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0343510028
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12
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Ajdari, A.1
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Leibler, L.4
Viovy, J.-L.5
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13
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0343446065
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Rubinstein, M.1
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Leibler, L.3
Brochard-Wyart, F.4
De Gennes, P.G.5
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16
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0024057280
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Macromolecules 21 (1988) 2610.
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17
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0001173873
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Skvortsov A.M., Gorbunov A.A., Pavlushkov I.V., Zhulina E.B., Borisov O.V. and Priamitsyn V.A., Vysokomol. Soedin. A 30 (1988) 1615;
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Skvortsov, A.M.1
Gorbunov, A.A.2
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19
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36449004588
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Wittmer, J.1
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20
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0009757544
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21
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33748734713
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note
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This result can be recovered by setting f = 1 (or f = 0) and γ̇ = 0, and minimizing the pseudo-potential script G sign̄.
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22
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33748728799
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note
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For equilibrium layers, it happens that the Pincus blob size is equal to the mean distance between two grafted chains, but this is not true for brushes exposed to external perturbations.
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23
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33748738204
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note
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We can argue that two antagonistic effects play a role in fixing θ: for a given l, the elasticity favours low values of θ, whereas inclination is favoured by the drag force. We expect that these two effects offset each other, and hence we do not expect important variations of θ with l.
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24
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33748716141
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note
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We have not considered the prefactor in equation (19), but this might also be a function of the shear rate since the shape of the barrier is also affected by the flow, resulting in a small correction to our analysis.
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25
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33748729595
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unpublished
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For example, more detailed versions of the dual-chain model give somewhat different numerical results but the same qualitative trends (e.g. evolution toward a state of "low f values" and thus enhanced layer susceptibility in flow); Aubouy M., Harden J.L. and Cates M.E., unpublished.
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Aubouy, M.1
Harden, J.L.2
Cates, M.E.3
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26
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5844276573
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Note that the resulting situation would probably be very similar to what was proposed by Johner and Joanny (Europhys. Lett. 15 (1991) 265) in the context of studying the "bridging" of two plates by grafted chains.
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(1991)
Europhys. Lett.
, vol.15
, pp. 265
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