Abstract
In contrast to interdiffusion in simple liquids, interdiffusion of polymeric chains is dominated by their intertanglement and their large size. These properties profoundly reduce both the molecular mobilities and the role of entropy in driving the mixing. The resulting diffusional processes have only recently been studied. Such studies reveal a wide spectrum of behavior ranging from accelerated interdiffusion (for strongly compatible chains) to its suppression below the critical point for phase separation. Effects that are still poorly understood include the initial disposition at interfaces of the chains' ends (through which diffusion proceeds by reptation) and the need for cooperative motion, which can strongly magnify local friction.
References
75
Referenced
102
-
BATES, F.S., CRITICAL-BEHAVIOR OF BINARY-LIQUID MIXTURES OF DEUTERATED AND PROTONATED POLYMERS, PHYSICAL REVIEW LETTERS 55: 2425 (1985).
(
10.1103/PhysRevLett.55.2425
) / PHYSICAL REVIEW LETTERS (1985) -
BATES, F.S., ISOTOPE-INDUCED QUANTUM-PHASE TRANSITIONS IN THE LIQUID-STATE, PHYSICAL REVIEW LETTERS 57: 1429 (1986).
(
10.1103/PhysRevLett.57.1429
) / PHYSICAL REVIEW LETTERS (1986) - Binder K. Encyclopedia of Polymer Science and Engineering 2 297 (1989).
-
BINDER, K, COLLECTIVE DIFFUSION, NUCLEATION, AND SPINODAL DECOMPOSITION IN POLYMER MIXTURES, JOURNAL OF CHEMICAL PHYSICS 79: 6387 (1983).
(
10.1063/1.445747
) / JOURNAL OF CHEMICAL PHYSICS (1983) - Bird R. B. Transport Phenomena (1960).
-
BROCHARD, F, EUROPHYSICS LETTERS 1: 221 (1986).
(
10.1209/0295-5075/1/5/004
) / EUROPHYSICS LETTERS (1986) -
BROCHARD, F, POLYMER POLYMER DIFFUSION IN MELTS, MACROMOLECULES 16: 1638 (1983).
(
10.1021/ma00244a016
) / MACROMOLECULES (1983) - Brochard-Wyart, F., Fundamentals of Adhesion: 243 (1988). / Fundamentals of Adhesion (1988)
- Brochard-Wyart, F., Molecular Conformation and Dynamics of Macromolecules in Condensed Systems: 249 (1988). / Molecular Conformation and Dynamics of Macromolecules in Condensed Systems (1988)
-
BUCKINGHAM, A. D., JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS 18: 853 (1980).
(
10.1002/pol.1980.180180416
) / JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS (1980) -
BUECHE, F, THE MEASUREMENT OF SELF-DIFFUSION IN SOLID POLYMERS, JOURNAL OF CHEMICAL PHYSICS 20: 1956 (1952).
(
10.1063/1.1700348
) / JOURNAL OF CHEMICAL PHYSICS (1952) - CHALYKH, A.Y., POLYMER SCIENCE U.S.S.R. 21: 1835 (1980). / POLYMER SCIENCE U.S.S.R. (1980)
-
CHALYKH, A. Y., POLYMER SCIENCE U.S.S.R. 25: 2579 (1983).
(
10.1016/0032-3950(83)90197-1
) / POLYMER SCIENCE U.S.S.R. (1983) -
CHATURVEDI, U.K., STRUCTURE AT POLYMER INTERFACES DETERMINED BY HIGH-RESOLUTION NUCLEAR-REACTION ANALYSIS, APPLIED PHYSICS LETTERS 56: 1228 (1990).
(
10.1063/1.103332
) / APPLIED PHYSICS LETTERS (1990) -
CHATURVEDI, U.K., INTERFACIAL STRUCTURE IN POLYMER MIXTURES BELOW THE CRITICAL-POINT, PHYSICAL REVIEW LETTERS 63: 616 (1989).
(
10.1103/PhysRevLett.63.616
) / PHYSICAL REVIEW LETTERS (1989) -
COMPOSTO, R.J., FAST MACROMOLECULES CONTROL MUTUAL DIFFUSION IN POLYMER BLENDS, NATURE 328: 234 (1987).
(
10.1038/328234a0
) / NATURE (1987) -
COMPOSTO, R.J., FAST MUTUAL DIFFUSION IN POLYMER BLENDS, PHYSICAL REVIEW LETTERS 57: 1312 (1986).
(
10.1103/PhysRevLett.57.1312
) / PHYSICAL REVIEW LETTERS (1986) -
COULON, G, SURFACE-INDUCED ORIENTATION OF SYMMETRIC, DIBLOCK COPOLYMERS - A SECONDARY ION MASS-SPECTROMETRY STUDY, MACROMOLECULES 22: 2581 (1989).
(
10.1021/ma00196a006
) / MACROMOLECULES (1989) - CVRANK J MATH DIFFUSION (1975).
-
DAOUD, M, SOME REMARKS ON THE DYNAMICS OF POLYMER MELTS, JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS 17: 1971 (1979).
(
10.1002/pol.1979.180171113
) / JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS (1979) - DARKEN, L.S., DIFFUSION, MOBILITY AND THEIR INTERRELATION THROUGH FREE ENERGY IN BINARY METALLIC SYSTEMS, TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS 175: 184 (1948). / TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS (1948)
- DEGENNES, P.G., FORMATION OF A DIFFUSE INTERFACE BETWEEN 2 POLYMERS, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II 308: 13 (1989). / COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II (1989)
- DEGENNES, P.G., ELECTROPHORETIC MOBILITY OF RIGID POLYIONS IN A GEL, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II 294: 827 (1982). / COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II (1982)
-
DEGENNES, P.G., REPTATION OF A POLYMER CHAIN IN PRESENCE OF FIXED OBSTACLES, JOURNAL OF CHEMICAL PHYSICS 55: 572 (1971).
(
10.1063/1.1675789
) / JOURNAL OF CHEMICAL PHYSICS (1971) -
DEGENNES, P.G., DYNAMICS OF FLUCTUATIONS AND SPINODAL DECOMPOSITION IN POLYMER BLENDS, JOURNAL OF CHEMICAL PHYSICS 72: 4756 (1980).
(
10.1063/1.439809
) / JOURNAL OF CHEMICAL PHYSICS (1980) - DEGENNES P.G. SCALING CONCEPTS POL (1979).
-
DOI, M, DYNAMICS OF CONCENTRATED POLYMER SYSTEMS .1. BROWNIAN-MOTION IN EQUILIBRIUM STATE, JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II 74: 1789 (1978).
(
10.1039/F29787401789
) / JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II (1978) -
DOI, M, DYNAMICS OF CONCENTRATED POLYMER SYSTEMS .2. MOLECULAR-MOTION UNDER FLOW, JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II 74: 1802 (1978).
(
10.1039/F29787401802
) / JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II (1978) -
DOI, M, DYNAMICS OF CONCENTRATED POLYMER SYSTEMS .3. CONSTITUTIVE EQUATION, JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II 74: 1818 (1978).
(
10.1039/F29787401818
) / JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II (1978) - DOI M THEORY POLYM DYNAMIC (1986).
-
EDWARDS, S.F., THEORY OF RUBBER ELASTICITY, BRITISH POLYMER JOURNAL 9: 140 (1977).
(
10.1002/pi.4980090209
) / BRITISH POLYMER JOURNAL (1977) -
EDWARDS, S.F., STATISTICAL MECHANICS OF POLYMERIZED MATERIAL, PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON 92: 9 (1967).
(
10.1088/0370-1328/92/1/303
) / PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON (1967) -
FERNANDEZ, M.L., NEUTRON REFLECTION INVESTIGATION OF THE INTERFACE BETWEEN AN IMMISCIBLE POLYMER PAIR, POLYMER 29: 1923 (1988).
(
10.1016/0032-3861(88)90162-0
) / POLYMER (1988) - FERRY J.D. VISCOELASTIC PROPERT (1980).
- FLORY P.J. PRINCIPLES POLYM CHE (1953).
-
GEE, G, GLASSY STATE IN POLYMERS, CONTEMPORARY PHYSICS 11: 313 (1970).
(
10.1080/00107517008204410
) / CONTEMPORARY PHYSICS (1970) -
GELMAN, R.A., COLLAGEN FIBRIL FORMATION INVITRO - A QUASI-ELASTIC LIGHT-SCATTERING STUDY OF EARLY STAGES, JOURNAL OF BIOLOGICAL CHEMISTRY 255: 8098 (1980).
(
10.1016/S0021-9258(19)70613-9
) / JOURNAL OF BIOLOGICAL CHEMISTRY (1980) -
GRAESSLEY, W.W., ENTANGLED LINEAR, BRANCHED AND NETWORK POLYMER SYSTEMS - MOLECULAR THEORIES, ADVANCES IN POLYMER SCIENCE 47: 67 (1982).
(
10.1007/BFb0038532
) / ADVANCES IN POLYMER SCIENCE (1982) - GRAESSLEY, W.W., MOL CONFORMATION DYN: 163 (1988). / MOL CONFORMATION DYN (1988)
-
GREEN, P.F., THERMODYNAMIC SLOWING DOWN OF MUTUAL DIFFUSION IN ISOTOPIC POLYMER MIXTURES, MACROMOLECULES 20: 2471 (1987).
(
10.1021/ma00176a025
) / MACROMOLECULES (1987) -
GREEN, P.F., LIMITS OF REPTATION IN POLYMER MELTS, PHYSICAL REVIEW LETTERS 53: 2145 (1984).
(
10.1103/PhysRevLett.53.2145
) / PHYSICAL REVIEW LETTERS (1984) -
GREEN, P.F., ISOTOPE EFFECTS ON INTERDIFFUSION IN BLENDS OF NORMAL AND DEUTERATED POLYMERS, PHYSICAL REVIEW LETTERS 57: 2407 (1986).
(
10.1103/PhysRevLett.57.2407
) / PHYSICAL REVIEW LETTERS (1986) -
HARDEN, J.L., KINETICS OF INTERFACE FORMATION BETWEEN WEAKLY INCOMPATIBLE POLYMER BLENDS, JOURNAL DE PHYSIQUE 51: 1777 (1990).
(
10.1051/jphys:0199000510160177700
) / JOURNAL DE PHYSIQUE (1990) -
HASHIMOTO, T, DOMAIN-BOUNDARY STRUCTURE OF STYRENE-ISOPRENE BLOCK CO-POLYMER FILMS CAST FROM SOLUTION .4. MOLECULAR-WEIGHT DEPENDENCE OF LAMELLAR MICRODOMAINS, MACROMOLECULES 13: 1237 (1980).
(
10.1021/ma60077a040
) / MACROMOLECULES (1980) -
HELFAND, E, THEORY OF UNSYMMETRIC POLYMER-POLYMER INTERFACES, JOURNAL OF CHEMICAL PHYSICS 62: 1327 (1975).
(
10.1063/1.430632
) / JOURNAL OF CHEMICAL PHYSICS (1975) -
JONES, RAL, MUTUAL DIFFUSION IN A MISCIBLE POLYMER BLEND, NATURE 321: 161 (1986).
(
10.1038/321161a0
) / NATURE (1986) - JONES RAL THESIS CAMBRIDGE U C (1987).
- JONES RAL unpublished data.
-
JORDAN, E.A., MUTUAL DIFFUSION IN BLENDS OF LONG AND SHORT ENTANGLED POLYMER-CHAINS, MACROMOLECULES 21: 235 (1988).
(
10.1021/ma00179a045
) / MACROMOLECULES (1988) -
KANETAKIS, J, MUTUAL DIFFUSION IN A COMPATIBLE MIXTURE OF UNENTANGLED POLYMERS - VARIATION WITH MOLECULAR-WEIGHT, JOURNAL OF CHEMICAL PHYSICS 87: 5048 (1987).
(
10.1063/1.453671
) / JOURNAL OF CHEMICAL PHYSICS (1987) -
KAUSCH, H.H., POLYMER INTERDIFFUSION, ANNUAL REVIEW OF MATERIALS SCIENCE 19: 341 (1989).
(
10.1146/annurev.ms.19.080189.002013
) / ANNUAL REVIEW OF MATERIALS SCIENCE (1989) - KIRKENDALL, E.O., Diffusion of zinc in alpha brass, TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS 147: 104 (1942). / TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS (1942)
-
KLEIN, J, SELF-DIFFUSION OF POLYMERS, CONTEMPORARY PHYSICS 20: 611 (1979).
(
10.1080/00107517908210929
) / CONTEMPORARY PHYSICS (1979) - KLEIN, J, ENCY POLYM SCI ENG: 205 (1987). / ENCY POLYM SCI ENG (1987)
-
KLEIN, J, ONSET OF ENTANGLED BEHAVIOR IN SEMIDILUTE AND CONCENTRATED POLYMER-SOLUTIONS, MACROMOLECULES 11: 852 (1978).
(
10.1021/ma60065a002
) / MACROMOLECULES (1978) -
KLEIN, J, EVIDENCE FOR REPTATION IN AN ENTANGLED POLYMER MELT, NATURE 271: 143 (1978).
(
10.1038/271143a0
) / NATURE (1978) - KLEIN, J, DIFFUSION OF LONG-CHAIN MOLECULES THROUGH BULK POLYETHELENE, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 365: 53 (1979). / PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (1979)
-
KRAMER, E.J., INTERDIFFUSION AND MARKER MOVEMENTS IN CONCENTRATED POLYMER POLYMER DIFFUSION COUPLES, POLYMER 25: 473 (1984).
(
10.1016/0032-3861(84)90205-2
) / POLYMER (1984) -
LEIBLER, L, THEORY OF PHASE-EQUILIBRIA IN MIXTURES OF COPOLYMERS AND HOMOPOLYMERS .2. INTERFACES NEAR THE CONSOLUTE POINT, MACROMOLECULES 15: 1283 (1982).
(
10.1021/ma00233a014
) / MACROMOLECULES (1982) -
LERMAN, L.S., WHY DOES THE ELECTROPHORETIC MOBILITY OF DNA IN GELS VARY WITH THE LENGTH OF THE MOLECULE, BIOPOLYMERS 21: 995 (1982).
(
10.1002/bip.360210511
) / BIOPOLYMERS (1982) -
LUMPKIN, O.J., MOBILITY OF DNA IN GEL-ELECTROPHORESIS, BIOPOLYMERS 21: 2315 (1982).
(
10.1002/bip.360211116
) / BIOPOLYMERS (1982) -
MILLS, P.J., ANALYSIS OF DIFFUSION IN POLYMERS BY FORWARD RECOIL SPECTROMETRY, APPLIED PHYSICS LETTERS 45: 957 (1984).
(
10.1063/1.95456
) / APPLIED PHYSICS LETTERS (1984) - OLABISI O POLYM POLYM MISCIBIL (1979).
- PAUL D.R. POLYM BLENDS (1978).
-
PEARSON, D.S., RECENT ADVANCES IN THE MOLECULAR ASPECTS OF POLYMER VISCOELASTICITY, RUBBER CHEMISTRY AND TECHNOLOGY 60: 439 (1987).
(
10.5254/1.3536138
) / RUBBER CHEMISTRY AND TECHNOLOGY (1987) -
PINCUS, P, DYNAMICS OF FLUCTUATIONS AND SPINODAL DECOMPOSITION IN POLYMER BLENDS .2., JOURNAL OF CHEMICAL PHYSICS 75: 1996 (1981).
(
10.1063/1.442226
) / JOURNAL OF CHEMICAL PHYSICS (1981) - PRICE, F.P., J POLYM SCI PS 63: 33 (1978). / J POLYM SCI PS (1978)
-
PRICE, F.P., MACROMOLECULES 13: 880 (1980).
(
10.1021/ma60076a022
) / MACROMOLECULES (1980) -
Reiter, G., Macromolecules 24: 1179 (1991).
(
10.1021/ma00005a032
) / Macromolecules (1991) - ROWLINSON J.S. LIQUIDS LIQUID MIXTU (1969).
-
RUSSELL, T.P., SPECULAR REFLECTIVITY OF NEUTRONS BY THIN POLYMER-FILMS, MACROMOLECULES 21: 1890 (1988).
(
10.1021/ma00184a066
) / MACROMOLECULES (1988) -
SILLESCU, H, RELATION OF INTERDIFFUSION AND SELF-DIFFUSION IN POLYMER MIXTURES, MAKROMOLEKULARE CHEMIE-RAPID COMMUNICATIONS 5: 519 (1984).
(
10.1002/marc.1984.030050906
) / MAKROMOLEKULARE CHEMIE-RAPID COMMUNICATIONS (1984) -
SOKOLOV, J, ENRICHMENT DEPTH PROFILES IN POLYMER BLENDS MEASURED BY FORWARD RECOIL SPECTROMETRY, APPLIED PHYSICS LETTERS 54: 590 (1989).
(
10.1063/1.100888
) / APPLIED PHYSICS LETTERS (1989) -
STEINER, U, DYNAMICS OF MIXING BETWEEN PARTIALLY MISCIBLE POLYMERS, PHYSICAL REVIEW LETTERS 64: 1119 (1990).
(
10.1103/PhysRevLett.64.1119
) / PHYSICAL REVIEW LETTERS (1990) -
TIRRELL, M, POLYMER SELF-DIFFUSION IN ENTANGLED SYSTEMS, RUBBER CHEMISTRY AND TECHNOLOGY 57: 523 (1984).
(
10.5254/1.3536019
) / RUBBER CHEMISTRY AND TECHNOLOGY (1984)
Dates
Type | When |
---|---|
Created | 18 years, 10 months ago (Oct. 5, 2006, 6:10 p.m.) |
Deposited | 1 year, 7 months ago (Jan. 12, 2024, 10:18 a.m.) |
Indexed | 1 year ago (Aug. 9, 2024, 5:09 p.m.) |
Issued | 34 years, 9 months ago (Nov. 2, 1990) |
Published | 34 years, 9 months ago (Nov. 2, 1990) |
Published Print | 34 years, 9 months ago (Nov. 2, 1990) |
@article{Klein_1990, title={The Interdiffusion of Polymers}, volume={250}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.250.4981.640}, DOI={10.1126/science.250.4981.640}, number={4981}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Klein, Jacob}, year={1990}, month=nov, pages={640–646} }