Critical adsorption profiles around a sphere and a cylinder in a fluid at criticality: Local functional theory

Shunsuke Yabunaka, Akira Onuki

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We study universal critical adsorption on a solid sphere and a solid cylinder in a fluid at bulk criticality, where preferential adsorption occurs. We use a local functional theory proposed by Fisher et al. [M. E. Fisher and P. G. de Gennes, C. R. Acad. Sci. Paris Ser. B 287, 207 (1978); M. E. Fisher and H. Au-Yang, Physica A 101, 255 (1980)PHYADX0378-437110.1016/0378-4371(80)90112-0]. We calculate the mean order parameter profile ψ(r), where r is the distance from the sphere center and the cylinder axis, respectively. The resultant differential equation for ψ(r) is solved exactly around a sphere and numerically around a cylinder. A strong adsorption regime is realized except for very small surface field h1, where the surface order parameter ψ(a) is determined by h1 and is independent of the radius a. If r considerably exceeds a, ψ(r) decays as r-(1+η) for a sphere and r-(1+η)/2 for a cylinder in three dimensions, where η is the critical exponent in the order parameter correlation at bulk criticality.

Original languageEnglish
Article number032127
JournalPhysical Review E
Volume96
Issue number3
DOIs
Publication statusPublished - Sep 18 2017

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Criticality
Adsorption
Order Parameter
Fluid
adsorption
fluids
profiles
Critical Exponents
Three-dimension
Exceed
differential equations
Radius
exponents
Decay
Differential equation
Calculate
radii
Profile
decay

All Science Journal Classification (ASJC) codes

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

Cite this

Critical adsorption profiles around a sphere and a cylinder in a fluid at criticality : Local functional theory. / Yabunaka, Shunsuke; Onuki, Akira.

In: Physical Review E, Vol. 96, No. 3, 032127, 18.09.2017.

Research output: Contribution to journalArticle

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