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Osmotic pressure and viscoelastic shear moduli of concentrated emulsions

by: TG Mason, Martin-D Lacasse, Gary S Grest, Dov Levine, J Bibette, DA Weitz
Physical Review E, Vol. 56, No. 3. (1997), 3150.


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We present an experimental study of the frequency ω dependence and volume fraction φ dependence of the complex shear modulus G * (ω;φ) of monodisperse emulsions which have been concentrated by an osmotic pressure Π. At a given φ; the elastic storage modulus G ′ (ω)=Re[ G * (ω)] exhibits a low-frequency plateau G p ′ ; dominating the dissipative loss modulus G ′′ (ω)=Im[ G * (ω)] which exhibits a minimum. Above a critical packing fraction φ c ; we find that both Π(φ) and G p ′ (φ) increase quasilinearly; scaling as (φ-φ c ) μ ; where φ c ≈φ c rcp ; the volume fraction of a random close packing of spheres; and μ is an exponent close to unity. To explain this result; we develop a model of disordered droplets which interact through an effective repulsive anharmonic potential; based on results obtained for a compressed droplet. A simulation based on this model yields a calculated static shear modulus G and osmotic pressure Π that are in excellent agreement with the experimental values of G p ′ and Π.


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