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Collective Phenomena in Plasmas and Elsewhere : Kinetic and Hydrodynamic Approaches
Collective Phenomena in Plasmas and Elsewhere : Kinetic and Hydrodynamic Approaches
Autore Ourabah Kamel
Edizione [1st ed.]
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2023
Descrizione fisica 1 online resource (192 pages)
ISBN 1-394-23675-1
1-394-23673-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Introduction -- Part 1. Theory -- Chapter 1. Kinetic Theory -- 1.1. The impossibility of an accurate approach -- 1.2. Boltzmann equation -- 1.3. Collision term -- 1.3.1. Absence of collisions: Vlasov equation -- 1.3.2. Bhatnagar-Gross-Krook relaxation model -- 1.3.3. Boltzmann collision integral -- 1.3.4. Fokker-Planck collision term -- 1.4. Steady state: Boltzmann distribution -- 1.5. Maxwell-Boltzmann distribution: properties -- 1.6. H-theorem -- 1.7. Paradoxes related to H-theorem -- 1.7.1. Loschmidt's paradox of irreversibility -- 1.7.2. Zermelo paradox -- Chapter 2. Hydrodynamic Approach -- 2.1. Fluid model: a heuristic approach -- 2.2. Macroscopic transport equation -- 2.3. Fluid model -- 2.4. Pressure tensor -- 2.4.1. Isotropic pressure -- 2.4.2. Anisotropic pressure -- 2.5. A deadlock in the fluid model: closure relationships -- 2.5.1. Zero pressure -- 2.5.2. Isothermal pressure -- 2.6. The collision effect -- Chapter 3. Quantum Models -- 3.1. Physical interest -- 3.2. Quantum hydrodynamic model -- 3.3. Quantum kinetic approach: Wigner-Moyal theory -- 3.3.1. Wigner distribution -- 3.3.2. Weyl transformation -- 3.3.3. Evolution of the Wigner distribution -- Chapter 4. General Relativity -- 4.1. Relativistic hydrodynamics -- 4.1.1. Conservation equations -- 4.1.2. Hydrodynamics in special relativity -- 4.1.3. Hydrodynamic model in general relativity -- 4.2. Relativistic kinetic theory -- 4.2.1. Basic concepts -- 4.2.2. Formulation of kinetic theory -- 4.2.3. Collision integral -- 4.2.4. Boltzmann equation in general relativity -- 4.2.5. H-theorem -- 4.2.6. Equilibrium state: Jüttner distribution -- Part 2. Applications -- Chapter 5. Plasmas -- 5.1. Electronic oscillations in classical plasmas: a hydrodynamic approach -- 5.2. Ion waves: hydrodynamic approach.
5.3. Classic plasmas: kinetic approach -- 5.4. Quantification of electronic oscillations: hydrodynamic and kinetic approaches -- 5.5. In a relativistic plasma: kinetic approach -- 5.6. Beyond the linear approach: the Korteweg-De Vries equation -- Chapter 6. Gravitational Systems -- 6.1. Jeans instability: hydrodynamic approach -- 6.2. Kinetic approach and collision effect -- 6.3. Jeans instability in the presence of dark matter -- 6.3.1. Kinetic approach -- 6.3.2. Hydrodynamic approach -- 6.4. Jeans instability: alternative theories -- Chapter 7. Bose-Einstein Condensates -- 7.1. Quantum hydrodynamic representation -- 7.2. Quantum kinetic representation -- 7.3. Kinetic approach to Bogoliubov oscillations -- Chapter 8. Cosmology and Dark Matter Models -- 8.1. Hydrodynamics of the Universe -- 8.1.1. Perturbation in a static Universe -- 8.1.2. Perturbations in an expanding Universe -- 8.2. Dark matter models -- 8.2.1. Hydrodynamic representation -- 8.2.2. Kinetic representation -- Appendix. Language of Relativity -- References -- Index -- EULA.
Record Nr. UNINA-9910830997403321
Ourabah Kamel  
Newark : , : John Wiley & Sons, Incorporated, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Collective Phenomena in Plasmas and Elsewhere : Kinetic and Hydrodynamic Approaches
Collective Phenomena in Plasmas and Elsewhere : Kinetic and Hydrodynamic Approaches
Autore Ourabah Kamel
Edizione [1st ed.]
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2023
Descrizione fisica 1 online resource (192 pages)
Disciplina 530.44
Soggetto topico Kinetic theory of matter
Hydrodynamics
ISBN 9781394236756
1394236751
9781394236732
1394236735
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Introduction -- Part 1. Theory -- Chapter 1. Kinetic Theory -- 1.1. The impossibility of an accurate approach -- 1.2. Boltzmann equation -- 1.3. Collision term -- 1.3.1. Absence of collisions: Vlasov equation -- 1.3.2. Bhatnagar-Gross-Krook relaxation model -- 1.3.3. Boltzmann collision integral -- 1.3.4. Fokker-Planck collision term -- 1.4. Steady state: Boltzmann distribution -- 1.5. Maxwell-Boltzmann distribution: properties -- 1.6. H-theorem -- 1.7. Paradoxes related to H-theorem -- 1.7.1. Loschmidt's paradox of irreversibility -- 1.7.2. Zermelo paradox -- Chapter 2. Hydrodynamic Approach -- 2.1. Fluid model: a heuristic approach -- 2.2. Macroscopic transport equation -- 2.3. Fluid model -- 2.4. Pressure tensor -- 2.4.1. Isotropic pressure -- 2.4.2. Anisotropic pressure -- 2.5. A deadlock in the fluid model: closure relationships -- 2.5.1. Zero pressure -- 2.5.2. Isothermal pressure -- 2.6. The collision effect -- Chapter 3. Quantum Models -- 3.1. Physical interest -- 3.2. Quantum hydrodynamic model -- 3.3. Quantum kinetic approach: Wigner-Moyal theory -- 3.3.1. Wigner distribution -- 3.3.2. Weyl transformation -- 3.3.3. Evolution of the Wigner distribution -- Chapter 4. General Relativity -- 4.1. Relativistic hydrodynamics -- 4.1.1. Conservation equations -- 4.1.2. Hydrodynamics in special relativity -- 4.1.3. Hydrodynamic model in general relativity -- 4.2. Relativistic kinetic theory -- 4.2.1. Basic concepts -- 4.2.2. Formulation of kinetic theory -- 4.2.3. Collision integral -- 4.2.4. Boltzmann equation in general relativity -- 4.2.5. H-theorem -- 4.2.6. Equilibrium state: Jüttner distribution -- Part 2. Applications -- Chapter 5. Plasmas -- 5.1. Electronic oscillations in classical plasmas: a hydrodynamic approach -- 5.2. Ion waves: hydrodynamic approach.
5.3. Classic plasmas: kinetic approach -- 5.4. Quantification of electronic oscillations: hydrodynamic and kinetic approaches -- 5.5. In a relativistic plasma: kinetic approach -- 5.6. Beyond the linear approach: the Korteweg-De Vries equation -- Chapter 6. Gravitational Systems -- 6.1. Jeans instability: hydrodynamic approach -- 6.2. Kinetic approach and collision effect -- 6.3. Jeans instability in the presence of dark matter -- 6.3.1. Kinetic approach -- 6.3.2. Hydrodynamic approach -- 6.4. Jeans instability: alternative theories -- Chapter 7. Bose-Einstein Condensates -- 7.1. Quantum hydrodynamic representation -- 7.2. Quantum kinetic representation -- 7.3. Kinetic approach to Bogoliubov oscillations -- Chapter 8. Cosmology and Dark Matter Models -- 8.1. Hydrodynamics of the Universe -- 8.1.1. Perturbation in a static Universe -- 8.1.2. Perturbations in an expanding Universe -- 8.2. Dark matter models -- 8.2.1. Hydrodynamic representation -- 8.2.2. Kinetic representation -- Appendix. Language of Relativity -- References -- Index -- EULA.
Record Nr. UNINA-9911019992503321
Ourabah Kamel  
Newark : , : John Wiley & Sons, Incorporated, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui