Holdings: Concepts in thermal physics

Concepts in thermal physics:

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Bibliographic Details
Main Authors:	Blundell, Stephen 1967- (Author), Blundell, Katherine M. (Author)
Format:	Book
Language:	English
Published:	Oxford [u.a.] Oxford Univ. Press 2006
Edition:	1. publ.
Subjects:	Heat Statistical mechanics Thermodynamics Statistische Mechanik Thermodynamik Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	XVIII, 464 S. Ill., graph. Darst.
ISBN:	9780198567691 9780198567707 0198567693 0198567707

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adam_text	Contents I Preliminaries Introduction 2 1.1 What is a mole? 3 1.2 The thermodynamic limit 4 1.3 The ideal gas 6 1.4 Combinatorial problems 7 1.5 Plan of the book 9 Exercises 12 Heat 13 2.1 A definition of heat 13 2.2 Heat capacity 14 Exercises 17 Probability 18 3.1 Discrete probability distributions 19 3.2 Continuous probability distributions 20 3.3 Linear transformation 21 3.4 Variance 22 3.5 Linear transformation and the variance 23 3.6 Independent variables 24 Further reading 27 Exercises 27 Temperature and the Boltzmann factor 30 4.1 Thermal equilibrium 30 4.2 Thermometers 31 4.3 The microstates and macrostates 33 4.4 A statistical definition of temperature 34 4.5 Ensembles 36 4.6 Canonical ensemble 36 4.7 Applications of the Boltzmann distribution 40 Further reading 44 Exercises 44 II Kinetic theory of gases 45 5 The Maxwell—Boltzmann distribution 46 xii Contents 5.1 The velocity distribution 46 5.2 The speed distribution 47 5.2.1 (v) and (v2) 48 5.2.2 The mean kinetic energy of a gas molecule 48 5.2.3 The maximum of ƒ (v) 49 5.3 Experimental justification 49 Exercises 52 Pressure 54 6.1 Molecular distributions 55 6.1.1 Solid angles 55 6.1.2 The number of molecules travelling in a certain direction at a certain speed 55 6.1.3 The number of molecules hitting a wall 56 6.2 The ideal gas law 56 6.3 Dalton s law 58 Exercises 59 Molecular effusion 62 7.1 Flux 62 7.2 Effusion 64 Exercises 67 The mean free path and collisions 68 8.1 The mean collision time 68 8.2 The collision cross-section 69 8.3 The mean free path 71 Exercises 72 III Transport and thermal diffusion 73 9 Transport properties in gases 74 9.1 Viscosity 74 9.2 Thermal conductivity 79 9.3 Diffusion 81 9.4 More-detailed theory 84 Further reading 86 Exercises 87 10 The thermal diffusion equation 88 10.1 Derivation of the thermal diffusion equation 88 10.2 The one-dimensional thermal diffusion equation 89 10.3 The steady state 92 10.4 The thermal diffusion equation for a sphere 92 10.5 Newton s law of cooling 95 10.6 The Prandtl number 97 10.7 Sources of heat 98 Exercises 99 Contents xiii IV The first law 103 11 Energy 104 11.1 Some definitions 104 11.1.1 A system in thermal equilibrium 104 11.1.2 Functions of state 104 11.2 The first law of thermodynamics 106 11.3 Heat capacity 108 Exercises 111 12 Isothermal and adiabatic processes 114 12.1 Reversibility 114 12.2 Isothermal expansion of an ideal gas 116 12.3 Adiabatic expansion of an ideal gas 117 12.4 Adiabatic atmosphere 117 Exercises 119 V The second law 121 13 Heat engines and the second law 122 13.1 The second law of thermodynamics 122 13.2 The Carnot engine 123 13.3 Carnot s theorem 126 13.4 Equivalence of Clausius and Kelvin statements 127 13.5 Examples of heat engines 127 13.6 Heat engines running backwards 129 13.7 Clausius theorem 130 Further reading 133 Exercises 133 14 Entropy 136 14.1 Definition of entropy 136 14.2 Irreversible change 136 14.3 The first law revisited 138 14.4 The Joule expansion 140 14.5 The statistical basis for entropy 142 14.6 The entropy of mixing 143 14.7 Maxwell s demon 145 14.8 Entropy and probability 146 Exercises 149 15 Information theory 153 15.1 Information and Shannon entropy 153 15.2 Information and thermodynamics 155 15.3 Data compression 156 15.4 Quantum information 158 Further reading 161 Exercises 161 xiv Contents VI Thermodynamics in action 163 16 Thermodynamic potentials 164 16.1 Internal energy, U 164 16.2 Enthalpy, Я 165 16.3 Helmholtz function, F 166 16.4 Gibbs function, G. 167 16.5 Availability 168 16.6 Maxwell s relations 170 Exercises 178 17 Rods, bubbles and magnets 182 17.1 Elastic rod 182 17.2 Surface tension 185 17.3 Paramagnetism 186 Exercises 192 18 The third law 193 18.1 Different statements of the third law 193 18.2 Consequences of the third law 195 Exercises 198 VII Statistical mechanics 199 19 Equipartition of energy 200 19.1 Equipartition theorem 200 19.2 Applications 203 19.2.1 Translational motion in a monatomic gas 203 19.2.2 Rotational motion in a diatomic gas 203 19.2.3 Vibrational motion in a diatomic gas 204 19.2.4 The heat capacity of a solid 205 19.3 Assumptions made 205 19.4 Brownian motion 207 Exercises 208 20 The partition function 209 20.1 Writing down the partition function 210 20.2 Obtaining the functions of state 211 20.3 The big idea 218 20.4 Combining partition functions 218 Exercises 219 21 Statistical mechanics of an ideal gas 221 21.1 Density of states 221 21.2 Quantum concentration 223 21.3 Distinguishability 224 21.4 Functions of state of the ideal gas 225 21.5 Gibbs paradox 228 Contents xv 21.6 Heat capacity of a diatomic gas 229 Exercises 230 22 The chemical potential 232 22.1 A definition of the chemical potential 232 22.2 The meaning of the chemical potential 233 22.3 Grand partition function 235 22.4 Grand potential 236 22.5 Chemical potential as Gibbs function per particle 238 22.6 Many types of particle 238 22.7 Particle number conservation laws 239 22.8 Chemical potential and chemical reactions 240 Further reading 245 Exercises 246 23 Photons 247 23.1 The classical thermodynamics of electromagnetic radiation 248 23.2 Spectral energy density 249 23.3 Kirchhoff s law 250 23.4 Radiation pressure 252 23.5 The statistical mechanics of the photon gas 253 23.6 Black body distribution 254 23.7 Cosmic Microwave Background radiation 257 23.8 The Einstein A and В coefficients 258 Further reading 261 Exercises 262 24 Phonons 263 24.1 The Einstein model 263 24.2 The Debye model 265 24.3 Phonon dispersion 268 Further reading 271 Exercises 271 VIII Beyond the ideal gas 273 25 Relativistic gases 274 25.1 Relativistic dispersion relation for massive particles 274 25.2 The ultrarelativistic gas 274 25.3 Adiabatic expansion of an ultrarelativistic gas 277 Exercises 279 26 Real gases 280 26.1 The van der Waals gas 280 26.2 The Dieterici equation 288 26.3 Virial expansion 290 26.4 The law of corresponding states 294 Exercises 296 xvi Contents 27 Cooling real gases 297 27.1 The Joule expansion 297 27.2 Isothermal expansion 299 27.3 Joule-Kelvin expansion 300 27.4 Liquefaction of gases 302 Exercises 304 28 Phase transitions 305 28.1 Latent heat 305 28.2 Chemical potential and phase changes 308 28.3 The Clausius-Clapeyron equation 308 28.4 Stability & metastability 313 28.5 The Gibbs phase rule 316 28.6 Colligative properties 318 28.7 Classification of phase transitions 320 Further reading 323 Exercises 323 29 Base-Einstein and Fermi-Dirac distributions 325 29.1 Exchange and symmetry 325 29.2 Wave functions of identical particles 326 29.3 The statistics of identical particles 329 Further reading 332 Exercises 332 30 Quantum gases and condensates 337 30.1 The non-interacting quantum fluid 337 30.2 The Fermi gas 340 30.3 The Bose gas 345 30.4 Bose-Einstein condensation (ВЕС) 346 Further reading 351 Exercises 352 IX Special topics 353 31 Sound waves 354 31.1 Sound waves under isothermal conditions 355 31.2 Sound waves under adiabatic conditions 355 31.3 Are sound waves in general adiabatic or isothermal? 356 31.4 Derivation of the speed of sound within fluids 357 Further reading 360 Exercises 360 32 Shock waves 361 32.1 The Mach number 361 32.2 Structure of shock waves 361 32.3 Shock conservation laws 363 32.4 The Rankine-Hugoniot conditions 364 Contents xvii Further reading 367 Exercises 367 33 Brownian motion and fluctuations 368 33.1 Brownian motion 368 33.2 Johnson noise 371 33.3 Fluctuations 372 33.4 Fluctuations and the availability 373 33.5 Linear response 375 33.6 Correlation functions 378 Further reading 385 Exercises 385 34 Non- equilibrium thermodynamics 386 34.1 Entropy production 386 34.2 The kinetic coefficients 387 34.3 Proof of the Onsager reciprocal relations 388 34.4 Thermoelectricity 391 34.5 Time reversal and the arrow of time 395 Further reading 397 Exercises 397 35 Stars 398 35.1 Gravitational interaction 399 35.1.1 Gravitational collapse and the Jeans criterion 399 35.1.2 Hydrostatic equilibrium 401 35.1.3 The virial theorem 402 35.2 Nuclear reactions 404 35.3 Heat transfer 405 35.3.1 Heat transfer by photon diffusion 405 35.3.2 Heat transfer by convection 407 35.3.3 Scaling relations 408 Further reading 412 Exercises 412 36 Compact objects 413 36.1 Electron degeneracy pressure 413 36.2 White dwarfs 415 36.3 Neutron stars 416 36.4 Black holes 418 36.5 Accretion 419 36.6 Black holes and entropy 420 36.7 Life, the Universe and Entropy 421 Further reading 423 Exercises 423 37 Earth s atmosphere 424 37.1 Solar energy 424 37.2 The temperature profile in the atmosphere 425 xviii Contents 37.3 The greenhouse effect 427 Further reading 432 Exercises 432 A Fundamental constants 433 В Useful formulae 434 С Useful mathematics 436 C.I The factorial integral 436 C.2 The Gaussian integral 436 C.3 Stirling s formula 439 C.4 Riemann zeta function 441 C.5 The polylogarithm 442 C.6 Partial derivatives 443 С 7 Exact differentials 444 C.8 Volume of a hypersphere 445 C.9 Jacobians 445 CIO The Dirac delta function 447 C.ll Fourier transforms 447 C.I 2 Solution of the diffusion equation 448 C.13 Lagrange multipliers 449 D The electromagnetic spectrum 451 E Some thermodynamical definitions 452 F Thermodynamic expansion formulae 453 G Reduced mass 454 H Glossary of main symbols 455 I Bibliography 457 Index 460
adam_txt	Contents I Preliminaries Introduction 2 1.1 What is a mole? 3 1.2 The thermodynamic limit 4 1.3 The ideal gas 6 1.4 Combinatorial problems 7 1.5 Plan of the book 9 Exercises 12 Heat 13 2.1 A definition of heat 13 2.2 Heat capacity 14 Exercises 17 Probability 18 3.1 Discrete probability distributions 19 3.2 Continuous probability distributions 20 3.3 Linear transformation 21 3.4 Variance 22 3.5 Linear transformation and the variance 23 3.6 Independent variables 24 Further reading 27 Exercises 27 Temperature and the Boltzmann factor 30 4.1 Thermal equilibrium 30 4.2 Thermometers 31 4.3 The microstates and macrostates 33 4.4 A statistical definition of temperature 34 4.5 Ensembles 36 4.6 Canonical ensemble 36 4.7 Applications of the Boltzmann distribution 40 Further reading 44 Exercises 44 II Kinetic theory of gases 45 5 The Maxwell—Boltzmann distribution 46 xii Contents 5.1 The velocity distribution 46 5.2 The speed distribution 47 5.2.1 (v) and (v2) 48 5.2.2 The mean kinetic energy of a gas molecule 48 5.2.3 The maximum of ƒ (v) 49 5.3 Experimental justification 49 Exercises 52 Pressure 54 6.1 Molecular distributions 55 6.1.1 Solid angles 55 6.1.2 The number of molecules travelling in a certain direction at a certain speed 55 6.1.3 The number of molecules hitting a wall 56 6.2 The ideal gas law 56 6.3 Dalton's law 58 Exercises 59 Molecular effusion 62 7.1 Flux 62 7.2 Effusion 64 Exercises 67 The mean free path and collisions 68 8.1 The mean collision time 68 8.2 The collision cross-section 69 8.3 The mean free path 71 Exercises 72 III Transport and thermal diffusion 73 9 Transport properties in gases 74 9.1 Viscosity 74 9.2 Thermal conductivity 79 9.3 Diffusion 81 9.4 More-detailed theory 84 Further reading 86 Exercises 87 10 The thermal diffusion equation 88 10.1 Derivation of the thermal diffusion equation 88 10.2 The one-dimensional thermal diffusion equation 89 10.3 The steady state 92 10.4 The thermal diffusion equation for a sphere 92 10.5 Newton's law of cooling 95 10.6 The Prandtl number 97 10.7 Sources of heat 98 Exercises 99 Contents xiii IV The first law 103 11 Energy 104 11.1 Some definitions 104 11.1.1 A system in thermal equilibrium 104 11.1.2 Functions of state 104 11.2 The first law of thermodynamics 106 11.3 Heat capacity 108 Exercises 111 12 Isothermal and adiabatic processes 114 12.1 Reversibility 114 12.2 Isothermal expansion of an ideal gas 116 12.3 Adiabatic expansion of an ideal gas 117 12.4 Adiabatic atmosphere 117 Exercises 119 V The second law 121 13 Heat engines and the second law 122 13.1 The second law of thermodynamics 122 13.2 The Carnot engine 123 13.3 Carnot's theorem 126 13.4 Equivalence of Clausius and Kelvin statements 127 13.5 Examples of heat engines 127 13.6 Heat engines running backwards 129 13.7 Clausius' theorem 130 Further reading 133 Exercises 133 14 Entropy 136 14.1 Definition of entropy 136 14.2 Irreversible change 136 14.3 The first law revisited 138 14.4 The Joule expansion 140 14.5 The statistical basis for entropy 142 14.6 The entropy of mixing 143 14.7 Maxwell's demon 145 14.8 Entropy and probability 146 Exercises 149 15 Information theory 153 15.1 Information and Shannon entropy 153 15.2 Information and thermodynamics 155 15.3 Data compression 156 15.4 Quantum information 158 Further reading 161 Exercises 161 xiv Contents VI Thermodynamics in action 163 16 Thermodynamic potentials 164 16.1 Internal energy, U 164 16.2 Enthalpy, Я 165 16.3 Helmholtz function, F 166 16.4 Gibbs function, G. 167 16.5 Availability 168 16.6 Maxwell's relations 170 Exercises 178 17 Rods, bubbles and magnets 182 17.1 Elastic rod 182 17.2 Surface tension 185 17.3 Paramagnetism 186 Exercises 192 18 The third law 193 18.1 Different statements of the third law 193 18.2 Consequences of the third law 195 Exercises 198 VII Statistical mechanics 199 19 Equipartition of energy 200 19.1 Equipartition theorem 200 19.2 Applications 203 19.2.1 Translational motion in a monatomic gas 203 19.2.2 Rotational motion in a diatomic gas 203 19.2.3 Vibrational motion in a diatomic gas 204 19.2.4 The heat capacity of a solid 205 19.3 Assumptions made 205 19.4 Brownian motion 207 Exercises 208 20 The partition function 209 20.1 Writing down the partition function 210 20.2 Obtaining the functions of state 211 20.3 The big idea 218 20.4 Combining partition functions 218 Exercises 219 21 Statistical mechanics of an ideal gas 221 21.1 Density of states 221 21.2 Quantum concentration 223 21.3 Distinguishability 224 21.4 Functions of state of the ideal gas 225 21.5 Gibbs paradox 228 Contents xv 21.6 Heat capacity of a diatomic gas 229 Exercises 230 22 The chemical potential 232 22.1 A definition of the chemical potential 232 22.2 The meaning of the chemical potential 233 22.3 Grand partition function 235 22.4 Grand potential 236 22.5 Chemical potential as Gibbs function per particle 238 22.6 Many types of particle 238 22.7 Particle number conservation laws 239 22.8 Chemical potential and chemical reactions 240 Further reading 245 Exercises 246 23 Photons 247 23.1 The classical thermodynamics of electromagnetic radiation 248 23.2 Spectral energy density 249 23.3 Kirchhoff's law 250 23.4 Radiation pressure 252 23.5 The statistical mechanics of the photon gas 253 23.6 Black body distribution 254 23.7 Cosmic Microwave Background radiation 257 23.8 The Einstein A and В coefficients 258 Further reading 261 Exercises 262 24 Phonons 263 24.1 The Einstein model 263 24.2 The Debye model 265 24.3 Phonon dispersion 268 Further reading 271 Exercises 271 VIII Beyond the ideal gas 273 25 Relativistic gases 274 25.1 Relativistic dispersion relation for massive particles 274 25.2 The ultrarelativistic gas 274 25.3 Adiabatic expansion of an ultrarelativistic gas 277 Exercises 279 26 Real gases 280 26.1 The van der Waals gas 280 26.2 The Dieterici equation 288 26.3 Virial expansion 290 26.4 The law of corresponding states 294 Exercises 296 xvi Contents 27 Cooling real gases 297 27.1 The Joule expansion 297 27.2 Isothermal expansion 299 27.3 Joule-Kelvin expansion 300 27.4 Liquefaction of gases 302 Exercises 304 28 Phase transitions 305 28.1 Latent heat 305 28.2 Chemical potential and phase changes 308 28.3 The Clausius-Clapeyron equation 308 28.4 Stability & metastability 313 28.5 The Gibbs phase rule 316 28.6 Colligative properties 318 28.7 Classification of phase transitions 320 Further reading 323 Exercises 323 29 Base-Einstein and Fermi-Dirac distributions 325 29.1 Exchange and symmetry 325 29.2 Wave functions of identical particles 326 29.3 The statistics of identical particles 329 Further reading 332 Exercises 332 30 Quantum gases and condensates 337 30.1 The non-interacting quantum fluid 337 30.2 The Fermi gas 340 30.3 The Bose gas 345 30.4 Bose-Einstein condensation (ВЕС) 346 Further reading 351 Exercises 352 IX Special topics 353 31 Sound waves 354 31.1 Sound waves under isothermal conditions 355 31.2 Sound waves under adiabatic conditions 355 31.3 Are sound waves in general adiabatic or isothermal? 356 31.4 Derivation of the speed of sound within fluids 357 Further reading 360 Exercises 360 32 Shock waves 361 32.1 The Mach number 361 32.2 Structure of shock waves 361 32.3 Shock conservation laws 363 32.4 The Rankine-Hugoniot conditions 364 Contents xvii Further reading 367 Exercises 367 33 Brownian motion and fluctuations 368 33.1 Brownian motion 368 33.2 Johnson noise 371 33.3 Fluctuations 372 33.4 Fluctuations and the availability 373 33.5 Linear response 375 33.6 Correlation functions 378 Further reading 385 Exercises 385 34 Non- equilibrium thermodynamics 386 34.1 Entropy production 386 34.2 The kinetic coefficients 387 34.3 Proof of the Onsager reciprocal relations 388 34.4 Thermoelectricity 391 34.5 Time reversal and the arrow of time 395 Further reading 397 Exercises 397 35 Stars 398 35.1 Gravitational interaction 399 35.1.1 Gravitational collapse and the Jeans criterion 399 35.1.2 Hydrostatic equilibrium 401 35.1.3 The virial theorem 402 35.2 Nuclear reactions 404 35.3 Heat transfer 405 35.3.1 Heat transfer by photon diffusion 405 35.3.2 Heat transfer by convection 407 35.3.3 Scaling relations 408 Further reading 412 Exercises 412 36 Compact objects 413 36.1 Electron degeneracy pressure 413 36.2 White dwarfs 415 36.3 Neutron stars 416 36.4 Black holes 418 36.5 Accretion 419 36.6 Black holes and entropy 420 36.7 Life, the Universe and Entropy 421 Further reading 423 Exercises 423 37 Earth's atmosphere 424 37.1 Solar energy 424 37.2 The temperature profile in the atmosphere 425 xviii Contents 37.3 The greenhouse effect 427 Further reading 432 Exercises 432 A Fundamental constants 433 В Useful formulae 434 С Useful mathematics 436 C.I The factorial integral 436 C.2 The Gaussian integral 436 C.3 Stirling's formula 439 C.4 Riemann zeta function 441 C.5 The polylogarithm 442 C.6 Partial derivatives 443 С 7 Exact differentials 444 C.8 Volume of a hypersphere 445 C.9 Jacobians 445 CIO The Dirac delta function 447 C.ll Fourier transforms 447 C.I 2 Solution of the diffusion equation 448 C.13 Lagrange multipliers 449 D The electromagnetic spectrum 451 E Some thermodynamical definitions 452 F Thermodynamic expansion formulae 453 G Reduced mass 454 H Glossary of main symbols 455 I Bibliography 457 Index 460
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isbn	9780198567691 9780198567707 0198567693 0198567707
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-014886705
oclc_num	67869269
open_access_boolean
owner	DE-703 DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-634 DE-11
owner_facet	DE-703 DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-634 DE-11
physical	XVIII, 464 S. Ill., graph. Darst.
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Oxford Univ. Press
record_format	marc
spelling	Blundell, Stephen 1967- Verfasser (DE-588)132321440 aut Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell 1. publ. Oxford [u.a.] Oxford Univ. Press 2006 XVIII, 464 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Heat Statistical mechanics Thermodynamics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Thermodynamik (DE-588)4059827-5 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Blundell, Katherine M. Verfasser (DE-588)1065695233 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014886705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Blundell, Stephen 1967- Blundell, Katherine M. Concepts in thermal physics Heat Statistical mechanics Thermodynamics Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd
subject_GND	(DE-588)4056999-8 (DE-588)4059827-5 (DE-588)4123623-3
title	Concepts in thermal physics
title_auth	Concepts in thermal physics
title_exact_search	Concepts in thermal physics
title_exact_search_txtP	Concepts in thermal physics
title_full	Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell
title_fullStr	Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell
title_full_unstemmed	Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell
title_short	Concepts in thermal physics
title_sort	concepts in thermal physics
topic	Heat Statistical mechanics Thermodynamics Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd
topic_facet	Heat Statistical mechanics Thermodynamics Statistische Mechanik Thermodynamik Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014886705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT blundellstephen conceptsinthermalphysics AT blundellkatherinem conceptsinthermalphysics

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