Adsorption of multiblock copolymers at interfaces between selective solvents: Single-chain properties

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 1, 1996, Pages 905-920

  Sommer, J U ^a   Daoud, M ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; FREE ENERGY; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); MONOMERS; PERTURBATION TECHNIQUES; PHASE DIAGRAMS; SOLVENTS;

MULTIBLOCK COPOLYMERS; PERTURBATION EXPANSION; RENORMALIZATION PROCEDURE; SELECTIVE SOLVENTS; SHARP INTERFACE POTENTIAL; SINGLE CHAIN PROPERTIES; SMOOTH INTERFACE POTENTIAL;

BLOCK COPOLYMERS;

EID: 0029710364     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.905     Document Type: Article

References (12)

1. Copolymers consisting of hydrophylic and hydrophobic monomers dissolved in an oil water emulsion are a common known example.
2. The above approach produces generally a potential dependent R value: R' = R + Δ R(r) and also a coupling of the directions of two successive monomers: a(r)(ti ti+1) with ti = ri+1 - ri. In the present case of weak selectivity we neglect both of them.
3. Actually the individual block may be stretched in the saturated surface regime. That means the layer width W scales as n instead of W sim n1/2 for an unconstrained chain. However, we do not go into the details of this regime.
4. See E. Leclerc, M. Daoud and R. Douillard, Nuovo Cimento 15, 641 (1994).
5. R. Cook, D.G. Shakland and A.L. Wells, Phys. Rev. A 31, 564 (1985).
6. I.E. Tralle, Phys. Rev. A 48, 3499 (1993).
7. Note that the de Gennes approach [7] is the same as the perturbation expansion with respect to the effective adsorption potential per monomer. The reason is that the adsorption potential is considered as a weak effect that does not really deform the chain configuration. The crossover is then simply given by the condition where this approach breaks down.
8. P. G. de Gennes, Macromolecules 14, 1637 (1981).
9. E. Bouchaud and M. Daoud, J. Phys. (Paris) 48, 1991 (1987).
10. E. Eisenriegler, K. Kremer and K. Binder, J. Chem. Phys. 77, 6296 (1982).
11. This is especially interesting in the case of real chains. Here the cross over exponent φ is expected to be different for the case of penetrable and nonpenetrable interfaces, respectively.
12. J. U. Sommer, A. Halperin and M. Daoud, Macromolecules 27, 6991 (1994).