Statistical mechanics: 2 Time-dependent processes
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Plenum Press
1977
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| Schriftenreihe: | Modern theoretical chemistry
6 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 362 S. graph. Darst. |
| ISBN: | 0306335069 |
Internformat
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| 245 | 1 | 0 | |a Statistical mechanics |n 2 |p Time-dependent processes |c ed. by Bruce J. Berne |
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Datensatz im Suchindex
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| adam_text | STATISTICAL MECHANICS PART B: TIME-DEPENDENT PROCESSES EDITEDBY BRUCE J.
BERNE COLUMBIA UNIVERSITY, NEW YORK PLENUM PRESS * NEW YORK AND LONDON
CONTENTS OF VOLUME 6 CONTENTS OF VOLUME 5 XV CHAPTER 1. MOLECULAR
DYNAMICS TECHNIQUES FOR HARD-CORE SYSTEMS JEROME J. ERPENBECK AND
WILLIAM W. WOOD 1. INTRODUCTION 1 2. STATISTICAL-MECHANICALBACKGROUND 2
2.1. CANONICAL-ENSEMBLE AVERAGES 2 2.2. MOLECULAR DYNAMICS AVERAGES 4
2.3. PERIODIC BOUNDARY CONDITIONS 6 3. APPROACH TO EQUILIBRIUM 7 4.
EQUILIBRIUM THERMODYNAMIC FUNCTIONS 8 4.1. DYNAMICAL PRESSURE 9 4.2.
VIRIAL THEOREM 11 4.3. RELATIONSHIP OF DYNAMICAL AND CANONICAL-ENSEMBLE
PRESSURES 13 4.4. PRESSURE FROM COLLISION RATE 14 5. EQUILIBRIUM TIME
CORRELATION FUNCTIONS 17 5.1. TIME CORRELATION FUNCTIONS FOR
SELF-DIFFUSION 17 5.2. COMPUTATIONAL PROCEDURES AND RESULTS FOR D I2 T)
. . . . 20 6. NONEQUILIBRIUM MOLECULAR DYNAMICS 23 6.1. NUMERICAL
DETAILS 24 6.2. ANALYSIS OF DATA 25 7. ACCURACY OF MOLECULAR DYNAMICS
TRAJECTORY 27 7.1. CONSTANTS OF MOTION 27 7.2. GROWTHOF TRAJECTORY ERROR
28 IX X CONTENTS OF VOLUME 6 8. PROGRAMMING TECHNIQUES 32 8.1. SIMPLE
MOLECULAR DYNAMICS PROGRAM 32 8.2. TIME TABLE METHOD 34 8.3. CELL TABLE
METHOD 35 8.4. POSITION UPDATING 36 APPENDIX 37 REFERENCES 38 CHAPTER 2.
MOLECULAR DYNAMICS METHODS: CONTINUOUS POTENTIALS /. KUSHICK AND B. J.
BERNE 1. INTRODUCTION 41 2. INTEGRATION PROCEDURES FOR THE EQUATIONS OF
MOTION 43 3. TIME-SAVING TECHNIQUES 47 4. POTENTIAL FUNCTIONS FOR
ANISOTROPIE MOLECULES 49 5. THE CALCULATION OF TIME CORRELATION
FUNCTIONS AND STATIC PROPERTIES 53 6. SYSTEMS WITH LONG-RANGE FORCES 58
7. BROWNIAN MOLECULAR DYNAMICS 60 8. CONCLUSION 61 REFERENCES 61 CHAPTER
3. THE KINETIC THEORY OF GASES /. R. DORFMAN AND H. VAN BEIJEREN 1.
INTRODUCTION 65 2. THE BOLTZMANN EQUATION 68 2.1. BOLTZMANN S DERIVATION
68 2.2. THE//-THEOREM AND THE APPROACH TO EQUILIBRIUM . . . . 82 2.3.
SOLUTIONS OF THE BOLTZMANN EQUATION 92 3. THE KINETIC THEORY OF DENSE
GASES 123 3.1. INTRODUCTION 123 3.2. THE ENSKOG THEORY AND ITS
MODIFICATIONS 125 3.3. THS LIOUVILLE EQUATION AND THE BBGKY HIERARCHY
EQUATIONS 135 3.4. THE CLUSTER EXPANSION METHOD AND THE GENERALIZED
BOLTZMANN EQUATION 139 4. TIME CORRELATION FUNCTIONS 160 4.1.
BASICTHEORY 160 CONTENTS OF VOLUME 6 XI 4.2. COMPUTER RESULTS FOR THE
VELOCITY AUTOCORRELATION FUNCTION 162 4.3. APPLICATIONS OF THE KINETIC
THEORY OF GASES TO THE TIME CORRELATION FUNCTIONS 164 5. DISCUSSION 171
5.1. PROBLEMS CONNECTED WITH THE BOLTZMANN EQUATION . . . 171 5.2.
PROBLEMS CONNECTED WITH THE KINETIC THEORY OF DENSE GASES 172 REFERENCES
173 CHAPTER 4. RENORMALIZED KINETIC THEORY OF DENSE FLUIDS GENE F.
MAZENKO AND SIDNEY YIP 1. INTRODUCTION 181 2. PHASE SPACE TIME
CORRELATION FUNCTIONS 183 3. THE MEMORY FUNCTION FORMULATION 186 4.
SYMMETRIZED TWO-PARTICLE CORRELATIONS WITH RENORMALIZED INTERACTIONS 194
4.1. FORMAL SOLUTION FOR G 194 4.2. PROPERTIES OF RENORMALIZED
INTERACTIONS 196 4.3. MODE-COUPLING APPROXIMATIONS 198 5. THE
BOLTZMANN-ENSKOG THEORY OF THERMAL FLUCTUATIONS . . . 202 6. THE
VELOCITY AUTOCORRELATION FUNCTION OF A DENSE FLUID . . . . 212 6.1. THE
ENSKOG APPROXIMATION 214 6.2. EFFECTS OF RECOLLISIONS 216 7. SUMMARY AND
DISCUSSIONS 221 APPENDIX A 222 APPENDIX B 224 APPENDIX C. REDUCTION OF
THE MEMORY FUNCTION IN THE BOLTZMANN-ENSKOG APPROXIMATION 224 REFERENCES
230 CHAPTER 5. PROJECTION OPERATOR TECHNIQUES IN THE THEORY OF
FLUCTUATIONS BRUCE J. BERNE 1. INTRODUCTION 233 2. LIOUVILLE SPACE 234
3. RELAXATION EQUATIONS 239 4. SYMMETRY PROPERTIES 245 XII CONTENTS OF
VOLUME 6 5. NAVIER-STOKES EQUATIONS 251 6. CONCLUSIONS 256 REFERENCES
257 CHAPTER 6. PRINCIPLES OF MODE-MODE COUPLING THEORY T. KEYES 1.
INTRODUCTION 259 2. WRITING MODE-MODE EQUATIONS 271 3. SOLVING MODE-MODE
EQUATIONS 284 4. EXAMPLES 296 4.1. MUTUAL DIFFUSION IN A BINARY CRITICAL
MIXTURE 296 4.2. SELF-DIFFUSION 302 4.3. REORIENTATION 304 5. CONCLUSION
. 307 REFERENCES 308 CHAPTER 7. GLOBAL ANALYSIS OF NONLINEAR CHEMICAL
KINETICS LEON GLASS 1. INTRODUCTION 311 1.1. STRUCTURALSTABILITYOF
KINETIC EQUATIONS -. . 311 1.2. CRITICAL POINTS AND DYNAMICS IN THE
LINEAR REGIME . . . 313 1.3. GRAPHICAL ANALYSIS OF STABILITY CRITERIA
314 2. AN INDEX THEOREM FOR CHEMICAL KINETICS 316 2.1. CHEMICAL DYNAMICS
ON MANIFOLDS 316 2.2. LIMITATIONS OF THE INDEX THEOREM 318 3. FLOW BOX
ANALYSIS IN CHEMICAL KINETICS 319 3.1. CLASSIFICATION OF FLOWS IN
KINETIC SYSTEMS 319 3.2. COMPUTATION OF STATE TRANSITION DIAGRAMS FROM
THE NONLINEAR EQUATIONS 321 3.3. CRITICAL POINTS AND QUALITATIVE
DYNAMICS FROM STATE TRANSITION DIAGRAMS 324 4. SOME LIMIT CYCLE
OSCILLATIONS IN NONLINEAR KINETIC EQUATIONS . 327 4.1. THE HOPF
BIFURCATION 327 4.2. GLOBAL ANALYSIS OF LIMIT CYCLE OSCILLATIONS 328
4.3. CYCLIC ATTRACTORS AND LIMIT CYCLES IN HIGHER DIMENSIONS . 332 5.
REACTION AND DIFFUSION IN A RING OF CELLS 334 5.1. EIGENVALUES OF
TURING S EQUATIONS 334 5.2. GLOBAL ANALYSIS OF A NONLINEAR CELLULAR
OSCILLATION . . . 337 CONTENTS OF VOLUME 6 XIII 6. DISCUSSION 340
APPENDIX 343 REFERENCES 345 AUTHORLNDEX 351 SUBJECT INDEX 357 I
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| indexdate | 2024-07-09T16:51:36Z |
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| language | English |
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| physical | XV, 362 S. graph. Darst. |
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| publisher | Plenum Press |
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| series | Modern theoretical chemistry |
| series2 | Modern theoretical chemistry |
| spelling | Statistical mechanics 2 Time-dependent processes ed. by Bruce J. Berne New York [u.a.] Plenum Press 1977 XV, 362 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Modern theoretical chemistry 6 Modern theoretical chemistry ... Berne, Bruce J. 1940- (DE-588)133989496 edt (DE-604)BV005763567 2 Modern theoretical chemistry 6 (DE-604)BV001891778 6 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004336409&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Statistical mechanics Modern theoretical chemistry |
| title | Statistical mechanics |
| title_auth | Statistical mechanics |
| title_exact_search | Statistical mechanics |
| title_full | Statistical mechanics 2 Time-dependent processes ed. by Bruce J. Berne |
| title_fullStr | Statistical mechanics 2 Time-dependent processes ed. by Bruce J. Berne |
| title_full_unstemmed | Statistical mechanics 2 Time-dependent processes ed. by Bruce J. Berne |
| title_short | Statistical mechanics |
| title_sort | statistical mechanics time dependent processes |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004336409&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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