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Volumn 63, Issue 4, 2001, Pages

Realistic calculation of the low- and high-density liquid phase separation in a charged colloidal dispersion

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; BROWNIAN MOVEMENT; COAGULATION; COLLOIDS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PHASE SEPARATION; POLYSTYRENES; VAN DER WAALS FORCES;

EID: 0012641368     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.041511     Document Type: Article
Times cited : (17)

References (42)
  • 13
    • 37049093725 scopus 로고
    • There are errors in the appendix of the second reference; the α(η) should have a numeric constant four in the first integral, and the second, third, and fourth integrals all should be corrected by a minus sign in front
    • J. M. VictorJ. P. HansenJ. Chem. Soc., Faraday Trans. 2 81, 43 (1985). There are errors in the appendix of the second reference; the α(η) should have a numeric constant four in the first integral, and the second, third, and fourth integrals all should be corrected by a minus sign in front.
    • (1985) J. Chem. Soc., Faraday Trans. 2 , vol.81 , pp. 43
    • Victor, J.M.1    Hansen, J.P.2
  • 15
    • 0039052743 scopus 로고    scopus 로고
    • for a general description] giving rise to different ranges of attractive forces. Since the mechanism leading to the attraction varies with physical systems under different physical conditions and is still not fully understood or may be even controversial, we confine our calculations to only the van der Waals kind of attraction. Note that, depending on the colloidal conditions, the range of the London–van der Waals attraction for charged colloids may be short ranged but it is of a somewhat different nature from those extremely short-ranged attractions that are shown theoretically
    • Here we are concerned with the second minimum of (Formula presented) whose interaction strength comes solely from the London-van der Waals attraction. The physical origin and the range of the latter attraction are somewhat different from many other mechanisms [see Löwen, Physica A 235, 129 (1997) for a general description] giving rise to different ranges of attractive forces. Since the mechanism leading to the attraction varies with physical systems under different physical conditions and is still not fully understood or may be even controversial, we confine our calculations to only the van der Waals kind of attraction. Note that, depending on the colloidal conditions, the range of the London–van der Waals attraction for charged colloids may be short ranged but it is of a somewhat different nature from those extremely short-ranged attractions that are shown theoretically
    • (1997) Physica A , vol.235 , pp. 129
    • Löwen, L.1
  • 17
    • 0000366714 scopus 로고
    • computer simulation studies
    • C. F. Tejero, Phys. Rev. Lett. 73, 752 (1994)] and in computer simulation studies
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 752
    • Tejero, C.F.1
  • 19
    • 0000206505 scopus 로고
    • to lead to a different type of phase transition—the isostructural solid-solid transition
    • P. Bolhuis and D. Frenkel, Phys. Rev. Lett. 72, 2211 (1994)] to lead to a different type of phase transition—the isostructural solid-solid transition.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2211
    • Bolhuis, P.1    Frenkel, D.2
  • 26
    • 0001591651 scopus 로고    scopus 로고
    • and
    • We have not included the additional contributions coming from the so-called volume terms. The reason is that under an excess salt condition (∼0.01 M) these volume terms are small or nearly constant and would be inconsequential [see, for example, R. van Roij and J. P. Hansen, Phys. Rev. E 59, 2010 (1999) and
    • (1999) Phys. Rev. E , vol.59 , pp. 2010
    • van Roij, R.1    Hansen, J.P.2
  • 27
    • 0000577221 scopus 로고    scopus 로고
    • the calculated phase separation boundary of the low- and high-density liquids. Several early
    • R. van Roij and R. Evans, J. Phys.: Condens. Matter 11, 10047 (1999)] in the calculated phase separation boundary of the low- and high-density liquids. Several early
    • (1999) J. Phys.: Condens. Matter , vol.11 , pp. 10047
    • van Roij, R.1    Evans, R.2
  • 35
    • 0000507760 scopus 로고    scopus 로고
    • works have given rather lengthy discussions on the consequence of these volume terms, but in one way or another these studies have shown that their effects are seen to be significant mainly at extremely low electrolyte concentrations (∼μM). The interested readers are referred to these works for further details
    • P. B. Warren, J. Chem. Phys. 112, 4683 (2000)] works have given rather lengthy discussions on the consequence of these volume terms, but in one way or another these studies have shown that their effects are seen to be significant mainly at extremely low electrolyte concentrations (∼μM). The interested readers are referred to these works for further details.
    • (2000) J. Chem. Phys. , vol.112 , pp. 4683
    • Warren, P.B.1
  • 37
    • 85035248649 scopus 로고    scopus 로고
    • J. Th. G. Overbeek, Colloid Science, edited by H. R. Kruyt (Elsevier, Amsterdam, 1948)
    • J. Th. G. Overbeek, Colloid Science, edited by H. R. Kruyt (Elsevier, Amsterdam, 1948).
  • 38
    • 85035276484 scopus 로고    scopus 로고
    • Contrary to the remark made by Victor and Hansen 12, we find the stipulation of the potential barrier (Formula presented) sensitive to the results predicted. For example, we obtain a (Formula presented) (see the discussion below) lower by about 500 Å if we choose (Formula presented) (Formula presented)
    • Contrary to the remark made by Victor and Hansen 12, we find the stipulation of the potential barrier (Formula presented) sensitive to the results predicted. For example, we obtain a (Formula presented) (see the discussion below) lower by about 500 Å if we choose (Formula presented) (Formula presented)
  • 41
    • 85035282991 scopus 로고    scopus 로고
    • This (Formula presented) is compatible with the experimental data of Watillon and Joseph-Petit 21. Employing their measured data (Formula presented) Å, (Formula presented) J, (Formula presented) mV, and (Formula presented) for the aqueous polystyrene lattices, we have checked that the average (Formula presented) for different concentrations of (Formula presented) is located approximately at (Formula presented) which is reasonably close to the value expected for the (Formula presented) range
    • This (Formula presented) is compatible with the experimental data of Watillon and Joseph-Petit 21. Employing their measured data (Formula presented) Å, (Formula presented) J, (Formula presented) mV, and (Formula presented) for the aqueous polystyrene lattices, we have checked that the average (Formula presented) for different concentrations of (Formula presented) is located approximately at (Formula presented) which is reasonably close to the value expected for the (Formula presented) range.
  • 42
    • 85035255741 scopus 로고    scopus 로고
    • We base our argument on setting (Formula presented) One should bear in mind an order of approximately 500 Å for a change in setting of (Formula presented) by about (Formula presented) (see the comment in Ref. 23
    • We base our argument on setting (Formula presented) One should bear in mind an order of approximately 500 Å for a change in setting of (Formula presented) by about (Formula presented) (see the comment in Ref. 23).


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