Statistical mechanics of surface phenomena

Bellemans, André

doi:10.1016/0031-8914(62)90037-x

Cited by 79 publications

(53 citation statements)

References 4 publications

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“…(16) for a dilute system, i.e., η → 0 or, equivalently, y → 0. From diagrammatic expansions 19,20 it is known that…”

Section: Low Density Limit (Ldl)mentioning

confidence: 99%

Communication: Non-Hadwiger terms in morphological thermodynamics of fluids

Hansen-Goos

2014

The Journal of Chemical Physics

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We demonstrate that the Hadwiger form of the free energy of a fluid in contact with a wall is insufficient to describe the low-density behavior of a hard-sphere fluid. This implies that morphological thermodynamics of the hard-sphere fluid is an approximate theory if only four geometric measures are included. In order to quantify deviations from the Hadwiger form we extend standard fundamental measure theory of the bulk fluid by introducing additional scaled-particle variables which allow for the description of non-Hadwiger coefficients. The theory is in excellent agreement with recent computer simulations. The fact that the leading non-Hadwiger coefficient is one order of magnitude smaller than the smallest Hadwiger coefficient lends confidence to the numerous results that have been previously obtained within standard morphological thermodynamics.

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“…(16) for a dilute system, i.e., η → 0 or, equivalently, y → 0. From diagrammatic expansions 19,20 it is known that…”

Section: Low Density Limit (Ldl)mentioning

confidence: 99%

Communication: Non-Hadwiger terms in morphological thermodynamics of fluids

Hansen-Goos

2014

The Journal of Chemical Physics

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“…Polydispersity, which has not been addressed so far, is also the subject of ongoing research. expansion for this quantity was given by Bellemans [31,32] Combining the above two equations we find 2kBT ( 9 ~b 2 1341 q~3"]…”

Section: Discussionmentioning

confidence: 99%

Depletion force in colloidal systems

Mao

Cates

Lekkerkerker

1995

Physica A: Statistical Mechanics and its Applications

378

305

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The entropic depletion force, in colloids, arises when large particles are placed in a solution of smaller ones, and sterically constrained to avoid them. We calculate the interaction between large spheres (of radius R) in a dilute solution of mutually avoiding small spheres (of diameter a ,~ R and volume fraction ~b), to third order in ~b. In addition to the well-known attractive force for 0 < h < a, we find a repulsive barrier at larger separations, and beyond that a secondary minimum. Except for unusually large size ratios (perhaps abetted by relatively high density qS), these features of the interaction potential are too small, compared to kBT, for kinetic stabilization (arising from the barrier) or flocculation into the secondary minimum, to be widespread, although such effects are possible in principle. For feasible size ratios, the same features should have observable consequences for the radial distribution function of the large spheres. Such effects can be viewed as precursors, at low density, of liquidlike structuring (solvation forces) expected at higher q~. Our third order calculation gives satisfactory agreement with a recent computer simulation at moderate density and size ratio (2R/a = 10; ~b = 7z/15).

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“…The resulting geometrical problem is closely related to problems described by Bellemans 33 and Fischer. 34 There, however, the problem concerns two hard particles at a hard wall, while here we have soft particles at a wall which breaks some of the symmetry and changes the limits of integration.…”

Section: ͑18͒mentioning

confidence: 99%

Interfacial tension and wetting in colloid–polymer mixtures

Aarts

Dullens

Lekkerkerker

et al. 2004

The Journal of Chemical Physics

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We calculate the interfacial tension and the wetting behavior in phase separated colloid-polymer mixtures both for ideal and excluded volume interacting polymers. Within the recently developed extension of the free volume theory to include polymer interactions ͓Aarts, Tuinier, and Lekkerkerker, J. Phys.: Condens. Matter 14, 7551 ͑2002͔͒ the interfacial tension of the free interface is calculated by adding a van der Waals squared gradient term. The wetting behavior at a hard wall is calculated following a Cahn-Fisher-Nakanishi approach taking the one-and two-body colloid-wall interactions into account. Comparing results for interacting polymers with those for ideal polymers we find that for interacting polymers the interfacial tension does not increase as steeply as a function of the gas-liquid colloid density difference. Furthermore, the wetting transition shifts to higher polymer concentrations, even to above the triple line. The predictions for both the interfacial tension and the wetting are compared to recent experiments.

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Statistical mechanics of surface phenomena

Cited by 79 publications

References 4 publications

Communication: Non-Hadwiger terms in morphological thermodynamics of fluids

Communication: Non-Hadwiger terms in morphological thermodynamics of fluids

Depletion force in colloidal systems

Interfacial tension and wetting in colloid–polymer mixtures

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