Attractive interaction and bridging transition between neutral colloidal particles due to preferential adsorption in a near-critical binary mixture

Ryuichi Okamoto, Akira Onuki

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We examine the solvent-mediated interaction between two neutral colloidal particles due to preferential adsorption in a near-critical binary mixture. We take into account the renormalization effect due to the critical fluctuations using the recent local functional theory. We calculate the free energy and the force between two colloidal particles as functions of the temperature T, the composition far from the colloidal particles c, and the colloid separation ℓ. The interaction is much enhanced when the component favored by the colloid surfaces is poor in the reservoir. For such off-critical compositions, we find a surface of a first-order bridging transition ℓ=ℓcx(T,c) in the T-c- ℓ space in a universal, scaled form, across which a discontinuous change occurs between separated and bridged states. This surface starts from the bulk coexistence surface (CX) and ends at a bridging critical line where ℓ is determined by T as ℓ=ℓc(T). On approaching the critical line, the discontinuity vanishes and the derivatives of the force with respect to T and ℓ both diverge. Furthermore, bridged states continuously change into separated states if c (or T) is varied from a value on CX to a value far from CX with ℓ kept smaller than ℓc(T).

Original languageEnglish
Article number022309
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number2
DOIs
Publication statusPublished - Aug 19 2013
Externally publishedYes

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Binary Mixtures
Adsorption
binary mixtures
adsorption
Interaction
Coexistence
Colloids
interactions
colloids
Line
Diverge
Configuration Space
Renormalization
Free Energy
Vanish
Discontinuity
discontinuity
free energy
Fluctuations
First-order

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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abstract = "We examine the solvent-mediated interaction between two neutral colloidal particles due to preferential adsorption in a near-critical binary mixture. We take into account the renormalization effect due to the critical fluctuations using the recent local functional theory. We calculate the free energy and the force between two colloidal particles as functions of the temperature T, the composition far from the colloidal particles c∞, and the colloid separation ℓ. The interaction is much enhanced when the component favored by the colloid surfaces is poor in the reservoir. For such off-critical compositions, we find a surface of a first-order bridging transition ℓ=ℓcx(T,c∞) in the T-c∞- ℓ space in a universal, scaled form, across which a discontinuous change occurs between separated and bridged states. This surface starts from the bulk coexistence surface (CX) and ends at a bridging critical line where ℓ is determined by T as ℓ=ℓc(T). On approaching the critical line, the discontinuity vanishes and the derivatives of the force with respect to T and ℓ both diverge. Furthermore, bridged states continuously change into separated states if c∞ (or T) is varied from a value on CX to a value far from CX with ℓ kept smaller than ℓc(T).",
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