Landau expansion for the critical point of a polydisperse system

Journal of Chemical Physics

Volumn 118, Issue 9, 2003, Pages 4312-4320

  Rascon C ^a,b   Cates, M E ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; FREE ENERGY; INTEGRODIFFERENTIAL EQUATIONS; LAGRANGE MULTIPLIERS; PHASE DIAGRAMS; PRESSURE EFFECTS; TEMPERATURE; THERMODYNAMIC PROPERTIES;

FLORY-HUGGINS THEORY; LANDAU EXPANSION; POLYDISPERSE SYSTEMS; POLYDISPERSITY;

BINARY MIXTURES;

EID: 0037335389     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1542600     Document Type: Article

References (21)

1. P. Sollich, J. Phys. Cond. Mat. 14, R79 (2002).
2. R. Kita et al., Phys. Rev. E 58, 793 (1998)
3. R. Kita, et al., Phys. Rev. E 55, 3159 (1997)
4. R. Kita, K. Kubota, and T. Dobashi, Phys. Rev. E 56, 3213 (1997).
5. M. E. Fisher, Phys. Rev. 176, 257 (1968)
6. D. Broseta and L. Leibler, J. Chem. Phys. 90, 6652 (1989)
7. D. Broseta and L. Leibler, J. Chem. Phys. 92, 2686, (1990)
8. D. Broseta, L. Liebler, and J.-F. Joanny, Macromolecules 20, 1935 (1987).
9. N. B. Wilding and A. D. Bruce, J. Phys.: Condens. Matter 4, 3087 (1992).
10. Note that, with this definition, the ideal part of the free energy does not include the entropy of the solvent.
11. P. Sollich and M. E. Cates, Phys. Rev. Lett. 80, 1365 (1998)
12. P. B. Warren, ibid. 80, 1369 (1998)
13. P. Sollich, P. B. Warren, and M. E. Cates, Adv. Chem. Phys. 115, 265 (2001).
14. 2) for appropriate ige;1 and j≥0 (j=0 means no derivative). The first j derivatives produce a certain function of moments [via Eq. (27)]. while the following i derivatives produce terms vanishing in the monodisperse limit [via Eq. (28)].
15. 1(σ) is.
16. For this reason, we think claims to have found a polydisperse system in which the critical point resides at (rather than near) the maximum temperature of coexistence (Ref. 10) require justification on stronger grounds than numerics.
17. L. Bellier-Castella, H. Xu, and M. Baus, J. Chem. Phys. 113, 8337 (2000).
18. For this reason, we think claims to have found a polydisperse system in which the critical point resides at (rather than near) the maximum pressure of coexistence (Ref. 10) require justification on stronger grounds than numerics.
19. R. M. L. Evans, D. J. Fairhurst, and W. C. K. Poon, Phys. Rev. Lett. 81, 1326 (1998)
20. R. M. L. Evans, Phys. Rev. E 59, 3192 (1999)
21. R. M. L. Evans, J. Chem. Phys. 114, 1915 (2001).