Dewetting: Film Rupture by Nucleation in the Spinodal Regime

Thiele, Uwe; Velarde, Manuel G.; Neuffer, Kai

doi:10.1103/physrevlett.87.016104

Cited by 187 publications

(198 citation statements)

References 23 publications

(26 reference statements)

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“…This was confirmed by direct integration of the time evolution Eq. (7) for case (I) in [43], for case (II) in [42] and for case (III) in Section 5. Despite the restriction to a two-dimensional geometry we think that the difference of subranges (A) and (B) can also be seen in the more realistic three-dimensional geometry.…”

Section: Discussionmentioning

confidence: 99%

“…To clarify this issue, we discuss first in detail the linear stability of the periodic nucleation solutions in range (ii), and second the results of a direct integration in time performed in [42]. For a given h( we calculate the linear growth rates of disturbances to the solutions of the branch of nucleation solutions in the mixed range, (ii).…”

Section: (Ii))mentioning

confidence: 99%

“…This was shown by directly integrating the time depending Eq. (7) for disjoining pressures (I) in [43] and for disjoining pressure (II) in [42] taking as an initial condition a flat film with a localized disturbance. Here, we describe these results only verbally, but show in Section 5 detailed results for disjoining pressure (III), where the same difference is found (Figs.…”

Section: (Ii))mentioning

confidence: 99%

“…After having shown the importance of the nucleation solutions for the rupture process we further elaborate on their properties and the dependence of the system behavior on these properties. Up to this point all detailed calculations are done for the two disjoining pressures with destabilizing short-range and stabilizing long-range interactions thereby reviewing and extending the results of [42,43].…”

Section: Introductionmentioning

confidence: 99%

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On the importance of nucleation solutions for the rupture of thin liquid films

Thiele

Neuffer

Pomeau

et al. 2002

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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The process of dewetting of a thin liquid film is usually described using a long wave approximation yielding a single evolution equation for the film thickness. This equation incorporates an additional pressure term-the disjoining pressure-accounting for the effective interaction of the thin film with the substrate. We use the equation to study the evolution of unstable thin films examining the thickness ranges for linear instability and metastability for flat films, the families of stationary periodic and localized solutions and their linear stability. From this we conclude that within the linearly unstable thickness range exists a well defined subrange where finite perturbations are crucial for the time evolution and the resulting structures. In the remainder of the linearly unstable thickness range the resulting structures are controlled by the fastest flat film mode as was assumed up to now for all the linearly unstable thickness range. The results are shown for a disjoining pressure derived by coupling hydrodynamics to the diffuse interface model and for disjoining pressures combining destabilizing [stabilizing] polar short-range interaction with stabilizing [destabilizing] apolar long-range interaction. Finally, the implications for spinodal decomposition of a binary mixture are discussed.

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Section: Discussionmentioning

confidence: 99%

Section: (Ii))mentioning

confidence: 99%

Section: (Ii))mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the importance of nucleation solutions for the rupture of thin liquid films

Thiele

Neuffer

Pomeau

et al. 2002

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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“…Several instability mechanisms exist that by means of different driving forces may destabilize an initially flat film. They are described, analysed and modelled in a large number of experimental 4,5,10,11,12,13,14 and theoretical 7,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31 works. For film thicknesses d less than about 100 nm, effective molecular interactions between the film surface and the substrate dominate all the other forces, like thermo-and soluto-capillarity or gravity, and thus determine the film stability.…”

Section: Introductionmentioning

confidence: 99%

Morphology changes in the evolution of liquid two-layer films

Pototsky

Bestehorn

Merkt

et al. 2005

The Journal of Chemical Physics

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158

202

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We consider a thin film consisting of two layers of immiscible liquids on a solid horizontal (heated) substrate. Both, the free liquid-liquid and the liquid-gas interface of such a bilayer liquid film may be unstable due to effective molecular interactions relevant for ultrathin layers below 100 nm thickness, or due to temperature-gradient caused Marangoni flows in the heated case. Using a long wave approximation we derive coupled evolution equations for the interface profiles for the general non-isothermal situation allowing for slip at the substrate. Linear and nonlinear analyses of the short-and long-time film evolution are performed for isothermal ultrathin layers taking into account destabilizing long-range and stabilizing short-range molecular interactions. It is shown that the initial instability can be of a varicose, zigzag or mixed type. However, in the nonlinear stage of the evolution the mode type and therefore the pattern morphology can change via switching between two different branches of stationary solutions or via coarsening along a single branch.

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