Theoretical astrophysics: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2013
|
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XX, 320 S. Ill., graph. Darst. |
| ISBN: | 352741004X 9783527410040 |
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| 245 | 1 | 0 | |a Theoretical astrophysics |b an introduction |c Matthias Bartelmann |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2013 | |
| 300 | |a XX, 320 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1807953483167432704 |
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| adam_text |
IMAGE 1
CONTENTS
PREFACE X I
ACKNOWLEDGEMENTS X V
COLOUR PLATES X V I I
1 THEORETICAL FOUNDATIONS 1
1.1 UNITS 1
1.1.1 LENGTHS, MASSES, TIMES, AND TEMPERATURES 1 1.1.2 CHARGES AND
ELECTROMAGNETIC FIELDS 1 1.1.3 NATURAL CONSTANTS 2
1.2 LORENTZ INVARIANCE 2
1.2.1 THE SPECIAL LORENTZ TRANSFORM 4 1.2.2 MINKOWSKI SPACE 6 1.2.3 SOME
PROPERTIES OF THE MINKOWSKI WORLD 9 1.2.4 RELATIVISTIC DYNAMICS 12 1.3
ELECTROMAGNETISM 16
1.3.1 FIELD TENSOR AND SOURCES 16 1.3.2 LORENTZ TRANSFORM O F THE
ELECTROMAGNETIC FIELD 18 1.3.3 MAXWELL'S EQUATIONS 19 1.3.4
ENERGY-MOMENTUM CONSERVATION 21
1.3.5 LIENARD-WIECHERT POTENTIALS AND THE LARMOR FORMULA 22 1.3.6 THE
LORENTZ FORCE 26
1.4 ELEMENTARY KINETIC THEORY 28 1.4.1 THE BBGKY HIERARCHY AND THE
BOLTZMANN EQUATION 28 1.4.2 COLLISION TERMS 31 1.4.3 DIFFUSION IN
PHASE-SPACE: THE FOKKER-PLANCK APPROXIMATION 1.4.4 DIFFUSION IN ABSOLUTE
MOMENTUM 34 1.4.5 CALCULATION OF THE DIFFUSION COEFFICIENT D2 35
FURTHER READING 37
2 RADIATION PROCESSES 39 2.1 THOMSON SCATTERING 39
2.2 SPECTRA 45
2.3 SYNCHROTRON RADIATION 50
HTTP://D-NB.INFO/1022181165
IMAGE 2
VI | CONTENTS
2.3.1 LARMOR FREQUENCY AND RELATIVISTIC FOCUSSING 51
2.3.2 SYNCHROTRON POWER 53 2.3.3 SYNCHROTRON SPECTRUM 53 2.4
BREMSSTRAHLUNG 58
2.4.1 ORBIT O F AN ELECTRON SCATTERING OFF AN ION 58 2.4.2 FOURIER
TRANSFORM O F THE ORBIT 61 2.4.3 INTEGRATION OVER IMPACT PARAMETERS 62
2.4.4 AVERAGE OVER ELECTRON VELOCITIES, THERMAL BREMSSTRAHLUNG 63
2.5 RADIATION DAMPING 65
2.5.1 DAMPING FORCE 65
2.5.2 TRANSFER O F ENERGY FROM A MOVING CHARGE TO A RADIATION FIELD 69
2.6 COMPTON SCATTERING 72
2.6.1 ENERGY CHANGE IN THE SCATTERING PROCESS 72 2.6.2 NET ENERGY
TRANSFER 74 2.6.3 THE KOMPANEETS EQUATION 77 2.7 RADIATIVE QUANTUM
TRANSITIONS 83 2.7.1 TRANSITION PROBABILITY 83
2.7.2 PERTURBING HAMILTONIAN 84 2.7.3 DECOMPOSITION O F THE
ELECTROMAGNETIC FIELD 87 2.7.4 DIPOLE APPROXIMATION 88 2.7.5 CROSS
SECTIONS 90
2.7.6 PHOTOIONISATION CROSS SECTION 92 2.8 SHAPES O F SPECTRAL LINES 94
2.8.1 NATURAL LINE WIDTH 95 2.8.2 COLLISIONAL BROADENING 97 2.8.3
DOPPLER BROADENING O F SPECTRAL LINES 98 2.8.4 THE VOIGT PROFILE 99
2.8.5 EQUIVALENT WIDTHS AND CURVES-OF-GROWTH 100 2.9 RADIATION
QUANTITIES 103
2.9.1 SPECIFIC INTENSITY 104 2.9.2 MOMENTS OF THE INTENSITY 105 2.9.3
RELATIVISTIC INVARIANCE O F IA,/CU 3 107 2.10 THE PLANCK SPECTRUM AND
EINSTEIN COEFFICIENTS 109
2.10.1 THE PLANCK SPECTRUM 110 2.10.2 TRANSITION BALANCE AND THE
EINSTEIN COEFFICIENTS 115 2.11 ABSORPTION AND EMISSION 117 2.11.1
ABSORPTION COEFFICIENTS AND EMISSIVITY 117
2.11.2 RADIATION TRANSPORT IN A SIMPLE CASE 119 2.11.3 EMISSION AND
ABSORPTION IN THE CONTINUUM CASE 121 2.11.4 ENERGY TRANSPORT THROUGH
ABSORBING MEDIA 124 FURTHER READING 126
3 HYDRODYNAMICS 127 3.1 THE EQUATIONS O F IDEAL HYDRODYNAMICS 127 3.1.1
PARTICLE-CURRENT DENSITY AND ENERGY-MOMENTUM TENSOR 127
IMAGE 3
CONTENTS I VII
3.1.2 COLLISIONAL INVARIANTS AND THE FLUID APPROXIMATION 130 3.1.3 THE
EQUATIONS O F IDEAL HYDRODYNAMICS 134 3.2 RELATIVISTIC HYDRODYNAMICS 139
3.2.1 HYDRODYNAMIC EQUATIONS 139 3.2.2 HYDRODYNAMICS IN A WEAK
GRAVITATIONAL FIELD 142 3.2.3 GRAVITATIONAL FIELD EQUATION 143 3.2.4 THE
COMBINED SET OF EQUATIONS 144 3.2.5 PERTURBATIVE ANALYSIS 145 3.3
VISCOUS HYDRODYNAMICS 148 3.3.1 DIFFUSION O F PARTICLES, MOMENTUM AND
INTERNAL ENERGY 148 3.3.2 THE EQUATIONS O F VISCOUS HYDRODYNAMICS 152
3.3.3 ENTROPY 154
3.3.4 FLUIDS IN A GRAVITATIONAL FIELD 155 3.3.5 THE TENSOR VIRIAL
THEOREM 157 3.3.6 TRANSFORMATION TO CYLINDRICAL OR SPHERICAL COORDINATES
160 3.4 FLOWS UNDER SPECIFIC CIRCUMSTANCES 162 3.4.1 SOUNDWAVES 163
3.4.2 POLYTROPIC EQUATION O F STATE 164 3.4.3 HYDROSTATIC EQUILIBRIUM
167 3.4.4 VORTICITY AND KELVIN'S CIRCULATION THEOREM 170 3.4.5
BERNOULLI'S CONSTANT 172 3.4.6 BONDI ACCRETION 175 3.4.7 BERNOULLI'S LAW
FOR IRROTATIONAL, NON-STATIONARY FLOWS 178 3.4.8 DIFFUSION O F VORTICITY
179 3.4.9 THE REYNOLDS NUMBER 179 3.4.10 HAGEN-POISEULLE FLOW 180 3.5
SHOCKWAVES 183
3.5.1 THE METHOD O F CHARACTERISTICS 183 3.5.2 STEEPENING O F SOUND
WAVES 186 3.5.3 THE RANKINE-HUGONIOT SHOCK JUMP CONDITIONS 187 3.5.4
SHOCK VELOCITY 191 3.5.5 THE SEDOV SOLUTION 192 3.6 INSTABILITIES 295
3.6.1 GRAVITY WAVES 197 3.6.2 THE RAYLEIGH-TAYLOR INSTABILITY 198 3.6.3
THE KELVIN-HELMHOLTZ INSTABILITY 199 3.6.4 THERMAL INSTABILITY . 202
3.6.5 HEAT CONDUCTION 206 3.6.6 CONVECTION 209 3.6.7 TURBULENCE 210
FURTHER READING 213
4 FUNDAMENTALS O F PLASMA PHYSICS AND MAGNETO-HYDRODYNAMICS 215 4.1
COLLISION-LESS PLASMAS 215 4.1.1 SHIELDING AND THE DEBYE LENGTH 215
IMAGE 4
4.1.2 THE PLASMA FREQUENCY 219
4.2 ELECTROMAGNETIC WAVES IN MEDIA 219 4.2.1 POLARISATION AND DIELECTRIC
DISPLACEMENT 220 4.2.2 STRUCTURE O F THE DIELECTRIC TENSOR 222 4.3
DISPERSION RELATIONS 225
4.3.1 GENERAL FORM OF THE DISPERSION RELATIONS 225 4.3.2 TRANSVERSAL AND
LONGITUDINAL WAVES 227 4.3.3 LONGITUDINAL AND TRANSVERSAL
DIELECTRICITIES 227
4.3.4 LANDAU DAMPING 230 4.4 ELECTROMAGNETIC WAVES IN THERMAL PLASMAS
232 4.4.1 LONGITUDINAL AND TRANSVERSAL DIELECTRICITIES 233 4.4.2
DISPERSION MEASURE AND DAMPING 236 4.5 THE MAGNETO-HYDRODYNAMIC
EQUATIONS 238
4.5.1 ASSUMPTIONS 238
4.5.2 THE INDUCTION EQUATION 240 4.5.3 EULER'S EQUATION 241 4.5.4 ENERGY
AND ENTROPY 243 4.5.5 INCOMPRESSIBLE FLOWS 245
4.5.6 MAGNETIC ADVECTION AND DIFFUSION 245 4.6 GENERATION O F MAGNETIC
FIELDS 246 4.7 AMBIPOLAR DIFFUSION 249
4.7.1 VELOCITY-AVERAGED SCATTERING CROSS SECTION 250 4.7.2 FRICTION
FORCE AND DIFFUSION COEFFICIENT 252 4.8 ' WAVES IN MAGNETISED COLD
PLASMAS 254 4.8.1 THE DIELECTRIC TENSOR 254 4.8.2 CONTRIBUTION BY IONS
257
4.8.3 DISPERSION RELATIONS IN A COLD, MAGNETISED PLASMA 259 4.8.4
LONGITUDINAL AND TRANSVERSE WAVES 261 4.8.5 FARADAY ROTATION 263 4.9
HYDROMAGNETIC WAVES 266 4.9.1 LINEARISED PERTURBATION EQUATIONS 266
4.9.2 ALFVEN WAVES 269
4.9.3 SLOW AND FAST HYDRO-MAGNETIC WAVES 270 FURTHER READING 272
5 STELLAR DYNAMICS 273 5.1 THE JEANS EQUATIONS AND JEANS' THEOREM 273
5.1.1 COLLISION-LESS MOTION IN A GRAVITATIONAL FIELD 273 5.1.2 THE
RELAXATION TIME SCALE 275
5.1.3 THE JEANS EQUATIONS 277 5.1.4 JEANS EQUATIONS IN CYLINDRICAL AND
SPHERICAL COORDINATES 5.1.5 APPLICATION TO SPHERICAL SYSTEMS 281 5.1.6
THE TENSOR VIRIAL THEOREM IN STELLAR DYNAMICS 286
5.1.7 JEANS' THEOREM 288
5.2 EQUILIBRIUM AND STABILITY 290
IMAGE 5
5.2.1 THE ISOTHERMAL SPHERE 290
5.2.2 EQUILIBRIUM AND RELAXATION 294 5.2.3 LINEAR ANALYSIS AND THE JEANS
SWINDLE 295 5.2.4 JEANS LENGTH AND JEANS MASS 297 5.2.5 DISK POTENTIALS
298 5.2.6 FLUID EQUATIONS FOR TWO-DIMENSIONAL SYSTEMS 5.2.7 DISPERSION
RELATION 302
5.2.8 TOOMRE'S CRITERION 304 5.3 DYNAMICAL FRICTION 305
5.3.1 DEFLECTION O F POINT MASSES 306 5.3.2 VELOCITY CHANGES 308 5.3.3
CHANDRASEKHAR'S FORMULA 308 FURTHER READING 312
6 BRIEF SUMMARY AND CONCLUDING REMARKS 313
INDEX 315 |
| any_adam_object | 1 |
| author | Bartelmann, Matthias 1965- |
| author_GND | (DE-588)141554185 |
| author_facet | Bartelmann, Matthias 1965- |
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| dewey-full | 523.01 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 523 - Specific celestial bodies and phenomena |
| dewey-raw | 523.01 |
| dewey-search | 523.01 |
| dewey-sort | 3523.01 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik Geographie |
| format | Book |
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| id | DE-604.BV040383116 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:06:40Z |
| institution | BVB |
| isbn | 352741004X 9783527410040 |
| language | English |
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| physical | XX, 320 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Wiley-VCH |
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| series2 | Physics textbook |
| spelling | Bartelmann, Matthias 1965- Verfasser (DE-588)141554185 aut Theoretical astrophysics an introduction Matthias Bartelmann Weinheim Wiley-VCH 2013 XX, 320 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Astrophysik (DE-588)4003326-0 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Astrophysik (DE-588)4003326-0 s Theoretische Physik (DE-588)4117202-4 s DE-604 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-66977-6 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-66976-9 Erscheint auch als Online-Ausgabe, PDF 978-3-527-66978-3 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4033930&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025236599&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bartelmann, Matthias 1965- Theoretical astrophysics an introduction Astrophysik (DE-588)4003326-0 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| subject_GND | (DE-588)4003326-0 (DE-588)4117202-4 (DE-588)4123623-3 |
| title | Theoretical astrophysics an introduction |
| title_auth | Theoretical astrophysics an introduction |
| title_exact_search | Theoretical astrophysics an introduction |
| title_full | Theoretical astrophysics an introduction Matthias Bartelmann |
| title_fullStr | Theoretical astrophysics an introduction Matthias Bartelmann |
| title_full_unstemmed | Theoretical astrophysics an introduction Matthias Bartelmann |
| title_short | Theoretical astrophysics |
| title_sort | theoretical astrophysics an introduction |
| title_sub | an introduction |
| topic | Astrophysik (DE-588)4003326-0 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| topic_facet | Astrophysik Theoretische Physik Lehrbuch |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4033930&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025236599&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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