; 3.5.3.1 Adiabatic approximation; 3.5.4 Unitarity and the sum over trajectories; 3.5.5 Current and the sum over trajectories; 3.5.5.1 Temperature-independent contribution to generated current; 3.5.5.2 Contribution to generated current dependent on temperature; 3.5.5.3 Nature of two contributions to generated current; 4. Direct current generated by the dynamic scatterer 4.1 Steady particle flow4.1.1 Distribution function; 4.1.2 Adiabatic regime: Current linear in the pump frequency; 4.1.3 Current quadratic in the pump frequency; 4.2 Quantum pump effect; 4.2.1 Quasi-particle picture of direct current generation; 4.2.2 Interference mechanism of direct current generation; 4.3 Single-parameter adiabatic direct current generation; 5. Alternating current generated by the dynamic scatterer; 5.1 Adiabatic alternating current; 5.2 External AC bias; 5.2.1 Second quantization operators for incident and scattered electrons; 5.2.2 Alternating current 5.2.3 Direct current |
Record Nr. | UNINA-9910463733303321 |
Moskalets Michael V
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London, : Imperial College Press | ||
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Lo trovi qui: Univ. Federico II | ||
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