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2
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0032582532
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See e.g., G. Reiter, Science 282, 888 (1998);
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(1998)
Science
, vol.282
, pp. 888
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Reiter, G.1
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3
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0032582533
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ScienceS. Herminghaus, 282, 916 (1998).
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(1998)
, vol.282
, pp. 916
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Herminghaus, S.1
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9
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0000400617
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For earlier work on the subject, see, A. Dupré, Ann. Chim. Phys. 11, 194 (1867).
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(1867)
Ann. Chim. Phys.
, vol.11
, pp. 194
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Dupré, A.1
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10
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0000229521
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-
For a discussion on breaking of nonuniform liquid films and threads, based on a simple equation of motion as Taylor and Culick’s one, see, J.B. Keller, Phys. Fluids 26, 3451 (1983).
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(1983)
Phys. Fluids
, vol.26
, pp. 3451
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Keller, J.B.1
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12
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36449004142
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-
The precise shape of the rim was later analysed by Keller, et al. who showed that it is a cylindrical cap expanding in time like (Formula presented) see, J.B. Keller, A. King, and L. Ting, Phys. Fluids 7, 226 (1995).
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(1995)
Phys. Fluids
, vol.7
, pp. 226
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Keller, J.B.1
King, A.2
Ting, L.3
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15
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85036232054
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-
The driving force of the dewetting process is a difference of interfacial tensions: (Formula presented) (where SL corresponds to the solid/liquid interface, SO to solid/air interface, etc…)
-
The driving force of the dewetting process is a difference of interfacial tensions: (Formula presented) (where SL corresponds to the solid/liquid interface, SO to solid/air interface, etc…).
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-
-
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16
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0000258893
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Solving numerically the Navier-Stokes equations for long wavelength modulations of the film surface, Brenner and collaborator consider the shape of the rim of a very viscous film retracting under surface tension, see M.P. Brenner and D. Gueyffier, Phys. Fluids 11, 737 (1999).
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(1999)
Phys. Fluids
, vol.11
, pp. 737
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Brenner, M.P.1
Gueyffier, D.2
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17
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0000237295
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-
For molecular simulations on the fluids dynamics of the moving rim, see, J. Koplik and J.R. Banavar, Phys. Rev. Lett. 84, 4401 (2000).
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(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4401
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Koplik, J.1
Banavar, J.R.2
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18
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0032533101
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Kinetics of growth of dry patches (during the early stages of dewetting process of microscopically thin polymer films cast on a solid surface) are simulated by molecular dynamics in: H. Liu, A. Bhattacharya, and A. Chakrabarti, J. Chem. Phys. 109, 8607 (1998).
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(1998)
J. Chem. Phys.
, vol.109
, pp. 8607
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Liu, H.1
Bhattacharya, A.2
Chakrabarti, A.3
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20
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37649026776
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For somewhat related studies, see, R. Seemann, S. Herminghaus, and K. Jacobs, Phys. Rev. Lett. 87, 196101 (2001).
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(2001)
Phys. Rev. Lett.
, vol.87
, pp. 196101
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Seemann, R.1
Herminghaus, S.2
Jacobs, K.3
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26
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0000478261
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This Wagner-type constitutive relation can also be obtained from a purely rheological approach, based on the Cox-Merz rule and Eyring’s expression for the nonlinear shear viscosity: see, J.C. Dyre, Rheol. Acta 29, 145 (1990).
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(1990)
Rheol. Acta
, vol.29
, pp. 145
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Dyre, J.C.1
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28
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85036377028
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H.A. Barnes, J.F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, New York, 1989), p. 18
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H.A. Barnes, J.F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, New York, 1989), p. 18.
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-
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29
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85036371736
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R.M. Christensen, Theory of Viscoelasticity, an Introduction 2nd ed. (Academic Press, New York, 1982), p. 53
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R.M. Christensen, Theory of Viscoelasticity, an Introduction 2nd ed. (Academic Press, New York, 1982), p. 53.
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-
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30
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85036250547
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-
order to keep the model analytically tractable, we here neglect the pressure discontinuity arising from the interface curvature. Taking this Laplace pressure into account may lead to oscillations of film profile, and may even give rise to a cascade of pinch-off events, as proposed in Ref. 20
-
In order to keep the model analytically tractable, we here neglect the pressure discontinuity arising from the interface curvature. Taking this Laplace pressure into account may lead to oscillations of film profile, and may even give rise to a cascade of pinch-off events, as proposed in Ref. 20.
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-
-
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33
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0001012295
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A theoretical approach to the spinodal dewetting is proposed in: S.A. Safran and J. Klein, J. Phys. II 3, 749 (1993).
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(1993)
J. Phys. II
, vol.3
, pp. 749
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Safran, S.A.1
Klein, J.2
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34
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0031075077
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F. Brochard-Wyart, Macromolecules 30, 1211 (1997). This exponential behavior is observed during the initial stage of process, as long as the viscous friction on the liquid/substrate interface remains negligible compared with the dissipation in the plug flow of removing fluid.
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(1997)
Macromolecules
, vol.30
, pp. 1211
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Brochard-Wyart, F.1
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35
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85036413346
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The development of (Formula presented) at small (Formula presented) shows that F does not admit a Taylor expansion near zero. This is directly due to the fact that the Cross rheological equation (4) itself is not analytical, since the second term of its development near zero is of order (Formula presented)
-
The development of (Formula presented) at small (Formula presented) shows that F does not admit a Taylor expansion near zero. This is directly due to the fact that the Cross rheological equation (4) itself is not analytical, since the second term of its development near zero is of order (Formula presented)
-
-
-
-
36
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-
85036320646
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-
It is clear that this exponential law cannot be valid for too thin films. Writing (Formula presented) (where E is an elastic modulus, and (Formula presented) is the reptation time of polymers, the relaxation time of the material), one obtains (Formula presented) with (Formula presented) which leads to a characteristic time (Formula presented) smaller than (Formula presented) if (Formula presented) the relaxation would be too fast
-
It is clear that this exponential law cannot be valid for too thin films. Writing (Formula presented) (where E is an elastic modulus, and (Formula presented) is the reptation time of polymers, the relaxation time of the material), one obtains (Formula presented) with (Formula presented) which leads to a characteristic time (Formula presented) smaller than (Formula presented) if (Formula presented) the relaxation would be too fast.
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-
-
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37
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85036342230
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G. Reiter (private communication)
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G. Reiter (private communication).
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-
-
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38
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0040357338
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On the wetting and slippage of polymer films on solid surfaces, see, F. Brochard-Wyart, Langmuir 10, 1566 (1994);
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(1994)
Langmuir
, vol.10
, pp. 1566
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-
Brochard-Wyart, F.1
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40
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0035797997
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An experimental study of the dewetting of PS from poly (methylmethacrylate) on silicon substrates as a function of film thickness was recently proposed. See, C. Wang, G. Krausch, and M. Geoghegan, Langmuir 17, 6269 (2001).
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(2001)
Langmuir
, vol.17
, pp. 6269
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Wang, C.1
Krausch, G.2
Geoghegan, M.3
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44
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85036305477
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E. Guyon, J.-P. Hulin, and L. Petit, Hydrodynamique Physique, 2nd ed. (CNRS Eds., Paris, 2001), p. 233
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E. Guyon, J.-P. Hulin, and L. Petit, Hydrodynamique Physique, 2nd ed. (CNRS Eds., Paris, 2001), p. 233.
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