Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces

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Weitere Verfasser: Charvolin, J. (HerausgeberIn)
Format: Tagungsbericht Buch
Sprache:English
Veröffentlicht: Amsterdam u.a. North-Holland 1990
Schriftenreihe:École d'Été de Physique Théorique <LesHouches>: Session 48
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adam_text USMG NATO ASI LES HOUCHES SESSION XLVII I 30 MAI-24 JUIN 1988 LIQUIDES AUX INTERFACES LIQUIDS AT INTERFACES EDITE PAR J. CHARVOLIN, J.F. JOANNY ET J. ZINN-JUSTIN CONTRIBUTORS II LECTURERS IX PARTICIPANTS - X I PREFACE (IN FRENCH AND ENGLISH) XVI I COURSE 1 . MICROSCOPIC THEORIES OF SIMPLE FLUIDS AND THEIR INTERFACES , BY R. EVANS 1 1. PRELIMINARIES 4 1 .1. SCOPE 4 1 .2. IDENTIFICATION OF PHASES AND INTERFACES 5 1 .3. MODEL FLUIDS, COMPUTER SIMULATION, COMPARISON WITH EXPERIMENT AND ALL THAT 10 2. SUMMARY OF THERMODYNAMICS OF INTERFACES AND ADSORPTION 1 4 2.1. TWO COEXISTING PHASES 1 4 2.2. ADSORPTION AT A SUBSTRATE 1 7 2.3. ADSORPTION OF A FLUID BETWEEN TWO SUBSTRATES : SOLVATION FORCE AND CAPILLARY CONDENSATION 20 3. EQUILIBRIUM STATISTICAL MECHANICS OF LIQUIDS 30 3 .1. CORRELATION FUNCTIONS AND DENSITY PROFILES AS FUNCTIONAL DERIVATIVES 30 3 .2. THERMODYNAMIC FUNCTIONS 36 3 .3. PERTURBATION THEORY AND APPROXIMATE FREE ENERGY FUNCTIONALS 39 3 .4. OTHER DENSITY FUNCTIONAL APPROXIMATIONS 45 3 .5. INTEGRAL EQUATION THEORIES FOR BULK LIQUIDS AND SOME EXTENSIONS T O INHOMOGENEOUS FLUIDS 57 4. INTERFACIAL TENSION AND STRUCTURE : EXACT FORMULAE AND SOME APPROXIMATIONS 66 4 .1. MECHANICAL TREATMENT 66 4 .2. KIRKWOOD-BUFF THEORY 68 4.3. THE DIRECT CORRELATION FUNCTION ROUTE 69 4.4. FLUIDS NEAR HARD-WALLS 72 4.5. MEAN-FIELD APPROXIMATIONS; THE LIQUID-GAS INTERFACE 75 4.6. BEYOND MEAN-FIELD : RECENT DEVELOPMENTS 8 0 5. CONCLUDING REMARKS 8 7 APPENDIX 1 9 0 AL .L. CAPILLARY-WAVE MODEL 9 0 REFERENCES 9 3 COURSE 2. INTERACTIONS BETWEEN INTERFACES IN LIQUIDS , BY S. MARCELJA 99 1. INTRODUCTION 102 1 .1. SURFACE FORCE APPARATUS 103 1 .2. DLVO THEORY 105 1 .2.1. THE GOUY-CHAPMAN THEORY 105 1 .2.2. CALCULATION OF VAN DER WAALS ATTRACTION 107 1.2.3. EXPERIMENTAL VERIFICATION OF THE DLVO THEORY 10 9 1.2.4. SUMMARY OF THE EXPERIMENTAL SITUATION 11 2 2. ELECTRICAL INTERACTIONS 11 2 2 .1 . DISPERSION FORCE CALCULATION 11 3 2 .2. METHODS FOR NON-UNIFORM FLUIDS 11 7 2.2.1. FURTHER APPROXIMATIONS 11 9 2 .3. ELECTROLYTES BETWEEN SURFACES 120 2.3 .1. REVIEW OF THE THEORETICAL METHOD 120 2.3 .2. EXAMPLES 123 3. STRUCTURAL INTERACTIONS 13 1 3.1. STRUCTURE OF SIMPLE FLUIDS BETWEEN SURFACES 13 1 4. INTERACTIONS IN WATER 13 3 4.1. REMARKS ABOUT WATER STRUCTURE 13 3 4.1 .1. INTERACTION OF WATER MOLECULES 13 3 4.1 .2. STRUCTURE OF LIQUID WATER 13 5 4 .1 .3. SMALL HYDROPHOBIC SOLUTES 13 7 4.2. HYDROPHOBIC INTERACTION OF EXTENDED SURFACES 13 8 4.3. HYDRATION FORCES 14 3 4 .3.1. THE POLARIZATION MODEL FOR THE HYDRATION FORCES 14 5 4 .3.2. THE PERTURBATION OF HYDROGEN BOND NETWORK 14 6 REFERENCES 14 8 COURSE 2 .1 . THE HYDRATION FORCE: A MECHANISM QUANTIFIED IN A MODEL SYSTEM , BY P. ATTARD 153 COURSE 2 .2. IMAGES, CORRELATIONS AND THE ASYMPTOTIC BEHAVIOR OF THE ELECTRIC DOUBLE LAYER, BY P . ATTARD 161 COURSE 2 .3. STRUCTURAL AND THERMODYNAMIC PROPERTIES OF DENSE FLUIDS IN NARROW SLITS, BY S. SARMAN 169 COURSE 3 . FILMS OF AMPHIPHILES, STRUCTURAL DESCRIPTION, BY J. CHARVOLIN 179 1. INTRODUCTION 182 2. THE BUILDING OF FILMS BY AMPHIPHILIC MOLECULES 182 2.1. AMPHIPHILIC MOLECULES AT LIQUID/LIQUID INTERFACES 182 2.2. PHASE DIAGRAMS AND STRUCTURES 184 2.3. THERMODYNAMICS 189 2.3 .1. MICELLAR FORMATION AND GROWTH IN IDEAL SOLUTION 189 2.3 .2. MICROEMULSIONS 192 3. MOLECULAR BEHAVIORS IN FILMS 193 3 .1. EXPERIMENTAL DATA 193 3 .2. THERMODYNAMICS 195 3 .3. A MOLECULAR VIEW OF THE PROPERTIES OF THE FILMS 197 4. PRINCIPLES OF THE ORGANIZATION OF INTERACTING FILMS 198 4 .1. INTERPLAY OF FORCES AND FRUSTRATION 199 4 .2. SEARCH FOR SOLUTIONS 200 4.2 .1. METHOD 200 4.2 .2. RESULTS 20 1 4.3. DISCUSSION 203 5. CONCLUSION 204 REFERENCES 20 5 COURSE 4. ELASTICITY AND THERMAL UNDULATIONS OF FLUID FILMS OF AMPHIPHILES BY W. HELFRICH 209 1. INTRODUCTION 21 2 2. ELASTICITY AND VESICLE SHAPES 21 3 2.1. STRETCHING ELASTICITY 21 3 2.2. BENDING ELASTICITY 21 3 2.3. SHAPE EQUATIONS 21 5 2.4. MEASUREMENTS OF ELASTIC MODULI 21 8 2.5. MICROSCOPIC MODELS OF ELASTICITY 219 3. THERMAL UNDULATIONS 22 1 3.1. THE STATISTICAL MECHANICS OF UNDULATIONS 22 1 3.2. MEMBRANE AREA ABSORBED BY UNDULATIONS 22 3 3.3. PERSISTENCE LENGTH AND EFFECTIVE RIGIDITY 225 4. UNDULATION FORCES 22 8 4.1 . PURE UNDULATION FORCES 22 9 4.2. TOTAL INTERACTION: HARMONIC APPROXIMATIONS 23 2 4.3. TOTAL INTERACTION: NONHARMONIC FLUCTUATIONS 23 4 5. CONCLUSION 23 5 REFERENCES 23 6 COURSE 5. INTERACTIONS BETWEEN SURFACES WITH ADSORBED AND GRAFTED POLYMERS , BY J. KLEIN 23 9 1. INTRODUCTION 242 2. BRIEF REVISION OF POLYMER PROPERTIES 244 2 .1. THE SINGLE CHAIN 244 2 .2. MIXING IN MANY CHAIN SYSTEMS 24 6 2 .3. SCALING 24 7 3. ADSORPTION OF POLYMERS 24 8 3 .1. SINGLE IDEAL CHAIN AT A SURFACE 24 9 3 .2. MANY-CHAIN ADSORPTION FROM A GOOD SOLVENT 25 1 3 .3. ADSORBANCE 25 2 4. QUALITATIVE ASPECTS OF SURFACE FORCES 25 3 4.1. VOLUME EXCLUSION AND OSMOTIC EFFECTS 25 3 4.2. BRIDGING 25 3 4.3. DEPLETION ATTRACTION 25 4 5. EXPERIMENTAL METHODS 25 5 6. FORCES BETWEEN ADSORBED POLYMER LAYERS 25 6 6.1. ADSORBED CHAINS IN POOR SOLVENT (T 8) 25 7 6.2. ADSORBED CHAINS IN 8-SOLVENTS 25 8 6.3. ADSORBED POLYMERS IN GOOD SOLVENTS 25 9 6.4. SURFACE FORCES WITH GRAFTED CHAINS 26 0 7. THEORETICAL APPROACHES AND COMPARISON WITH EXPERIMENT 26 2 7.1. ADSORBED CHAINS 262 7.2. GRAFTED CHAINS 267 8. COMMENTS ON DYNAMIC ASPECTS OF ADSORBED POLYMERS 270 9. SUMMARY 27 1 REFERENCES 27 1 COURSE 6. DYNAMICS OF WETTING BY P .G. DE GENNES 273 COURSE 6.1 . POLYMER ADSORPTION , BY P .G. DE GENNES 293 INTRODUCTION 29 6 EXPERIMENTAL MEASUREMENTS 29 8 THEORETICAL ANALYSIS AND COMPARISON WITH EXPERIMENT 30 1 CONSEQUENCES OF SELF-SIMILARITY : INTERNAL STRUCTURE OF ADSORBED LAYERS 30 5 INTERACTIONS BETWEEN ADSORBED POLYMER LAYERS 30 8 REFERENCES 310 COURSE 6.2. MOTIONS OF POLYMERS NEAR A SOLID SURFACE , BY P.G. DE GENNES 31 1 1. DYNAMICS OF ADSORBED LAYERS IN GOOD SOLVENTS 31 1 2. SPREADING OF POLYMER MELTS: OBSERVATIONS AND SOM E TENTATIVE EXPLANATIONS 31 6 3. SUMMARY 32 5 REFERENCES 32 6 COURSE 7 . EXPERIMENTAL STUDIES OF LIQUIDS AT INTERFACES: CLASSICAL METHODS FOR STUDIES OF SURFACE TENSION, SURFACE WAV E PROPAGATION AND SURFACE THERMAL MODES FOR STUDIES OF VISCOELASTICITY AND BENDING ELASTICITY , BY J. MEUNIER 327 INTRODUCTION 32 8 1. SURFACE TENSION MEASUREMENTS: STATIC METHODS 329 1 .1. MEASUREMENTS OF FORCES : FILM BALANCES 329 1 .1 .1. THE WILHELMY METHOD 329 1 .1 .2. THE LANGMUIR METHOD 332 1 .2. PRESSURE METHODS 333 1 .2 .1. ELEVATION IN CAPILLARY TUBES 333 1 .2 .2. MAXIMUM PRESSURE IN GAS BUBBLES 334 1 .3. GEOMETRICAL METHODS 335 1 .3 .1. THE INTERFACIAL MENISCUS IN THE VICINITY OF A PLANE WALL 335 1 .3 .2. PENDING DROP METHOD AND SESSILE DROP METHOD 336 1 .3 .3. THE SPINNING DROP 338 2. PROPAGATION OF EXCITED SURFACE WAVES 340 2 .1. PROPAGATION OF SURFACE WAVES 340 2 .2. EXPERIMENTAL PROCEDURE 343 3. THERMAL FLUCTUATIONS AT PLANE INTERFACES 345 4. SURFACE LIGHT SCATTERING 34 9 4.1. INTENSITY OF THE SCATTERED LIGHT 349 4.2. DYNAMIC SURFACE LIGHT SCATTERING 352 4.3. EXPERIMENTAL TECHNIQUE 35 5 4.4. EXPERIMENTS 35 8 5. MEASUREMENTS OF THE BENDING ELASTICITY OF A LIQUID INTERFACE : ELLIPSOMETR Y AND REFLECTIVITY 35 9 5.1. ELLIPSOMETRY 35 9 5 .2. X-RAYS REFLECTIVITY 36 6 REFERENCES 367 COURSE 8. EXPERIMENTAL ASPECTS OF WETTING , BY A.M. CAZABAT 371 1. INTRODUCTION 374 2. STATICS: GENERAL DISCUSSION 374 2 .1. SOME DEFINITIONS 374 2 .2. EXPERIMENTAL TECHNIQUES 377 2.2.1. CONTACT ANGLE MEASUREMENTS 377 2.2 .2. FORCE MEASUREMENTS : 17(Z) 378 2.2 .3. FILM THICKNESS MEASUREMENTS : 17(Z) 378 2 .3. EXPERIMENTAL RESULTS 384 2.3 .1. LONG-RANGE FORCES, Z 20 A 384 2.3 .2. SHORT-RANGE FORCES 385 2.3 .3. DISCUSSION 387 APPENDIX 1 . 389 3. HYSTERESIS PHENOMENA IN PARTIAL WETTING 390 3 .1. AN OUTLINE 390 3 .2. SOME HYSTERESIS STUDIES 39 1 3.2.1. EXPERIMENTAL TECHNIQUES 39 1 3 .2 .2. CHEMICAL HYSTERESIS 393 3 .3. SUMMARIZING REMARKS 394 4. COMPLETE WETTING-THE MACROSCOPIC LEVEL 394 4 .1. AN OUTLINE 394 4 .2. PURE LIQUIDS ON SMOOTH SURFACES 396 4.2.1. THE STATIONARY SITUATION 397 4.2.2. SPREADING DROPS 398 4 .3. SOME POSSIBLE SNAGS 400 4.3 .1. HETEROGENEOUS SURFACES 400 4.3 .2. MARANGONI EFFECTS 40 1 4.3 .3. AS A CONCLUSION 402 5. WETTING FILMS: THE MICROSCOPIC LEVEL 40 3 5 .1 . A SUMMARY OF THEORETICAL PREDICTIONS 40 3 5.1 .1. ONE-DIMENSIONAL CASE 40 3 5.1 .2. SPREADING DROPS 404 5.2. WHAT ARE THE SNAGS? 405 5 .2.1. THE ROUGHNESS 405 5.2.2. THE CONTAMINATION 40 6 5.3. SOME EXPERIMENTAL STUDIES 407 5.3 .1. EXPERIMENTS ON WATER 407 5.3 .2. PDMS/SQUALANE 407 5.3 .3. DISCUSSION 41 0 5.3 .4. OTHER STUDIES 41 2 REFERENCES 41 2 COURSE 9 . INTRODUCTION TO WETTING PHENOMENA , BY M. SCHICK 415 PROLOGUE 419 1. AN INTRODUCTION TO THE SUBJECT 420 1 .1. THE PHENOMENON IN ADSORBED SYSTEMS 420 1 .2. THE PHENOMENON IN OTHER SYSTEMS 422 1 .3. NOMENCLATURE 424 1 .4. LITTLE SURFACE THERMODYNAMICS 425 1 .5. CONNECTION WITH THE CONTACT ANGLE 429 1 .6. CAHN S ARGUMENT ON THE NECESSITY OF WETTING CLOSE TO A CRITICAL POINT 43 1 1 .7. WHY IS WETTING A PHASE TRANSITION? 43 2 1 .8. SUMMARY OF THE INTRODUCTION 43 4 1 .9. WHAT SHOULD THEORY DO? TWO QUESTIONS AND ONE QUICK ANSWER 43 5 2. MEAN-FIELD THEORY OF WETTING TRANSITIONS IN SYSTEMS WITH SHORT-RANGE FORCES 43 7 2.1. REVIEW OF THE LANDAU THEORY OF BULK CRITICAL PHENOMENA 43 7 2.2. FLUCTUATIONS WITHIN ORNSTEIN-ZERNIKE THEORY 43 9 2.3. SUMMARY 44 1 2.4. HYPERSCALING AND THE UPPER CRITICAL DIMENSION 441 2.5. DERIVATION FROM MEAN-FIELD THEORY OF THE LANDAU EXPANSION OF TH E SURFACE FREE ENERGY 442 2.6. CRITICAL BEHAVIOR OF THE SURFACE FREE ENERGY 44 6 2.7. THE EFFECTS OF A COMPETING MECHANISM ; THREE REGIMES 45 0 3. MEAN-FIELD THEORY OF WETTING IN SYSTEMS WITH LONG-RANGE FORCES 45 1 3 .1. DERIVATION OF THE LANDAU EXPANSION FROM THE SHARP-KINK APPROXIMATION 45 1 3 .2. CRITICAL BEHAVIOR OF THE SURFACE FREE ENERGY 45 5 3 .3. CONDITIONS FOR CRITICAL WETTING 45 9 3 .4. IMPURITIES AND SURFACTANTS 460 3 .5. THE CAHN ARGUMENT REVISITED 46 1 4. FLUCTUATIONS 462 4 .1. FREE INTERFACE 462 4 .2. A BOUND INTERFACE 464 4 .3. VALIDITY OF ORNSTEIN-ZERNIKE THEORY 467 4 .4. A SINGLE INDEPENDENT EXPONENT FOR CRITICAL WETTING 46 8 4.5. NO INDEPENDENT EXPONENTS FOR COMPLETE WETTING 470 4.6. THE EFFECTIVE WALL INTERACTION DUE TO FLUCTUATIONS 470 4.7. GENERALIZATION OF THE EFFECTIVE INTERACTION DUE TO FLUCTUATIONS 47 1 4.8. THREE SCALING REGIMES FOR CRITICAL WETTING, TWO FOR COMPLETE WETTING 473 4.9. AN ANALOGOUS PHENOMENON; THE COMMENSURATE-INCOMMENSURATE TRANSITION 475 5. CALCULATION IN THE FLUCTUATION-DOMINATED REGIME 477 5 .1. TWO-DIMENSIONAL SYSTEMS; CRITICAL WETTING 477 5 .2. TWO-DIMENSIONAL SYSTEMS ; COMPLETE WETTING 48 1 5 .3. THREE-DIMENSIONAL SYSTEMS; SHORT-RANGE FORCES 482 6. THE EXPERIMENTAL SITUATION 48 5 6 .1. THREE DIMENSIONS, LONG-RANGE FORCES, COMPLETE WETTING 48 5 6 .2. THREE DIMENSIONS, LONG-RANGE FORCES, FIRST-ORDER WETTING 48 9 6 .3. THREE DIMENSIONS, LONG-RANGE FORCES, CRITICAL WETTING 49 0 6 .4. THREE DIMENSIONS, SHORT-RANGE FORCES, COMPLETE WETTING 49 1 6 .5. THREE DIMENSIONS, SHORT-RANGE FORCES, CRITICAL AND FIRST-ORDER WETTING 49 1 6 .6. TWO-DIMENSIONAL SYSTEMS 49 3 6 .7. EXPERIMENT RELEVANT TO THE CAHN ARGUMENT 49 3 6.8. SUMMARY AND OUTLOOK 49 5 REFERENCES 49 6 COURSE 10 . STUDY OF WETTING AND ADSORPTION PHENOMENA AT FLUI D AND FLUID MIXTURE INTERFACES , BY D. BEYSENS 499 1. INTRODUCTION 502 2. PHENOMENA AND MODELS 505 2.1. THE CAHN ARGUMENT 505 2.2. THE OTHER MODELS 506 2.3. CRITICAL ADSORPTION 508 2.4. NON-STANDARD GEOMETRIES 51 0 2.4.1. CAPILLARY CONDENSATION 51 0 2.4.2. CURVED SUBSTRATES 51 3 2.4.3. ROUGHNESS 51 4 2 .5. DYNAMICS PROBLEMS 51 4 2 .6. REAL SYSTEMS 51 6 3. EXPERIMENTAL METHODS 51 6 3 .1. CONTACT ANGLE, CAPILLARY RISE 51 8 3 .2. MICROBALANCE 520 3 .3. ELECTROMAGNETIC WAVES 52 1 3 .3 .1. INTERFEROMETRY 522 3 .3 .2. CHANGE OF REFLECTIVITY 52 3 3 .3.3. DEPOLARIZATION OF REFLECTED LIGHT: ELLIPSOMETRY 52 5 3 .3.4. GUIDED AND EVANESCENT WAVES AND LIGHT SPECTROSCOPY 526 3 .3.5. SECOND HARMONIC GENERATION 528 3.4. SYSTEMS WITH A VERY LARGE SPECIFIC AREA 528 3 .4.1. POROUS MEDIUM 528 3 .4.2. COLLOIDS 529 4. EXPERIMENTAL RESULTS 53 1 4.1. WETTING (TWO-PHASE FLUID REGION) 53 1 4.1 .1. GAS-LIQUID SYSTEMS 53 1 4.1 .2. BINARY FLUIDS 53 3 4.2. ADSORPTION (ONE-PHASE FLUID REGION) 537 4.2.1. CRITICAL ADSORPTION 53 7 4.2.2. PREWETTING 540 4.2.3. RELATED PROBLEMS 542 4.3. DYNAMICS 542 4.3 .1. COMPLETE WETTING 542 4.3 .2. INCOMPLETE WETTING 54 3 4.3 .3. SPREADING 54 5 REFERENCES 546 COURSE 11 . PATTERN FORMATION, AN EXPERIMENTAL OVERVIEW , BY A . LIBCHABER 549 THE SAFFMAN-TAYLOR EXPERIMENT 55 1 THE MULLINS-SEKERKA INSTABILITY 554 REFERENCES 559 COURSE 13 . THE MOTION OF A CURVED INTERFACE, BY P. PELCE 561 1. INTRODUCTION 564 1 .1. EXAMPLES OF INTERFACE PROPAGATION 564 1 .2. THE FREE BOUNDARY PROBLEMS 566 1 .2 .1. THE ST FREE BOUNDARY PROBLEM 566 1 .2 .2. THE DG PROBLEM 567 2. LINEAR STABILITY ANALYSIS OF THE PLANAR INTERFACE 569 2 .1. THE ST INTERFACE 569 2 .2. THE DG PROBLEM 570 3. SHAPES WITHOUT SURFACE TENSION 572 3 .1. THE ST PROBLEM 572 3 .1 .1. THE ST FINGER 572 3 .1 .2. THE PETAL SHAPE 574 3 .2. THE DG PROBLEM 576 3 .2 .1. GROWTH IN A PURE LIQUID 576 3 .2 .2. EFFECT OF IMPURITIES 578 3 .2 .3. EFFECT OF A FORCED FLOW 578 3 .2 .4. CRYSTAL GROWING IN A CHANNEL AT SMALL PECLET NUMBER 580 4. EFFECT OF SURFACE TENSION 58 1 4.1 . DIMENSIONLESS PARAMETERS 581 4 .2. PERTURBATION EXPANSION 58 3 4.2 .1. THE ST PROBLEM 58 3 4.2 .2. THE DG PROBLEM 587 4.2 .3. CRYSTAL IN A CAPILLARY 589 REFERENCES 590 SEMINAR 1. DENSITY FUNCTIONAL THEORY OF FREEZING; APPLICATION TO COLLOIDAL SYSTEMS, BY J.P. HANSEN 593 SEMINAR 2. PHOSPHOLIPID MONOLAYER PHASE TRANSITIONS AND CONTROL OF DOMAIN MORPHOLOGY AT THE FLUID/GEL TRANSITION, BY M. LOESCHE 595 SEMINAR 3 . DYNAMICS OF THIN LIQUID FILMS STUDIED BY LASER LIGH T SCATTERING, BY T.G.H. JOOSTEN 599 INTRODUCTION 600 THEORY 602 INTERACTION FORCES IN SOAP FILMS 602 LIGHT SCATTERING 605 EXPERIMENTS 608 EXPERIMENTAL SET-UP 608 MATERIALS AND METHODS 608 THICKNESS MEASUREMENTS 608 RESULTS AND DISCUSSION 609 BENDING MODE 60 9 SQUEEZING MODE 610 STATIC LIGHT SCATTERING EXPERIMENTS 61 2 EQUILIBRIUM THICKNESS 61 5 REFERENCES 61 7 61 8 SEMINAR 4. LOW TEMPERATURE TRANSMISSION ELECTRON MICROSCOPY OF COLLOIDAL SYSTEMS, BY Y. TALMON 621 SEMINAR 5 . INTERFACE BETWEEN ULTRA-THIN LIQUID LAYERS OF 3HE-4HE MIXTURES, BY J.P. LAHEURTE 627 SEMINAR 6 . SURFACE PREMELTING, BY J. SUZANNE 629 SEMINAR 7 . ORDER ELECTRICITY, SURFACE ORIENTATION AND PHASE TRANSITIONS IN LIQUID CRYSTALS, BY G . DURAND 633 SEMINAR 8. ADHERENCE DES SOLIDES , BY D. MAUGIS 635 SEMINAR 9. COUPLING BETWEEN SOLIDIFICATION FRONT INSTABILITIES AN D HYDRODYNAMICS: SOME SIMPLE EXAMPLES, BY C . CAROLI 639 SEMINAR 10. IMMISCIBLE DISPLACEMENTS IN POROUS MEDIA : 2-DIMENSIONAL NUMERICAL MODELS AND EXPERIMENTS , BY R. LENORMAND 641
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genre (DE-588)1071861417 Konferenzschrift 1988 Les Houches gnd-content
genre_facet Konferenzschrift 1988 Les Houches
id DE-604.BV004464269
illustrated Illustrated
indexdate 2024-12-23T11:17:31Z
institution BVB
institution_GND (DE-588)5048883-1
isbn 0444884505
language English
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-002767363
oclc_num 260154243
open_access_boolean
owner DE-12
DE-91G
DE-BY-TUM
DE-703
DE-83
owner_facet DE-12
DE-91G
DE-BY-TUM
DE-703
DE-83
physical XXXV, 643 S. Ill.
publishDate 1990
publishDateSearch 1990
publishDateSort 1990
publisher North-Holland
record_format marc
series École d'Été de Physique Théorique <LesHouches>: Session
series2 École d'Été de Physique Théorique <LesHouches>: Session
spellingShingle Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces
École d'Été de Physique Théorique <LesHouches>: Session
Flüssigkeit (DE-588)4017621-6 gnd
Grenzfläche (DE-588)4021991-4 gnd
subject_GND (DE-588)4017621-6
(DE-588)4021991-4
(DE-588)1071861417
title Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces
title_alt Liquids at interfaces
title_auth Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces
title_exact_search Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces
title_full Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces éd. par J. Charvolin ...
title_fullStr Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces éd. par J. Charvolin ...
title_full_unstemmed Liquides aux interfaces Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces éd. par J. Charvolin ...
title_short Liquides aux interfaces
title_sort liquides aux interfaces les houches 30 mai 24 juin 1988 liquids at interfaces
title_sub Les Houches, 30 mai - 24 juin 1988 = Liquids at interfaces
topic Flüssigkeit (DE-588)4017621-6 gnd
Grenzfläche (DE-588)4021991-4 gnd
topic_facet Flüssigkeit
Grenzfläche
Konferenzschrift 1988 Les Houches
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002767363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000022608
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