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1
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0003911843
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Gelbart, W. M., Ben-Shaul, A., Roux, D., Eds.; Springer-Verlag: New York
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For general reviews, see, e.g.: Micelles, Membranes, Microemulsions, and Monolayers; Gelbart, W. M., Ben-Shaul, A., Roux, D., Eds.; Springer-Verlag: New York, 1994.
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(1994)
Micelles, Membranes, Microemulsions, and Monolayers
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10
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0025568032
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Lin, S.-Y.; McKeigue, K.; Maldarelli, C. AIChE 1990, 36, 1785.
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AIChE
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Lin, S.-Y.1
McKeigue, K.2
Maldarelli, C.3
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12
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0001271558
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For an earlier work addressing this issue, see: Fordham, S. Trans. Faraday Soc. 1954, 54, 593.
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Trans. Faraday Soc.
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, pp. 593
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Fordham, S.1
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13
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0027640896
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Bonfillon, A.; Sicoli, F.; Langevin, D. Langmuir 1993, 9, 2172.
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Langmuir
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Bonfillon, A.1
Sicoli, F.2
Langevin, D.3
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14
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0028711631
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Bonfillon, A.; Sicoli, F.; Langevin, D. J. Colloid Interface Sci. 1994, 168, 497.
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J. Colloid Interface Sci.
, vol.168
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Bonfillon, A.1
Sicoli, F.2
Langevin, D.3
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16
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0020736442
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Dukhin, S. S.; Miller, R.; Kretzschmar, G. Colloid Polym. Sci. 1983, 261, 335.
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Colloid Polym. Sci.
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Dukhin, S.S.1
Miller, R.2
Kretzschmar, G.3
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17
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0022067107
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Miller, R.; Dukhin, S. S.; Kretzschmar, G. Colloid Polym. Sci. 1985, 263, 420.
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Miller, R.1
Dukhin, S.S.2
Kretzschmar, G.3
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20
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0001148087
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For an earlier work using a similar distinction, see: Tsonopoulos, C.; Newman, J.; Prausnitz, J. M. Chem. Eng. Sci. 1971, 26, 817.
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Chem. Eng. Sci.
, vol.26
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Tsonopoulos, C.1
Newman, J.2
Prausnitz, J.M.3
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21
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85033045661
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0, as we shall do, indeed, when considering the electrostatic repulsion in section3
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0, as we shall do, indeed, when considering the electrostatic repulsion in section 3.
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23
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0003499994
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Godrèche, C., Ed.; Cambridge University Press: London
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See, for example, Langer, J. S. In Solids Far From Equilibrium; Godrèche, C., Ed.; Cambridge University Press: London, 1991.
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(1991)
Solids Far from Equilibrium
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Langer, J.S.1
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24
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85033054636
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Note that the conditions at the interface are quite different from those inside the aqueous solution, and the diffusivities, D, appearing in eqs 2.10-2.14, cannot be expected to have strictly the same value, as we have assumed here for simplicity
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Note that the conditions at the interface are quite different from those inside the aqueous solution, and the diffusivities, D, appearing in eqs 2.10-2.14, cannot be expected to have strictly the same value, as we have assumed here for simplicity.
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25
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85033058970
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This is the so-called Tauberian method for finding asymptotic expressions using the Laplace transform
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This is the so-called Tauberian method for finding asymptotic expressions using the Laplace transform.
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26
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85033055456
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7-10
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7-10
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27
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85033057151
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Note that in the discussion above we have completely neglected a third time scale - the time needed for lateral diffusion and molecular reorientation at the interface. If, however, due to certain molecular constraints, this time scale is no longer negligible, exceptions to the above conclusions are to be expected (see refs 25 and 26)
-
Note that in the discussion above we have completely neglected a third time scale - the time needed for lateral diffusion and molecular reorientation at the interface. If, however, due to certain molecular constraints, this time scale is no longer negligible, exceptions to the above conclusions are to be expected (see refs 25 and 26).
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28
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0000374056
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Joos, P.; Fang, J. P.; Serrien, G. Colloid Interface Sci. 1992, 151, 144.
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Colloid Interface Sci.
, vol.151
, pp. 144
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Joos, P.1
Fang, J.P.2
Serrien, G.3
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32
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0026173949
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Lin, S.-Y.; McKeigue, K.; Maldarelli, C. Langmuir 1991, 7, 1055.
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Langmuir
, vol.7
, pp. 1055
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Lin, S.-Y.1
McKeigue, K.2
Maldarelli, C.3
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33
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85033064194
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As we shall see, this assumption is not strictly valid, i.e., the adsorption of counterions at the interface should not be ignored. We use it here for the sake of clarity and shall return to this point later
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As we shall see, this assumption is not strictly valid, i.e., the adsorption of counterions at the interface should not be ignored. We use it here for the sake of clarity and shall return to this point later.
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39
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85033053669
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The limitation which the adsorption faces in such a case originates from the non-convexity of the interfacial free energy, i.e., it is a collective, macroscopic effect. It should not be confused with a possible potential barrier, of microscopic origin, that the surfactant may face when trying to move from the bulk to the interface. The latter can be accounted for by our model, as explained in section 2 and demonstrated in the current section for the case of an electrostatic barrier
-
The limitation which the adsorption faces in such a case originates from the non-convexity of the interfacial free energy, i.e., it is a collective, macroscopic effect. It should not be confused with a possible potential barrier, of microscopic origin, that the surfactant may face when trying to move from the bulk to the interface. The latter can be accounted for by our model, as explained in section 2 and demonstrated in the current section for the case of an electrostatic barrier.
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40
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85033042740
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(0)
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(0).
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42
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85033046712
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Since these assumptions render the profiles of the salt ions and the surfactant counterions irrelevant to the analysis of the adsorption, we omit in this section the superscript + from the variables and constants associated with the surfactant
-
Since these assumptions render the profiles of the salt ions and the surfactant counterions irrelevant to the analysis of the adsorption, we omit in this section the superscript + from the variables and constants associated with the surfactant.
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44
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0001160151
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Rasing, Th.; Stehlin, T.; Shen, Y. R.; Kim, M. W.; Valint Jr., P. J. Chem. Phys. 1988, 89, 3386.
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(1988)
J. Chem. Phys.
, vol.89
, pp. 3386
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Rasing, Th.1
Stehlin, T.2
Shen, Y.R.3
Kim, M.W.4
Valint Jr., P.5
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