Modern thermodynamics with statistical mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 402 S. graph. Darst. |
| ISBN: | 9783540854173 9783540854180 |
Internformat
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| 245 | 1 | 0 | |a Modern thermodynamics with statistical mechanics |c Carl S. Helrich |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a XIII, 402 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | CONTENTS 1 BEGINNINGS 1 1 . 1 INTRODUCTION 1 1.2 HEAT AND MOTION 2 1.3
THE LAWS 4 1.3.1 FIRST LAW 4 1.3.2 SECOND LAW 7 1.4 MODERN DIRECTIONS 9
1.5 SUMMARY 10 EXERCISES 10 2 FORMULATION 13 2.1 INTRODUCTION 13 2.2
SYSTEMS AND PROPERTIES 13 2.2.1 SYSTEMS 13 2.2.2 BOUNDARIES 14 2.2.3
PROPERTIES AND STATES 15 2.2.4 SURFACES AND STATES 15 2.2.5 QUASISTATIC
PROCESSES 16 2.2.6 PROPERTIES AND PROCESSES 16 2.3 PROPERTIES AND THE
LAWS 17 2.3.1 TEMPERATURE 18 2.3.2 INTERNAL ENERGY 19 2.3.3 ENTROPY 24
2.4 COMBINING THE LAWS 29 2.5 SUMMARY 30 EXERCISES 31 3 MATHEMATICAL
BACKGROUND 41 3.1 INTRODUCTION 41 3.2 EXACT DIFFERENTIALS 42 3.3
INTEGRATION 44 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/990121011
DIGITALISIERT DURCH VIJI CONTENTS 3.4 DIFFERENTIAL RELATIONSHIPS 46 3.5
VARIABLE TRANSFORMATIONS 47 3.5.1 FROM POINTS TO TANGENT LINES 47 3.5.2
SURFACES AND CONTOURS 49 3.5.3 GENERAL LEGENDRE TRANSFORMATION 51 3.6
SUMMARY 52 EXERCISES 52 4 THERMODYNAMIC POTENTIALS 55 4.1 INTRODUCTION
55 4.2 THE FUNDAMENTAL SURFACE 55 4.3 THE FOUR POTENTIALS 56 4.3.1
INTERNAL ENERGY 56 4.3.2 TRANSFORMATIONS 60 4.3.3 THE HELMHOLTZ ENERGY
60 4.3.4 THE ENTHALPY 63 4.3.5 GIBBS ENERGY 66 4.4 RELATIONS AMONG
POTENTIALS 68 4.5 MAXWELL RELATIONS 69 4.6 INTENSIVE AND EXTENSIVE
VARIABLES 71 4.7 VARIABLE COMPOSITION 72 4.7.1 SINGLE COMPONENTS 72
4.7.2 MIXING 75 4.7.3 GIBBS-DUHEM EQUATION 79 4.8 THE GIBBS FORMULATION
80 4.9 SUMMARY 81 EXERCISES 82 5 STRUCTURE OF THE POTENTIALS 85 5.1
INTRODUCTION 85 5.1.1 GENERAL CURVATURE RELATIONSHIPS 85 5.2
GIBBS-HELMHOLTZ EQUATIONS 86 5.3 CURVATURES OF THE FUNDAMENTAL SURFACE
89 5.3.1 CALORIC PROPERTIES AND CURVATURES 89 5.3.2 MECHANICAL
PROPERTIES AND CURVATURES 90 5.3.3 CURVATURES OF THE POTENTIALS 91 5.3.4
FROM CURVATURES TO POTENTIALS 92 5.4 MECHANICAL AND CALORIC CONSISTENCY
94 5.5 SUMMARY 94 EXERCISES 95 6 LABORATORY MEASUREMENTS 97 6. CONTENTS
6.2.2 FIXED POINTS 98 6.2.3 THERMOMETERS 100 6.3 PRESSURE 100 6.3.1
ELECTRONIC PRESSURE MEASUREMENT 100 6.3.2 RESONANT PRESSURE SENSORS 102
6.3.3 PISTON GAUGES 102 6.3.4 LOW PRESSURE 103 6.4 DENSITY 104 6.4.1
MAGNETIC SUSPENSION 104 6.4.2 TWO-SINKER DENSIMETER 105 6.4.3
SINGLE-SINKER DENSIMETER 105 6.4.4 VIBRATING BODIES 106 6.5 SPEED OF
SOUND 106 6.6 CALORIMETRY 107 6.6.1 AC CALORIMETRY 107 6.6.2
DIFFERENTIAL SCANNING CALORIMETRY 108 6.6.3 NANOCALORIMETRY 109 6.6.4
CRYOGENICS 110 6.6.5 HIGH TEMPERATURES 110 6.7 SUMMARY ILL THE THIRD LAW
113 7.1 INTRODUCTION 113 7.2 NERNST S HYPOTHESIS 113 7.3 UNATTAINABILITY
OF ABSOLUTE ZERO 115 7.3.1 LIMITS ON H AND G 117 7.4 CONSEQUENCES OF THE
THIRD LAW 117 7.4.1 COEFFICIENT OF EXPANSION 117 7.4.2 SPECIFIC HEATS
117 7.5 SUMMARY 118 EXERCISES 119 MODELS OF MATTER 121 8.1 INTRODUCTION
121 8.2 THE IDEAL GAS 121 8.2.1 IDEAL GAS KINETIC THEORY 122 8.2.2
KINETIC THEORY WITH COLLISIONS 127 8.2.3 COLLISIONAL MODELS 128 8.3 VAN
DER WAALS FLUID 130 8.3.1 VAN DER WAALS MODEL 131 8.3.2 CONDENSATION 133
8.3.3 VAN DER WAALS ANDMAXWELL 133 8.3.4 CRITICAL POINT AND CONSTANTS
138 8.4 BEYOND VAN DER WAALS 139 8.4. T CONTENTS 8.4.2 VIRIAL EXPANSION
141 8.4.3 REDLICH-KWONG EQUATION OF STATE 144 8.5 SUMMARY 145 EXERCISES
146 9 STATISTICAL MECHANICS 151 9.1 INTRODUCTION 151 9.2 GIBBS
STATISTICAL MECHANICS 151 9.3 ENSEMBLES OF SYSTEMS 152 9.4 PHASE SPACE
154 9.4.1 CONCEPT 154 9.4.2 JU - SPACE 155 9.4.3 R -SPACE 155 9.4.4
RELATIONSHIP OF N - TO F -SPACE 156 9.4.5 VOLUMES IN PHASE SPACE 158 9.5
ENSEMBLE AVERAGES 159 9.6 COEFFICIENT OF PROBABILITY 160 9.6.1
NONEQUILIBRIUM 160 9.6.2 EQUILIBRIUM 161 9.7 THERMODYNAMICS OF ENSEMBLES
162 9.7.1 CANONICAL ENSEMBLE 162 9.7.2 MICROCANONICAL ENSEMBLE 165 9.8
INFORMATION THEORY 173 9.9 POTENTIAL ENERGIES 174 9.10 EQUIPARTITION
PRINCIPLE 175 9.11 APPLICATIONS 178 9.11.1 SACKUR-TETRODE EQUATION 178
9.11.2 MIXING 180 9.11.3 EXPERIMENT 181 9.12 MOLECULAR PARTITION
FUNCTION 184 9.13 SPINLESS GASES 187 9.13.1 VIBRATION 188 9.13.2
ROTATION 189 9.13.3 ELECTRONIC 191 9.13.4 MOLECULAR PARTITION 194 9.13.5
APPLICATIONS 194 9.14 SUMMARY 197 EXERCISES 198 10 QUANTUM STATISTICAL
MECHANICS 20 CONTENTS XI 10.3.3 STRUCTURELESS BOSE GAS 210 10.3.4
BOSE-EINSTEIN CONDENSATION 213 10.4 FERMI GAS 219 10.4.1 STRUCTURELESS
FERMI GAS 220 10.4.2 DEGENERATE FERMI GAS 223 10.5 SUMMARY 228 EXERCISES
228 11 IRREVERSIBILITY 231 11.1 INTRODUCTION 231 11.2 ENTROPY PRODUCTION
231 11.2.1 GENERAL 231 11.2.2 FORCES AND FLOWS 233 11.2.3
PHENOMENOLOGICAL LAWS 235 11.2.4 ONSAGER SYMMETRY 236 11.3 SOURCES OF
ENTROPY PRODUCTION 237 11.3.1 MIXING 237 11.3.2 MEMBRANE TRANSPORT 238
11.3.3 CHEMICAL REACTIONS 243 11.4 MINIMUM ENTROPY PRODUCTION 254 11.5
SUMMARY 255 EXERCISES 255 12 STABILITY 259 12.1 INTRODUCTION 259 12.2
ENTROPY 260 12.3 THE POTENTIALS 261 12.4 FORM AND STABILITY 262 12.4.1
FUNDAMENTAL RELATIONSHIPS 262 12.4.2 TRANSFORMED RELATIONSHIPS 267 12.5
SUMMARY 269 EXERCISES 270 13 EQUILIBRIUM OF CHEMICAL REACTIONS 271 13.1
INTRODUCTION 271 13.2 STABILITY OF REACTIONS 271 13.3 CHEMICAL POTENTIAL
274 13.3.1 IDEAL GASES 274 13.3.2 NONIDEAL CALORIC EFFECTS 276 13.3.3
NONIDEAL COLLISIONAL EFFECTS 277 13.4 FUGACITY 279 13.5 ACTIVITIES AND
MASS ACTION 281 13.5.1 IN NONIDEAL GASES 281 13.5.2 IN IDEAL GASES 283
13. X ;J CONTENTS 13.7 MODEL SYSTEMS 286 13.7.1 VAN DER WAALS FLUID 287
13.7.2 VIRIAL APPROXIMATION 287 13.7.3 MIXTURES OF NONIDEAL GASES 290
13.8 COUPLED REACTIONS 291 13.9 CHEMICAL AFFINITY 292 13.10 SUMMARY 294
EXERCISES 294 14 CHEMICAL KINETICS 299 14.1 INTRODUCTION 299 14.2
KINETIC EQUATIONS 299 14.3 COLLISION RATES 301 14.4 ACTIVATED COMPLEX
303 14.5 TRANSITION STATE THEORY 306 14.5.1 MICROSCOPIC TST 308 14.5.2
MACROSCOPIC TST 314 14.6 SPECIFIC REACTIONS 315 14.6.1 LINDEMANN
MECHANISM 315 14.6.2 ENZYME KINETICS 319 14.7 SUMMARY 322 EXERCISES 323
15 SOLUTIONS 327 15.1 INTRODUCTION 327 15.2 THERMODYNAMIC EQUILIBRIUM IN
SOLUTIONS 327 15.3 CHEMICAL POTENTIAL OF A SOLUTION 329 15.4 EMPIRICAL
LAWS 331 15.5 IDEAL SOLUTIONS 334 15.5.1 IDEAL SOLUTIONS 334 15.5.2
LEWIS-RANDALL IDEAL SOLUTIONS 334 15.6 ACTIVITY COEFFICIENT 336 15.7
EXCESS AND MIXING PROPERTIES 337 15.8 SUMMARY 339 EXERCISES 339 16
HETEROGENEOUS EQUILIBRIUM 341 16.1 INTRODUCTION 341 16.2 GIBBS PHASE
RULE 341 16.3 PHASE TRANSITIONS 344 16.3.1 VAN DER WAALS FLUID 344
16.3.2 MAXWELL CONSTRUCTION 347 16.3.3 ABOVE THE CRITICAL POINT 348 16.
CONTENTS XIII 16.6 BINARY SYSTEMS 354 16.6.1 GENERAL BINARY SYSTEM 354
16.6.2 LIQUID-GAS 355 16.6.3 SOLID-LIQUID 357 16.7 SUMMARY 358 EXERCISES
359 A.I THE IDEAL GAS 361 A.2 SECOND LAW TRADITIONAL TREATMENT 364 A.3
LIOUVILLE THEOREM 368 A.4 LAGRANGE UNDETERMINED MULTIPLIERS 369 A.5
MAXIMIZING W(Z*) 370 A.6 MICROCANONICAL VOLUMES 371 A.7 CARATHEODORY S
PRINCIPLE 372 A.8 JACOBIANS 378 A.8.1 DEFINITION 378 A.8.2 DIFFERENTIAL
RELATIONS 379 A.8.3 INVERSE TRANSFORMATION 380 A.8.4 REVERSING ORDERS
381 REFERENCES 389 INDEX 397
|
| adam_txt |
CONTENTS 1 BEGINNINGS 1 1 . 1 INTRODUCTION 1 1.2 HEAT AND MOTION 2 1.3
THE LAWS 4 1.3.1 FIRST LAW 4 1.3.2 SECOND LAW 7 1.4 MODERN DIRECTIONS 9
1.5 SUMMARY 10 EXERCISES 10 2 FORMULATION 13 2.1 INTRODUCTION 13 2.2
SYSTEMS AND PROPERTIES 13 2.2.1 SYSTEMS 13 2.2.2 BOUNDARIES 14 2.2.3
PROPERTIES AND STATES 15 2.2.4 SURFACES AND STATES 15 2.2.5 QUASISTATIC
PROCESSES 16 2.2.6 PROPERTIES AND PROCESSES 16 2.3 PROPERTIES AND THE
LAWS 17 2.3.1 TEMPERATURE 18 2.3.2 INTERNAL ENERGY 19 2.3.3 ENTROPY 24
2.4 COMBINING THE LAWS 29 2.5 SUMMARY 30 EXERCISES 31 3 MATHEMATICAL
BACKGROUND 41 3.1 INTRODUCTION 41 3.2 EXACT DIFFERENTIALS 42 3.3
INTEGRATION 44 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/990121011
DIGITALISIERT DURCH VIJI CONTENTS 3.4 DIFFERENTIAL RELATIONSHIPS 46 3.5
VARIABLE TRANSFORMATIONS 47 3.5.1 FROM POINTS TO TANGENT LINES 47 3.5.2
SURFACES AND CONTOURS 49 3.5.3 GENERAL LEGENDRE TRANSFORMATION 51 3.6
SUMMARY 52 EXERCISES 52 4 THERMODYNAMIC POTENTIALS 55 4.1 INTRODUCTION
55 4.2 THE FUNDAMENTAL SURFACE 55 4.3 THE FOUR POTENTIALS 56 4.3.1
INTERNAL ENERGY 56 4.3.2 TRANSFORMATIONS 60 4.3.3 THE HELMHOLTZ ENERGY
60 4.3.4 THE ENTHALPY 63 4.3.5 GIBBS ENERGY 66 4.4 RELATIONS AMONG
POTENTIALS 68 4.5 MAXWELL RELATIONS 69 4.6 INTENSIVE AND EXTENSIVE
VARIABLES 71 4.7 VARIABLE COMPOSITION 72 4.7.1 SINGLE COMPONENTS 72
4.7.2 MIXING 75 4.7.3 GIBBS-DUHEM EQUATION 79 4.8 THE GIBBS FORMULATION
80 4.9 SUMMARY 81 EXERCISES 82 5 STRUCTURE OF THE POTENTIALS 85 5.1
INTRODUCTION 85 5.1.1 GENERAL CURVATURE RELATIONSHIPS 85 5.2
GIBBS-HELMHOLTZ EQUATIONS 86 5.3 CURVATURES OF THE FUNDAMENTAL SURFACE
89 5.3.1 CALORIC PROPERTIES AND CURVATURES 89 5.3.2 MECHANICAL
PROPERTIES AND CURVATURES 90 5.3.3 CURVATURES OF THE POTENTIALS 91 5.3.4
FROM CURVATURES TO POTENTIALS 92 5.4 MECHANICAL AND CALORIC CONSISTENCY
94 5.5 SUMMARY 94 EXERCISES 95 6 LABORATORY MEASUREMENTS 97 6. CONTENTS
6.2.2 FIXED POINTS 98 6.2.3 THERMOMETERS 100 6.3 PRESSURE 100 6.3.1
ELECTRONIC PRESSURE MEASUREMENT 100 6.3.2 RESONANT PRESSURE SENSORS 102
6.3.3 PISTON GAUGES 102 6.3.4 LOW PRESSURE 103 6.4 DENSITY 104 6.4.1
MAGNETIC SUSPENSION 104 6.4.2 TWO-SINKER DENSIMETER 105 6.4.3
SINGLE-SINKER DENSIMETER 105 6.4.4 VIBRATING BODIES 106 6.5 SPEED OF
SOUND 106 6.6 CALORIMETRY 107 6.6.1 AC CALORIMETRY 107 6.6.2
DIFFERENTIAL SCANNING CALORIMETRY 108 6.6.3 NANOCALORIMETRY 109 6.6.4
CRYOGENICS 110 6.6.5 HIGH TEMPERATURES 110 6.7 SUMMARY ILL THE THIRD LAW
113 7.1 INTRODUCTION 113 7.2 NERNST'S HYPOTHESIS 113 7.3 UNATTAINABILITY
OF ABSOLUTE ZERO 115 7.3.1 LIMITS ON H AND G 117 7.4 CONSEQUENCES OF THE
THIRD LAW 117 7.4.1 COEFFICIENT OF EXPANSION 117 7.4.2 SPECIFIC HEATS
117 7.5 SUMMARY 118 EXERCISES 119 MODELS OF MATTER 121 8.1 INTRODUCTION
121 8.2 THE IDEAL GAS 121 8.2.1 IDEAL GAS KINETIC THEORY 122 8.2.2
KINETIC THEORY WITH COLLISIONS 127 8.2.3 COLLISIONAL MODELS 128 8.3 VAN
DER WAALS FLUID 130 8.3.1 VAN DER WAALS MODEL 131 8.3.2 CONDENSATION 133
8.3.3 VAN DER WAALS ANDMAXWELL 133 8.3.4 CRITICAL POINT AND CONSTANTS
138 8.4 BEYOND VAN DER WAALS 139 8.4. T CONTENTS 8.4.2 VIRIAL EXPANSION
141 8.4.3 REDLICH-KWONG EQUATION OF STATE 144 8.5 SUMMARY 145 EXERCISES
146 9 STATISTICAL MECHANICS 151 9.1 INTRODUCTION 151 9.2 GIBBS'
STATISTICAL MECHANICS 151 9.3 ENSEMBLES OF SYSTEMS 152 9.4 PHASE SPACE
154 9.4.1 CONCEPT 154 9.4.2 JU - SPACE 155 9.4.3 R -SPACE 155 9.4.4
RELATIONSHIP OF N - TO F -SPACE 156 9.4.5 VOLUMES IN PHASE SPACE 158 9.5
ENSEMBLE AVERAGES 159 9.6 COEFFICIENT OF PROBABILITY 160 9.6.1
NONEQUILIBRIUM 160 9.6.2 EQUILIBRIUM 161 9.7 THERMODYNAMICS OF ENSEMBLES
162 9.7.1 CANONICAL ENSEMBLE 162 9.7.2 MICROCANONICAL ENSEMBLE 165 9.8
INFORMATION THEORY 173 9.9 POTENTIAL ENERGIES 174 9.10 EQUIPARTITION
PRINCIPLE 175 9.11 APPLICATIONS 178 9.11.1 SACKUR-TETRODE EQUATION 178
9.11.2 MIXING 180 9.11.3 EXPERIMENT 181 9.12 MOLECULAR PARTITION
FUNCTION 184 9.13 SPINLESS GASES 187 9.13.1 VIBRATION 188 9.13.2
ROTATION 189 9.13.3 ELECTRONIC 191 9.13.4 MOLECULAR PARTITION 194 9.13.5
APPLICATIONS 194 9.14 SUMMARY 197 EXERCISES 198 10 QUANTUM STATISTICAL
MECHANICS 20 CONTENTS XI 10.3.3 STRUCTURELESS BOSE GAS 210 10.3.4
BOSE-EINSTEIN CONDENSATION 213 10.4 FERMI GAS 219 10.4.1 STRUCTURELESS
FERMI GAS 220 10.4.2 DEGENERATE FERMI GAS 223 10.5 SUMMARY 228 EXERCISES
228 11 IRREVERSIBILITY 231 11.1 INTRODUCTION 231 11.2 ENTROPY PRODUCTION
231 11.2.1 GENERAL 231 11.2.2 FORCES AND FLOWS 233 11.2.3
PHENOMENOLOGICAL LAWS 235 11.2.4 ONSAGER SYMMETRY 236 11.3 SOURCES OF
ENTROPY PRODUCTION 237 11.3.1 MIXING 237 11.3.2 MEMBRANE TRANSPORT 238
11.3.3 CHEMICAL REACTIONS 243 11.4 MINIMUM ENTROPY PRODUCTION 254 11.5
SUMMARY 255 EXERCISES 255 12 STABILITY 259 12.1 INTRODUCTION 259 12.2
ENTROPY 260 12.3 THE POTENTIALS 261 12.4 FORM AND STABILITY 262 12.4.1
FUNDAMENTAL RELATIONSHIPS 262 12.4.2 TRANSFORMED RELATIONSHIPS 267 12.5
SUMMARY 269 EXERCISES 270 13 EQUILIBRIUM OF CHEMICAL REACTIONS 271 13.1
INTRODUCTION 271 13.2 STABILITY OF REACTIONS 271 13.3 CHEMICAL POTENTIAL
274 13.3.1 IDEAL GASES 274 13.3.2 NONIDEAL CALORIC EFFECTS 276 13.3.3
NONIDEAL COLLISIONAL EFFECTS 277 13.4 FUGACITY 279 13.5 ACTIVITIES AND
MASS ACTION 281 13.5.1 IN NONIDEAL GASES 281 13.5.2 IN IDEAL GASES 283
13. X ;J CONTENTS 13.7 MODEL SYSTEMS 286 13.7.1 VAN DER WAALS FLUID 287
13.7.2 VIRIAL APPROXIMATION 287 13.7.3 MIXTURES OF NONIDEAL GASES 290
13.8 COUPLED REACTIONS 291 13.9 CHEMICAL AFFINITY 292 13.10 SUMMARY 294
EXERCISES 294 14 CHEMICAL KINETICS 299 14.1 INTRODUCTION 299 14.2
KINETIC EQUATIONS 299 14.3 COLLISION RATES 301 14.4 ACTIVATED COMPLEX
303 14.5 TRANSITION STATE THEORY 306 14.5.1 MICROSCOPIC TST 308 14.5.2
MACROSCOPIC TST 314 14.6 SPECIFIC REACTIONS 315 14.6.1 LINDEMANN
MECHANISM 315 14.6.2 ENZYME KINETICS 319 14.7 SUMMARY 322 EXERCISES 323
15 SOLUTIONS 327 15.1 INTRODUCTION 327 15.2 THERMODYNAMIC EQUILIBRIUM IN
SOLUTIONS 327 15.3 CHEMICAL POTENTIAL OF A SOLUTION 329 15.4 EMPIRICAL
LAWS 331 15.5 IDEAL SOLUTIONS 334 15.5.1 IDEAL SOLUTIONS 334 15.5.2
LEWIS-RANDALL IDEAL SOLUTIONS 334 15.6 ACTIVITY COEFFICIENT 336 15.7
EXCESS AND MIXING PROPERTIES 337 15.8 SUMMARY 339 EXERCISES 339 16
HETEROGENEOUS EQUILIBRIUM 341 16.1 INTRODUCTION 341 16.2 GIBBS PHASE
RULE 341 16.3 PHASE TRANSITIONS 344 16.3.1 VAN DER WAALS FLUID 344
16.3.2 MAXWELL CONSTRUCTION 347 16.3.3 ABOVE THE CRITICAL POINT 348 16.
CONTENTS XIII 16.6 BINARY SYSTEMS 354 16.6.1 GENERAL BINARY SYSTEM 354
16.6.2 LIQUID-GAS 355 16.6.3 SOLID-LIQUID 357 16.7 SUMMARY 358 EXERCISES
359 A.I THE IDEAL GAS 361 A.2 SECOND LAW TRADITIONAL TREATMENT 364 A.3
LIOUVILLE THEOREM 368 A.4 LAGRANGE UNDETERMINED MULTIPLIERS 369 A.5
MAXIMIZING W(Z*) 370 A.6 MICROCANONICAL VOLUMES 371 A.7 CARATHEODORY'S
PRINCIPLE 372 A.8 JACOBIANS 378 A.8.1 DEFINITION 378 A.8.2 DIFFERENTIAL
RELATIONS 379 A.8.3 INVERSE TRANSFORMATION 380 A.8.4 REVERSING ORDERS
381 REFERENCES 389 INDEX 397 |
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| discipline_str_mv | Chemie / Pharmazie Physik Chemie |
| format | Book |
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| id | DE-604.BV035125469 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:22:43Z |
| indexdate | 2024-07-09T21:22:54Z |
| institution | BVB |
| isbn | 9783540854173 9783540854180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016793058 |
| oclc_num | 297540616 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM DE-20 DE-634 DE-83 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM DE-20 DE-634 DE-83 DE-11 |
| physical | XIII, 402 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Helrich, Carl S. Verfasser (DE-588)138804370 aut Modern thermodynamics with statistical mechanics Carl S. Helrich Berlin [u.a.] Springer 2009 XIII, 402 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistische Mechanik Thermodynamik Thermodynamik (DE-588)4059827-5 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 s DE-604 Statistische Mechanik (DE-588)4056999-8 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016793058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Helrich, Carl S. Modern thermodynamics with statistical mechanics Statistische Mechanik Thermodynamik Thermodynamik (DE-588)4059827-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4059827-5 (DE-588)4056999-8 |
| title | Modern thermodynamics with statistical mechanics |
| title_auth | Modern thermodynamics with statistical mechanics |
| title_exact_search | Modern thermodynamics with statistical mechanics |
| title_exact_search_txtP | Modern thermodynamics with statistical mechanics |
| title_full | Modern thermodynamics with statistical mechanics Carl S. Helrich |
| title_fullStr | Modern thermodynamics with statistical mechanics Carl S. Helrich |
| title_full_unstemmed | Modern thermodynamics with statistical mechanics Carl S. Helrich |
| title_short | Modern thermodynamics with statistical mechanics |
| title_sort | modern thermodynamics with statistical mechanics |
| topic | Statistische Mechanik Thermodynamik Thermodynamik (DE-588)4059827-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Statistische Mechanik Thermodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016793058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT helrichcarls modernthermodynamicswithstatisticalmechanics |