Casimir force in confined polymer blends or ternary polymer solutions

Benhamou, M.; Yaznasni, M. El; Ridouane, H.; Hachem, El-Kaber

doi:10.1590/s0103-97332006000700034

Cited by 2 publications

(2 citation statements)

References 22 publications

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“…It has been shown that the induced p -body interactions, ( p ≥ 1), are direct functions of the correlation functions constructed with fi elds ϕ and ϕ 2 . If we restrict ourselves to the only two-body interactions, the induced pair potential reads [19] :…”

Section: Induced Force Between Immersed Colloidsmentioning

confidence: 99%

Fluctuation-induced forces in critical crosslinked polymer blends

Fassi¹,

Benhamou²,

Agouzouk³

et al. 2011

Journal of Polymer Engineering

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In this paper, we report on the computation of the induced forces in crosslinked polymer blends, with immersed small colloidal particles (nanoparticles) or confi ned to two parallel plates (fi lm). We assume that the particles or the walls prefer to be attracted by one polymer, close to the spinodal temperature where a microphase separation takes place. This is the so-called " critical adsorption " . As an assumption, the particle diameter or the fi lm thickness is considered to be small enough in comparison with the size of microdomains ( " mesh size " ). The critical fl uctuations of the crosslinked mixture induce a pair potential between particles located in the nonpreferred phase or between the confi ning walls. The purpose is to recall how this Casimir pair potential can be determined, as a function of the interparticle distance or the walls separation. To achieve calculations, use is made of an extended de Gennes model that takes into account the colloid-polymer and polymer-wall interactions. Finally, the obtained results are compared to those relatively to uncrosslinked polymer blends in the same geometries, and the main conclusion is that the induced force is reduced by the presence of permanent crosslinks.

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Section: Induced Force Between Immersed Colloidsmentioning

confidence: 99%

Fluctuation-induced forces in critical crosslinked polymer blends

Fassi¹,

Benhamou²,

Agouzouk³

et al. 2011

Journal of Polymer Engineering

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“…Experimentally, several works have been devoted to the critical systems in the presence of geometrical boundaries (confining walls or immersed colloids) [47][48][49][50]. Very recently, one has also investigated the Casimir effect in critical polymer blends or ternary polymer solutions [51][52][53][54][55][56][57][58][59][60][61][62][63].…”

Section: Introductionmentioning

confidence: 99%

Casimir Force between Nanoparticles Immersed in a Crosslinked Polymer Blend

Fassi¹,

Benhamou²,

Boughou³

et al. 2010

Acta Phys. Pol. A

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We consider a crosslinked polymer blend made of two polymers of different chemical nature. We suppose that such a system incorporates small colloidal particles, which prefer to be attracted by one polymer, close to the spinodal temperature. This is the so-called critical adsorption. As assumption, the particle diameter, d 0 , is considered to be small enough in comparison with the size of microdomains (mesh size) ξ * ∼ an 1/2 , with a -the monomer size and n -the number of monomers between consecutive crosslinks. The critical fluctuations of the crosslinked polymer mixture induce a pair-potential between particles located in the non-preferred phase. The purpose is the determination of the Casimir pair-potential, U2(r), as a function of the interparticle distance r. To achieve calculations, use is made of an extended de Gennes field theory that takes into account the colloid-polymer interactions. Within the framework of this theory, we first show that the pair-particle is attractive. Second, we find for this potential the exact form:, with the known universal amplitudes AH > 0 and BH > 0 (the Hamaker constants). This expression clearly shows that the pair-potential differs from its homologue with no crosslinks only by the two exponential factors exp(−r/ξ * ) and exp(−2r/ξ * ). The main conclusion is that the presence of reticulations reduces substantially the Casimir effect in crosslinked polymer blends.

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Casimir force in confined polymer blends or ternary polymer solutions

Cited by 2 publications

References 22 publications

Fluctuation-induced forces in critical crosslinked polymer blends

Fluctuation-induced forces in critical crosslinked polymer blends

Casimir Force between Nanoparticles Immersed in a Crosslinked Polymer Blend

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