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Gotoh, K.1
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Abe, K.3
Tagawa, M.4
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13
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37049093725
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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
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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.
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Victor, J.M.1
Hansen, J.P.2
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15
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0039052743
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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
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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
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Physica A
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, pp. 129
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Löwen, L.1
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17
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0000366714
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computer simulation studies
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C. F. Tejero, Phys. Rev. Lett. 73, 752 (1994)] and in computer simulation studies
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Tejero, C.F.1
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19
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0000206505
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to lead to a different type of phase transition—the isostructural solid-solid transition
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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.
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Phys. Rev. Lett.
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Bolhuis, P.1
Frenkel, D.2
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25
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0343090262
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J. P. Hansen, L. Reatto, M. Tau, and J. M. Victor, Mol. Phys. 56, 385 (1985).
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Hansen, J.P.1
Reatto, L.2
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Victor, J.M.4
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0001591651
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and
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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
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(1999)
Phys. Rev. E
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van Roij, R.1
Hansen, J.P.2
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27
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0000577221
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the calculated phase separation boundary of the low- and high-density liquids. Several early
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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
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J. Phys.: Condens. Matter
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, pp. 10047
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van Roij, R.1
Evans, R.2
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35
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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
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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.
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J. Chem. Phys.
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Warren, P.B.1
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37
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85035248649
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J. Th. G. Overbeek, Colloid Science, edited by H. R. Kruyt (Elsevier, Amsterdam, 1948)
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J. Th. G. Overbeek, Colloid Science, edited by H. R. Kruyt (Elsevier, Amsterdam, 1948).
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38
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85035276484
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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)
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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)
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41
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85035282991
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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
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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.
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42
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85035255741
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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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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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