Multilayer adsorption on a fractally rough surface

Pfeifer, Peter; Wu, You; Cole, Milton W.; Krim, J.

doi:10.1103/physrevlett.62.1997

Cited by 439 publications

(278 citation statements)

References 12 publications

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“…Although the wetting of homogeneous and planar substrates is nowadays a relatively well understood phenomenon [1][2][3] its counterpart corresponding to the adsorption on corrugated substrates still poses many questions which remain unanswered in spite of much recent experimental and theoretical work [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] devoted to these systems. Different apects of wetting on a corrugated substrate, e.g.…”

Section: Introductionmentioning

confidence: 99%

Adsorption on a periodically corrugated substrate

Rejmer

Napiórkowski

2000

Phys. Rev. E

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Abstract. Mean field analysis of the effective interfacial Hamiltonian shows that with increasing temperature the adsorption on a periodically corrugated substrate can proceed in two steps: first, there is the filling transition in which the depressions of the substrate become partially or completely filled; then there is the wetting transition at which the substrate as a whole becomes covered with a macroscopically thick wetting layer. The actual order and location of both transitions are related to the wetting properties of the corresponding planar substrate and to the form of corrugation. Certain morphological properties of the liquid-vapor interface in the case of a saw-like corrugated substrate are discussed analytically.

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Section: Introductionmentioning

confidence: 99%

Adsorption on a periodically corrugated substrate

Rejmer

Napiórkowski

2000

Phys. Rev. E

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“…0, = 2 is the Euclidian dimension of a surface. Pfeifer et al (1989) derived an expression for the surface fractal dimension from an analysis of multilayer adsorption to a fractal surface as given in Eq. 2:…”

Section: Introductionmentioning

confidence: 99%

The Roughness of Aerosol Particles: Surface Fractal Dimension Measured Using Nitrogen Adsorption

Wu¹

1996

Aerosol Science and Technology

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ABSTRACT. Measurements were made of the surface fractal dimension of materials produced by commercial aerosol processes. A nitrogen adsorption technique was used that requires the measurement of only one adsorption isotherm, in contrast to other methods that require multiple isotherms. The materials analyzed were titanium dioxide (fumed and chloride process) and fumed silica. The chloride process titanium dioxide samples showed evidence that surface roughness is controlled by process conditions, and the fumed titanium dioxide appeared to have a surface structure that is not fractal. Results for fumed silica were compared with data from the literature that were obtained using small angle X-ray and neutron scattering. Adsorption surface fractal dimensions were lower, which is believed to be caused by the smoothing of adsorbed layers of nitrogen, resulting in the loss of replication of surface roughness.

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“…Rough substrate walls with self-affine geometry, are produced in experiments [7], [8] and adsorption phenomena have been already observed on them [8]. On the other hand, interface depinning belongs to a more general class of disorder-induced delocalization phenomena of fluctuating manifolds from extended defects [9].…”

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confidence: 99%

Effect of surface roughness on bulk-disorder–induced wetting

Sartoni¹,

Stella²,

Giugliarelli³

et al. 1997

Europhys. Lett.

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PACS. 68.45Gd -Wetting. PACS. 05.70Fh -Phase transitions: general aspects. PACS. 82.65Dp -Thermodynamics of surfaces and interfaces.Abstract. -Transfer-matrix results in 2D show that wetting of a rough, self-affine wall induced by bulk bond disorder turns discontinuous as soon as the wall roughness exponent ζW exceeds ζ0 = 2/3, the spatial anisotropy index of interface fluctuations in the bulk. For ζW < 2/3 critical wetting is recovered, in the same universality class as for the flat-wall case. These and related findings suggest a free-energy structure such to imply first-order wetting also without disorder, or in 3D, whenever ζW exceeds the appropriate ζ0. The same thresholds should apply also with van der Waals forces, in cases when ζ0 implies a strong-fluctuation regime. . An example is offered by the 2D Ising model on semi-infinite lattice. At T = 0, with suitable boundary conditions, the interface can be localized on a line of weak ferromagnetic bonds along the edge (wall). If the bulk couplings are disordered, upon reducing wall attraction depinning eventually occurs. This ill-condensed matter version of critical wetting in 2D belongs to a different universality class as similar transitions controlled by thermal fluctuations alone. Indeed, the mean wall-interface distance h diverges as ∆ −ψ , where ψ = 2 [1] and ∆ measures the deviation from critical edge attraction conditions. ψ = 1 holds for the thermal case without disorder [6].An as yet unanswered question concerns the possible effect of additional, geometrical surface disorder on this type of wetting. Rough substrate walls with self-affine geometry, are produced in experiments [7], [8] and adsorption phenomena have been already observed on them [8]. On the other hand, interface depinning belongs to a more general class of disorder-induced delocalization phenomena of fluctuating manifolds from extended defects [9].

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Multilayer adsorption on a fractally rough surface

Cited by 439 publications

References 12 publications

Adsorption on a periodically corrugated substrate

Adsorption on a periodically corrugated substrate

The Roughness of Aerosol Particles: Surface Fractal Dimension Measured Using Nitrogen Adsorption

Effect of surface roughness on bulk-disorder–induced wetting

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