Effect of thermal fluctuations on the stability of draining thin films

Tsekov, Roumen; Ruckenstein, Eli

doi:10.1021/la00035a082

Cited by 21 publications

(12 citation statements)

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“…Generally speaking, the larger the size of the liposome, the larger are the membrane motions. Intensified membrane motions cause a decrease in the contact area of colliding liposomes, so when two membranes encounter each other, and if the membrane motion is larger than some critical level, then the contact area of the membrane surfaces becomes close to or equal to the so-called correlation area, o c , that is tightly restricted by the motion (24). On the other hand, the activation energy relates to the excess of free energy per unit area corresponding to the maximum barrier height, W * , and to the area, o, of the first floc-spot formed in the film: E * = oW * .…”

Section: Discussionmentioning

confidence: 99%

Size Dependence of Protein-Induced Flocculation of Phosphatidylcholine Liposomes

Dimitrova

Tsekov

Matsumura

et al. 2000

Journal of Colloid and Interface Science

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Section: Discussionmentioning

confidence: 99%

Size Dependence of Protein-Induced Flocculation of Phosphatidylcholine Liposomes

Dimitrova

Tsekov

Matsumura

et al. 2000

Journal of Colloid and Interface Science

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“…(1997) show in their experiments that these fluctuations do not dampen out if they are large enough, and attribute this to the large nonlinearities in the thin film equation. To account for the observed deviations between experiments and Reynolds’ theory, several theories have been developed that semi-empirically incorporate non-uniform thinning together with fluctuations in the description of planar film thinning (Sharma & Ruckenstein 1987; Tsekov & Ruckenstein 1993; Manev et al. 1997; Manev & Nguyen 2005).…”

Section: Introductionmentioning

confidence: 99%

“…Manev et al (1997) show in their experiments that these fluctuations do not dampen out if they are large enough, and attribute this to the large nonlinearities in the thin film equation. To account for the observed deviations between experiments and Reynolds' theory, several theories have been developed that semi-empirically incorporate non-uniform thinning together with fluctuations 1092 M. S. Shah, V. van Steijn, C. R. Kleijn and M. T. Kreutzer in the description of planar film thinning (Sharma & Ruckenstein 1987;Tsekov & Ruckenstein 1993;Manev et al 1997;Manev & Nguyen 2005). Although these theories are in reasonable agreement with experiments, they do not teach if and when rupture occurs through the formation of a dimple or due to the spontaneous growth of waves originating from thermal fluctuations, or are due to both.…”

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confidence: 99%

Thermal fluctuations in capillary thinning of thin liquid films

et al. 2019

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Thermal fluctuations have been shown to influence the thinning dynamics of planar thin liquid films, bringing predicted rupture times closer to experiments. Most liquid films in nature and industry are, however, non-planar. Thinning of such films not just results from the interplay between stabilizing surface tension forces and destabilizing van der Waals forces, but also from drainage due to curvature differences. This work explores the influence of thermal fluctuations on the dynamics of thin non-planar films subjected to drainage, with their dynamics governed by two parameters: the strength of thermal fluctuations, θ, and the strength of drainage, κ. For strong drainage (κ κ tr ), we find that the film ruptures due to the formation of a local depression called a dimple that appears at the connection between the curved and flat parts of the film. For this dimple-dominated regime, the rupture time, t r , solely depends on κ, according to the earlier reported scaling, t r ∼ κ −10/7 . By contrast, for weak drainage (κ κ tr ), the film ruptures at a random location due to the spontaneous growth of fluctuations originating from thermal fluctuations. In this fluctuations-dominated regime, the rupture time solely depends on θ as t r ∼ −(1/ω max ) ln( √ 2θ ) α , with α = 1.15. This scaling is rationalized using linear stability theory, which yields ω max as the growth rate of the fastest-growing wave and α = 1. These insights on if, when and how thermal fluctuations play a role are instrumental in predicting the dynamics and rupture time of non-flat draining thin films.

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“…Thus the time from the initial formation of TLF until its rupture depends on two basic processes: the rate of film drainage [5] and the thermal fluctuations causing coalescence of bubbles or droplets [9][10][11][12]. It was found out that film surface corrugations affect significantly both film drainage [2,4,[13][14][15][16][17][18][19][20][21] and its rupture [9,22,23]. Among the factors affecting the rate of TLF drainage, dynamic corrugations of the film surfaces is the most significant one [2,4,15] and, hence, the nature of these non-homogeneities is worth for studying.…”

Section: Introductionmentioning

confidence: 99%