A lattice-statistical model for ternary polymer mixtures: Exact phase diagrams

Physica A: Statistical Mechanics and its Applications

Volumn 238, Issue 1-4, 1997, Pages 149-162

  Barry, J H ^a   Pant, P ^b   Wu, F Y ^b  

^a University of Florida   (United States)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Honeycomb lattice; Ising model; Polymer mixtures; Reversible polymeric gels

Indexed keywords

FERROMAGNETISM; GELS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; MIXTURES; MONOMERS; PHASE DIAGRAMS; PHASE SEPARATION; PHASE TRANSITIONS; STATISTICAL MECHANICS;

HONEYCOMB LATTICE; ISING MODEL; POLYMER RINGS; TERNARY POLYMER MIXTURES;

POLYMERS;

EID: 0347873711     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00007-1     Document Type: Article

References (19)

1. P.J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, New York, 1953); for more recent theoretical treatments see, e.g., A.Y. Grosberg and A.R. Khokhlov, Statistical Physics of Macromolecules (American Institute of Physics (AIP) Press, New York, 1994).
2. P.J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, New York, 1953); for more recent theoretical treatments see, e.g., A.Y. Grosberg and A.R. Khokhlov, Statistical Physics of Macromolecules (American Institute of Physics (AIP) Press, New York, 1994).
3. For descriptive (non-mathematical) introductions to gels, see, e.g., T. Tanaka, Sci. Am. 244 (1981) 110; Encyclopedia of Polymer Science and Technology, 2nd ed. Vol. 7 (Wiley, New York, 1985) p. 714. Also, Reversible Polymeric Gels and Related Systems, ed. Paul S. Russo, ACS Symposium Series 350 (American Chemical Society, Washington, DC, 1987); J.F. Joanny, Physica B 156-157 (1989) 381, and references cited therein.
4. For descriptive (non-mathematical) introductions to gels, see, e.g., T. Tanaka, Sci. Am. 244 (1981) 110; Encyclopedia of Polymer Science and Technology, 2nd ed. Vol. 7 (Wiley, New York, 1985) p. 714. Also, Reversible Polymeric Gels and Related Systems, ed. Paul S. Russo, ACS Symposium Series 350 (American Chemical Society, Washington, DC, 1987); J.F. Joanny, Physica B 156-157 (1989) 381, and references cited therein.
5. For descriptive (non-mathematical) introductions to gels, see, e.g., T. Tanaka, Sci. Am. 244 (1981) 110; Encyclopedia of Polymer Science and Technology, 2nd ed. Vol. 7 (Wiley, New York, 1985) p. 714. Also, Reversible Polymeric Gels and Related Systems, ed. Paul S. Russo, ACS Symposium Series 350 (American Chemical Society, Washington, DC, 1987); J.F. Joanny, Physica B 156-157 (1989) 381, and references cited therein.
6. For descriptive (non-mathematical) introductions to gels, see, e.g., T. Tanaka, Sci. Am. 244 (1981) 110; Encyclopedia of Polymer Science and Technology, 2nd ed. Vol. 7 (Wiley, New York, 1985) p. 714. Also, Reversible Polymeric Gels and Related Systems, ed. Paul S. Russo, ACS Symposium Series 350 (American Chemical Society, Washington, DC, 1987); J.F. Joanny, Physica B 156-157 (1989) 381, and references cited therein.
7. F.Y. Wu, J. Math. Phys. 15 (1974) 687.
8. M.V. Jarić, Phys. Rev. A 28 (1983) 1179.
9. F.Y. Wu, J. Phys. A 23 (1990) 375.
10. X.N. Wu and F.Y. Wu, J. Stat. Phys. 90 (1988) 41.
11. T.D. Lee and C.N. Yang, Phys. Rev. 87 (1952) 410; J.L. Lebowitz and O. Penrose, Comm. Math. Phys. 11 (1968) 99.
12. T.D. Lee and C.N. Yang, Phys. Rev. 87 (1952) 410; J.L. Lebowitz and O. Penrose, Comm. Math. Phys. 11 (1968) 99.
13. D. Stauffer, J. Chem. Soc. Faraday Trans. 72 (1976) 1354.
14. J.W. Essam, in: Phase Transitions and Critical Phenomena, Vol. 2, eds. C. Domb and M.S. Green (Academic, London, 1972).
15. R.M.F. Houtappel, Physica 16 (1960) 425; S. Naya, Prog. Theor. Phys. 11 (1954) 53.
16. R.M.F. Houtappel, Physica 16 (1960) 425; S. Naya, Prog. Theor. Phys. 11 (1954) 53.
17. J.C. Wheeler and B. Widom, J. Chem. Phys. 52 (1970) 5334 ; A. Coniglio, H.E. Stanley and W. Klein, Phys. Rev. Lett. 42 (1979) 518; Phys. Rev. B 25 (1982) 6805.
18. J.C. Wheeler and B. Widom, J. Chem. Phys. 52 (1970) 5334 ; A. Coniglio, H.E. Stanley and W. Klein, Phys. Rev. Lett. 42 (1979) 518; Phys. Rev. B 25 (1982) 6805.
19. J.C. Wheeler and B. Widom, J. Chem. Phys. 52 (1970) 5334 ; A. Coniglio, H.E. Stanley and W. Klein, Phys. Rev. Lett. 42 (1979) 518; Phys. Rev. B 25 (1982) 6805.