1983
DOI: 10.1103/physrevb.27.4288
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Continuous and first-order wetting transition from the van der Waals theory of fluids

Abstract: The transition between incomplete wetting and complete wetting of an attractive substrate in contact with a gas at gas-liquid coexistence is studied. Within the framework of the systematic van der Waals (mean-field) theory of fluids, it is shown that both a continuous wetting transition, as found by Sullivan, and a first-order transition with a prewetting line, previously found by other methods, are possible. The relative magnitude of the various characteristic lengths in the problem is shown to be of relevanc… Show more

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Cited by 125 publications
(69 citation statements)
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“…Focusing on the region near coexistence ͑not shown͒, it appears that the prewetting lines approach the coexistence line tangentially, as should be expected. 20 It is seen that the prewetting lines will disappear if both AC ϭ BC and AB are sufficiently low, namely, for AC ϭ BC Ϸ4/N and AB Ϸ8/N. This combination of -values marks the tricritical point, at which the wetting transitions change from first order to second order.…”
Section: A First Regime: Additional To Cahnmentioning
confidence: 99%
See 1 more Smart Citation
“…Focusing on the region near coexistence ͑not shown͒, it appears that the prewetting lines approach the coexistence line tangentially, as should be expected. 20 It is seen that the prewetting lines will disappear if both AC ϭ BC and AB are sufficiently low, namely, for AC ϭ BC Ϸ4/N and AB Ϸ8/N. This combination of -values marks the tricritical point, at which the wetting transitions change from first order to second order.…”
Section: A First Regime: Additional To Cahnmentioning
confidence: 99%
“…Usually, the temperature T or TϪT crit is used as control parameter instead of . Since ϰ1/T, the relative positions of wetting point, critical prewetting point, and critical point are reversed with respect to standard wetting phase diagrams, 9,20 where T wet ϽT cpr ϽT crit . In Fig.…”
Section: A First Regime: Additional To Cahnmentioning
confidence: 99%
“…Note that these pre-wetting lines lay in the gas region of the bulk phase diagram (∆µ < 0), and approach bulk coexistence tangentially at the respective T (i) w , i = w, s. As expected, the deeper well of the fluid-stripe LJ interaction leads to T (s) w < T (w) w , and a more pronounced prewetting line µ (s) pw (T ), which extends deeper into the gas region. Near the respective wetting temperatures T (i) w , the pre-wetting lines are described by their asymptotic behaviour, which follows from analysis of the Clausius-Clapeyron equation [5,34,41]:…”
Section: Wetting Phenomenologymentioning
confidence: 99%
“…• Any first-order phase boundary corresponding to a line of coexistence in the T − µ plane satisfies a Clausius-Clapeyron-like equation [26]:…”
Section: A General Considerationsmentioning
confidence: 99%