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General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple
| General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple |
| Autore | Smoller Joel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (69 p.) |
| Disciplina | 531/.1133 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Einstein field equations
Shock waves - Mathematical models Relativistic quantum theory General relativity (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9012-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Self-Similar Coordinates for the k=0 FRW Spacetime""; ""Chapter 3. The Expanding Wave Equations""; ""Chapter 4. Canonical Co-moving Coordinates and Comparison with the k=0 FRW Spacetimes""; ""Chapter 5. Leading Order Corrections to the Standard Model Induced by the Expanding Waves""; ""Chapter 6. A Foliation of the Expanding Wave Spacetimes into Flat Spacelike Hypersurfaces with Modified Scale Factor R(t)=ta.""; ""Chapter 7. Expanding Wave Corrections to the Standard Model in Approximate Co-moving Coordinates""
""Chapter 8. Redshift vs Luminosity Relations and the Anomalous Acceleration""""Chapter 9. Appendix: The Mirror Problem""; ""Chapter 10. Concluding Remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910478900403321 |
Smoller Joel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple
| General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple |
| Autore | Smoller Joel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (69 p.) |
| Disciplina | 531/.1133 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Einstein field equations
Shock waves - Mathematical models Relativistic quantum theory General relativity (Physics) |
| ISBN | 0-8218-9012-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Self-Similar Coordinates for the k=0 FRW Spacetime""; ""Chapter 3. The Expanding Wave Equations""; ""Chapter 4. Canonical Co-moving Coordinates and Comparison with the k=0 FRW Spacetimes""; ""Chapter 5. Leading Order Corrections to the Standard Model Induced by the Expanding Waves""; ""Chapter 6. A Foliation of the Expanding Wave Spacetimes into Flat Spacelike Hypersurfaces with Modified Scale Factor R(t)=ta.""; ""Chapter 7. Expanding Wave Corrections to the Standard Model in Approximate Co-moving Coordinates""
""Chapter 8. Redshift vs Luminosity Relations and the Anomalous Acceleration""""Chapter 9. Appendix: The Mirror Problem""; ""Chapter 10. Concluding Remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910788618703321 |
|
Smoller Joel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple
| General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology / / Joel Smoller, Blake Temple |
| Autore | Smoller Joel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (69 p.) |
| Disciplina | 531/.1133 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Einstein field equations
Shock waves - Mathematical models Relativistic quantum theory General relativity (Physics) |
| ISBN | 0-8218-9012-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Self-Similar Coordinates for the k=0 FRW Spacetime""; ""Chapter 3. The Expanding Wave Equations""; ""Chapter 4. Canonical Co-moving Coordinates and Comparison with the k=0 FRW Spacetimes""; ""Chapter 5. Leading Order Corrections to the Standard Model Induced by the Expanding Waves""; ""Chapter 6. A Foliation of the Expanding Wave Spacetimes into Flat Spacelike Hypersurfaces with Modified Scale Factor R(t)=ta.""; ""Chapter 7. Expanding Wave Corrections to the Standard Model in Approximate Co-moving Coordinates""
""Chapter 8. Redshift vs Luminosity Relations and the Anomalous Acceleration""""Chapter 9. Appendix: The Mirror Problem""; ""Chapter 10. Concluding Remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910812544403321 |
|
Smoller Joel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman
| General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman |
| Autore | Berman Marcelo Samuel |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2012 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 530.11 |
| Collana |
Physics research and technology
Mathematics research developments |
| Soggetto topico |
General relativity (Physics)
Acceleration (Mechanics) Relativistic quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-62100-107-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910453205603321 |
|
Berman Marcelo Samuel
|
||
| New York, : Nova Science Publishers, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman
| General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman |
| Autore | Berman Marcelo Samuel |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2012 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 530.11 |
| Collana |
Physics research and technology
Mathematics research developments |
| Soggetto topico |
General relativity (Physics)
Acceleration (Mechanics) Relativistic quantum theory |
| ISBN | 1-62100-107-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910779609003321 |
|
Berman Marcelo Samuel
|
||
| New York, : Nova Science Publishers, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman
| General relativity and the pioneers anomaly [[electronic resource] /] / Marcelo Samuel Berman |
| Autore | Berman Marcelo Samuel |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2012 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 530.11 |
| Collana |
Physics research and technology
Mathematics research developments |
| Soggetto topico |
General relativity (Physics)
Acceleration (Mechanics) Relativistic quantum theory |
| ISBN | 1-62100-107-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- GENERAL RELATIVITY AND THE PIONEERS ANOMALY -- GENERAL RELATIVITY AND THE PIONEERS ANOMALY -- Contents -- Preface and Introduction -- Part I MATHEMATICAL PRELIMINARIES -- Tensors in Amorphous Spaces -- 1.1.Introduction -- 1.2.VectorsandTensors -- ContravariantVectors -- ContravariantTensorsof2NDRank -- CovariantVectors -- CovariantTensorsof2ndRank -- MixedTensors -- SolvedProblem -- 1.3.AlgebraicOperationswithTensors -- ExteriorProduct -- Contraction -- InteriorProduct -- TestsofTensorCharacter -- 1.4.FinalObservations -- ReferencesforChapter1 -- Tensors in Riemann Spaces -- 2.1.Metric -- ContravariantMetricTensor -- 2.2.ChristoffelSymbols -- 2.3.CovariantDerivative -- 2.4.CurvatureTensors -- RicciTensor -- RicciScalarCurvature -- Einstein'sTensor -- GeodesicCoordinateSystem -- BianchiIdentity -- ReferencesforFurtherStudy -- Part II INTRODUCTION TO GENERAL RELATIVITY -- Basic Theory -- 3.1.TheBasicPrinciples -- 3.2.Energy-MomentumTensor -- 1st)ContinuityEquation. -- 2nd)Euler'sequation. -- 3.3.TijfortheElectromagneticField -- 3.4.Einstein'sFieldEquations -- 3.5.IntroducingtheCosmologicalConstant -- 3.6.ReductionofGRTintoNewtonianPhysics -- 3.7.TheGeodesicsEquation-aDerivation -- 3.8.GravitationalRadiation -- Schwarzschild's Metric and Classical Experimental Tests -- 4.1.SphericallySymmetricMetrics -- 4.2.TheMotionofPlanetsandPerihelionPrecession -- 4.3.PropagationofLightnearGravitationalFields -- 4.4.SpectralDisplacementduetoGravitationalCause -- 4.5.OtherVerificationsoftheGRT -- 1st)Gravitomagnetismandgalacticrotations -- 2nd)Hafele-Keatingexperiment: -- 3rd)Shapiroexperiment: -- 4th)Hulse-Taylorobservations: -- 5th)GlobalPositioningSystem(GPS)-NAVSTAR: -- FinalComments -- Complements of Tensor Calculus and General Relativity (Optional Study) -- 5.1.OrthogonalTransformationsandCartesianTensors -- CartesianTensors.
5.2.ParallelTransportinRiemannSpace -- 5.3.Fermi-Walker'sTransport -- 5.4.LieDerivative -- 5.5.Isometries -- 5.6.StationaryandStaticFields -- StaticField -- MathematicalNote. -- Part III INTRODUCTION TO RELATIVISTIC COSMOLOGY -- Digression into Philosophical and Mathematical Matters (Optional Study) -- 6.1.NewtonianConceptsofSpaceandTime -- 6.2.ObjectionstoNewton'sCosmology -- 6.3.Mach'sPrinciple -- 6.4.ThePotentialforGravitation -- 6.5.EquivalencePrinciple -- 6.6.Theprinciplesof(General)Relativity,Covariance,andSimplicity -- 6.7.Principlesof"cosmictime"and"correspondence" -- FinalObservations: -- 6.8.RevisitingMach'sPrinciple -- Introductory Cosmological Models -- 7.1.DerivationoftheHomogeneousandIsotropicMetric -- 7.2.Einstein'sFieldEquationsforCosmology -- 7.3.ConstantDecelerationParameterModels -- 7.4.CosmologicalRed-Shift -- 7.5.Hubble'sLaw -- 7.6.CosmologicalModelforLargeLambda -- 7.7.Inflation -- 7.8.Planck'sUniverseandtheL-problem -- 7.9.Raychaudhuri'sEquationandanAlternativeForm -- 7.10.GeodesicsforPhotons,Particles,andTachyonsinRobertson-Walker'sCosmology -- IntroductiontotheProblem -- NullGeodesics -- GeodesicsforParticlesandTachyonsinaflatUniverse -- 7.11.EnergyofRobertson-Walker'sUniverse -- 7.12.TheZero-TotalEnergyDensityoftheUniverse -- 7.13.TheCosmologicalNewtonianLimitofGeneralRelativity -- Part IV THE PIONEERS ANOMALY -- The Pioneers Anomaly and a Machian Universe -- 8.1.BriefHistoryofthePioneersAnomaly -- 8.2.TheZero-TotalEnergyMachianUniverse -- APPLICATION1-THEPIONEERSANOMALIES -- APPLICATION2-MAGNETICFIELDOFTHEUNIVERSE -- APPLICATION3-TIME-VARYINGNEUTRINOMASS -- Atheoryforneutrinosenergydensity -- APPLICATION4-AREMASSANDLENGTHQUANTIZED? -- Macromassandmicromass -- Quantizationofgeometry -- RemovalofinitialsingularityinCosmology -- 8.3.Dirac'sLNHwithTime-VaryingFundamental"Constants" -- POWER-LAWVARIATIONS -- EXPONENTIALINFLATION. ROTATIONOFTHEUNIVERSE -- PROSANDCONSOFTHEPRESENTCALCULATIONS -- 8.4.OnSciama'sMachianOriginofInertia -- SCIAMA'SINERTIAMODEL -- GRANEAUANDGRANEAU'STHEORY -- 8.5.Sciama'sMachianUniverse -- ONBERRY'SMACHIANARGUMENT -- GRAVITATIONALRADIATIONINSCIAMA'SMACHIANMODEL -- QUADRUPOLEANDDIPOLERADIATION -- TEMPERATUREOFTHEUNIVERSE.ENTROPY -- CONCLUSIONS -- 8.6.ExactBrans-DickeRelationandVariableSpeedofLight -- PIONEERSANOMALYSOLUTION -- CONCLUSIONS -- Relativistic Cosmology and the Pioneers Anomaly -- 9.1.GeneralisedRobertson-Walker'sMetric:RotationPlusEx-pansion -- ZERO-TOTALENERGY-DENSITYOFTHEROTATINGEVOLUTIONARYUNIVERSE -- 9.2.GeneralisedRobertson-Walker'sMetric:RotationPlusEx-pansion-II -- ROTATINGEVOLUTIONARYMETRICS -- GENERALISEDGAUSSIANMETRICS -- SOMECOMMENTS -- 9.3.ThePioneersAnomalyandaMachianGeneralRelativisticModel -- ENERGYOFTHEROTATINGEVOLUTIONARYUNIVERSE -- ANALTERNATIVEDERIVATION -- PIONEERSANOMALYREVISITED -- SOMECOMMENTSANDDISCUSSION -- 9.4.GeneralRelativisticCosmologicalModelswithPioneersAnomaly -- ANEXACTSOLUTIONTOTHEPIONEERSANOMALY -- CONCLUSIONS -- 9.5.TheFundamentalTheoremforthePioneersAnomalySo-lutioninGeneralRelativity -- 9.6.ThePioneersAnomalySolutionwithUniversalSpinCon-servationinGeneralRelativity -- The Pioneers Anomaly and Several Relativistic Theories -- 10.1.OnSchwarzschild'sandRobertson-Walker´sModels -- CLASSICALORIGINFORTHEDARKENERGY -- CONCLUSIONSANDPREDICTIONS -- 10.2.LinearizedGravitomagnetismandPioneersAnomaly -- GENERALRELATIVISTICLINEARPERTURBATIONAPPROACH -- ENERGYDENSITYOFTHEROTATINGUNIVERSE -- 10.3.ThePioneersAnomalyinaVariableSpeedofLightRela-tivisticCosmology -- FIELDEQUATIONSANDCONSTANTDECELERATIONSOLUTION -- PIONEERSANOMALYSOLUTION -- 10.4.EnergyandStabilityofOurUniverse -- THEZERO-TOTALENERGYOFTHEROTATINGEVOLUTIONARYUNI-VERSE -- STABILITYOFOURUNIVERSE -- 10.5.Frame-Dragging,Mach.sPrinciple,andthePioneersAnomalies. 10.6.GravitationalLarmorTheoremandthePioneersAnomaly -- Possible Solutions to the Pioneers Anomaly -- 11.1.EvidenceontheRotationoftheUniverse -- 11.2.ThermalEmissionasDecelerationCause -- 11.3.MOND(ModifiedNewtonianDynamics)byMilgrom -- 11.4.OtherExplanations -- 11.5.ConcludingRemarks -- Part V BIBLIOGRAPHY AND REFERENCES -- Bibliography and References -- INDEX. |
| Record Nr. | UNINA-9910812527603321 |
|
Berman Marcelo Samuel
|
||
| New York, : Nova Science Publishers, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to relativistic statistical mechanics [[electronic resource] ] : classical and quantum / / Rémi Hakim
| Introduction to relativistic statistical mechanics [[electronic resource] ] : classical and quantum / / Rémi Hakim |
| Autore | Hakim Rémi <1936-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (567 p.) |
| Disciplina | 530.13 |
| Soggetto topico |
Statistical mechanics
Relativistic quantum theory Relativistic kinematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-23472-6
9786613234728 981-4322-45-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Notations and Conventions; Introduction; 1. The One-Particle Relativistic Distribution Function; 1.1 The One-Particle Relativistic Distribution Function; 1.1.1 The phase space "volume element"; 1.2 The Juttner-Synge Equilibrium Distribution; 1.2.1 Thermodynamics of the Juttner-Synge gas; 1.2.2 Thermal velocity; 1.2.3 Moments of the Juttner-Synge function; 1.2.4 Orthogonal polynomials; 1.2.5 Zeromass particles; 1.3 From the Microcanonical Distribution to the Juttner-Synge One; 1.4 Equilibrium Fluctuations; 1.5 One-Particle Liouville Theorem
1.5.1 Relativistic Liouville equation from the Hamiltonian equations of motion1.5.2 Conditions for the Juttner-Synge functions to be an equilibrium; 1.6 The Relativistic Rotating Gas; 2. Relativistic Kinetic Theory and the BGK Equation; 2.1 Relativistic Hydrodynamics; 2.1.1 Sound velocity; 2.1.2 The Eckart approach; 2.1.3 The Landau-Lifschitz approach; 2.2 The Relaxation Time Approximation; 2.3 The Relativistic Kinetic Theory Approach to Hydrodynamics; 2.4 The Static Conductivity Tensor; 2.5 Approximation Methods for the Relativistic Boltzmann Equation and Other Kinetic Equations 2.5.1 A simple Chapman-Enskog approximation2.6 Transport Coefficients for a System Embedded in aMagnetic Field; 3. Relativistic Plasmas; 3.1 Electromagnetic Quantities in Covariant Form; 3.2 The Static Conductivity Tensor; 3.3 Debye-H ̈uckel Law; 3.4 Derivation of the Plasma Modes; 3.4.1 Evaluation of the various integrals; 3.4.2 Collective modes in extreme cases; 3.5 Brief Discussion of the Plasma Modes; 3.6 The Conductivity Tensor; 3.7 Plasma-Beam Instability; 3.7.1 Perturbed dispersion relations for the plasma-beamsystem; 3.7.2 Stability of the beam-plasma system 4. Curved Space-Time and Cosmology4.1 Basic Modifications; 4.2 Thermal Equilibrium in a Gravitational Field; 4.2.1 Thermal equilibrium in a static isotropicmetric; 4.3 Einstein-Vlasov Equation; 4.3.1 Linearization of Einstein's equation; 4.3.2 The formal solution to the linearized Einstein equation; 4.3.3 The self-consistent kinetic equation for the gravitating gas; 4.4 An Illustration in Cosmology; 4.4.1 The two-timescale approximation; 4.4.2 Derivation of the dispersion relations (a rough outline); 4.5 Cosmology and Relativistic Kinetic Theory; 4.5.1 Cosmology: a very brief overview 4.5.2 Kinetic theory and cosmology4.5.3 Kinetic theory of the observed universe; 4.5.4 Statistical mechanics in the primeval universe; 4.5.5 Particle survival; 5. Relativistic Statistical Mechanics; 5.1 The Dynamical Problem; 5.2 Statement of the Main Statistical Problems; 5.2.1 The initial value problem: observations andmeasures; 5.2.2 Phase space and the Gibbs ensemble; 5.3 Many-Particle Distribution Functions; 5.3.1 Statistics of the particles' manifolds; 5.4 The Relativistic BBGKY Hierarchy; 5.4.1 Cluster decomposition of the relativistic distribution functions 5.5 Self-interaction and Radiation |
| Record Nr. | UNINA-9910464529103321 |
|
Hakim Rémi <1936->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to relativistic statistical mechanics [[electronic resource] ] : classical and quantum / / Rémi Hakim
| Introduction to relativistic statistical mechanics [[electronic resource] ] : classical and quantum / / Rémi Hakim |
| Autore | Hakim Rémi <1936-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (567 p.) |
| Disciplina | 530.13 |
| Soggetto topico |
Statistical mechanics
Relativistic quantum theory Relativistic kinematics |
| ISBN |
1-283-23472-6
9786613234728 981-4322-45-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Notations and Conventions; Introduction; 1. The One-Particle Relativistic Distribution Function; 1.1 The One-Particle Relativistic Distribution Function; 1.1.1 The phase space "volume element"; 1.2 The Juttner-Synge Equilibrium Distribution; 1.2.1 Thermodynamics of the Juttner-Synge gas; 1.2.2 Thermal velocity; 1.2.3 Moments of the Juttner-Synge function; 1.2.4 Orthogonal polynomials; 1.2.5 Zeromass particles; 1.3 From the Microcanonical Distribution to the Juttner-Synge One; 1.4 Equilibrium Fluctuations; 1.5 One-Particle Liouville Theorem
1.5.1 Relativistic Liouville equation from the Hamiltonian equations of motion1.5.2 Conditions for the Juttner-Synge functions to be an equilibrium; 1.6 The Relativistic Rotating Gas; 2. Relativistic Kinetic Theory and the BGK Equation; 2.1 Relativistic Hydrodynamics; 2.1.1 Sound velocity; 2.1.2 The Eckart approach; 2.1.3 The Landau-Lifschitz approach; 2.2 The Relaxation Time Approximation; 2.3 The Relativistic Kinetic Theory Approach to Hydrodynamics; 2.4 The Static Conductivity Tensor; 2.5 Approximation Methods for the Relativistic Boltzmann Equation and Other Kinetic Equations 2.5.1 A simple Chapman-Enskog approximation2.6 Transport Coefficients for a System Embedded in aMagnetic Field; 3. Relativistic Plasmas; 3.1 Electromagnetic Quantities in Covariant Form; 3.2 The Static Conductivity Tensor; 3.3 Debye-H ̈uckel Law; 3.4 Derivation of the Plasma Modes; 3.4.1 Evaluation of the various integrals; 3.4.2 Collective modes in extreme cases; 3.5 Brief Discussion of the Plasma Modes; 3.6 The Conductivity Tensor; 3.7 Plasma-Beam Instability; 3.7.1 Perturbed dispersion relations for the plasma-beamsystem; 3.7.2 Stability of the beam-plasma system 4. Curved Space-Time and Cosmology4.1 Basic Modifications; 4.2 Thermal Equilibrium in a Gravitational Field; 4.2.1 Thermal equilibrium in a static isotropicmetric; 4.3 Einstein-Vlasov Equation; 4.3.1 Linearization of Einstein's equation; 4.3.2 The formal solution to the linearized Einstein equation; 4.3.3 The self-consistent kinetic equation for the gravitating gas; 4.4 An Illustration in Cosmology; 4.4.1 The two-timescale approximation; 4.4.2 Derivation of the dispersion relations (a rough outline); 4.5 Cosmology and Relativistic Kinetic Theory; 4.5.1 Cosmology: a very brief overview 4.5.2 Kinetic theory and cosmology4.5.3 Kinetic theory of the observed universe; 4.5.4 Statistical mechanics in the primeval universe; 4.5.5 Particle survival; 5. Relativistic Statistical Mechanics; 5.1 The Dynamical Problem; 5.2 Statement of the Main Statistical Problems; 5.2.1 The initial value problem: observations andmeasures; 5.2.2 Phase space and the Gibbs ensemble; 5.3 Many-Particle Distribution Functions; 5.3.1 Statistics of the particles' manifolds; 5.4 The Relativistic BBGKY Hierarchy; 5.4.1 Cluster decomposition of the relativistic distribution functions 5.5 Self-interaction and Radiation |
| Record Nr. | UNINA-9910789071203321 |
|
Hakim Rémi <1936->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to relativistic statistical mechanics : classical and quantum / / Rémi Hakim
| Introduction to relativistic statistical mechanics : classical and quantum / / Rémi Hakim |
| Autore | Hakim Rémi <1936-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (567 p.) |
| Disciplina | 530.13 |
| Soggetto topico |
Statistical mechanics
Relativistic quantum theory Relativistic kinematics |
| ISBN |
1-283-23472-6
9786613234728 981-4322-45-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Notations and Conventions; Introduction; 1. The One-Particle Relativistic Distribution Function; 1.1 The One-Particle Relativistic Distribution Function; 1.1.1 The phase space "volume element"; 1.2 The Juttner-Synge Equilibrium Distribution; 1.2.1 Thermodynamics of the Juttner-Synge gas; 1.2.2 Thermal velocity; 1.2.3 Moments of the Juttner-Synge function; 1.2.4 Orthogonal polynomials; 1.2.5 Zeromass particles; 1.3 From the Microcanonical Distribution to the Juttner-Synge One; 1.4 Equilibrium Fluctuations; 1.5 One-Particle Liouville Theorem
1.5.1 Relativistic Liouville equation from the Hamiltonian equations of motion1.5.2 Conditions for the Juttner-Synge functions to be an equilibrium; 1.6 The Relativistic Rotating Gas; 2. Relativistic Kinetic Theory and the BGK Equation; 2.1 Relativistic Hydrodynamics; 2.1.1 Sound velocity; 2.1.2 The Eckart approach; 2.1.3 The Landau-Lifschitz approach; 2.2 The Relaxation Time Approximation; 2.3 The Relativistic Kinetic Theory Approach to Hydrodynamics; 2.4 The Static Conductivity Tensor; 2.5 Approximation Methods for the Relativistic Boltzmann Equation and Other Kinetic Equations 2.5.1 A simple Chapman-Enskog approximation2.6 Transport Coefficients for a System Embedded in aMagnetic Field; 3. Relativistic Plasmas; 3.1 Electromagnetic Quantities in Covariant Form; 3.2 The Static Conductivity Tensor; 3.3 Debye-H ̈uckel Law; 3.4 Derivation of the Plasma Modes; 3.4.1 Evaluation of the various integrals; 3.4.2 Collective modes in extreme cases; 3.5 Brief Discussion of the Plasma Modes; 3.6 The Conductivity Tensor; 3.7 Plasma-Beam Instability; 3.7.1 Perturbed dispersion relations for the plasma-beamsystem; 3.7.2 Stability of the beam-plasma system 4. Curved Space-Time and Cosmology4.1 Basic Modifications; 4.2 Thermal Equilibrium in a Gravitational Field; 4.2.1 Thermal equilibrium in a static isotropicmetric; 4.3 Einstein-Vlasov Equation; 4.3.1 Linearization of Einstein's equation; 4.3.2 The formal solution to the linearized Einstein equation; 4.3.3 The self-consistent kinetic equation for the gravitating gas; 4.4 An Illustration in Cosmology; 4.4.1 The two-timescale approximation; 4.4.2 Derivation of the dispersion relations (a rough outline); 4.5 Cosmology and Relativistic Kinetic Theory; 4.5.1 Cosmology: a very brief overview 4.5.2 Kinetic theory and cosmology4.5.3 Kinetic theory of the observed universe; 4.5.4 Statistical mechanics in the primeval universe; 4.5.5 Particle survival; 5. Relativistic Statistical Mechanics; 5.1 The Dynamical Problem; 5.2 Statement of the Main Statistical Problems; 5.2.1 The initial value problem: observations andmeasures; 5.2.2 Phase space and the Gibbs ensemble; 5.3 Many-Particle Distribution Functions; 5.3.1 Statistics of the particles' manifolds; 5.4 The Relativistic BBGKY Hierarchy; 5.4.1 Cluster decomposition of the relativistic distribution functions 5.5 Self-interaction and Radiation |
| Record Nr. | UNINA-9910815613703321 |
|
Hakim Rémi <1936->
|
||
| Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Précis de mécanique quantique relativiste / par O. Costa de Beauregard
| Précis de mécanique quantique relativiste / par O. Costa de Beauregard |
| Autore | Costa de Beauregard, Olivier |
| Pubbl/distr/stampa | Paris : Dunod, 1967 |
| Descrizione fisica | xvi, 184 p. ; 17 cm |
| Collana | Monographies Dunod |
| Soggetto topico | Relativistic quantum theory |
| Classificazione |
53.3.3
53.3.11 530.12 QC174.1 AMS 81-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991001164159707536 |
|
Costa de Beauregard, Olivier
|
||
| Paris : Dunod, 1967 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
