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- Thermal_capillary_wave abstract "Thermal motion is able to produce capillary waves at the molecular scale. At this scale,gravity and hydrodynamics can be neglected, and only the surface tension contribution isrelevant.Capillary wave theory (CWT) is a classic account of how thermal fluctuations distort an interface.It starts from some intrinsic surface that is distorted. Its energy will beproportional to its area:where the first equality is the area in this (the Monge) representation, and the secondapplies for small values of the derivatives (surfaces not too rough). The constant of proportionality, , is the surface tension.By performing a Fourier analysis treatment, normal modes are easily found. Each contributes an energy proportional to the square of its amplitude; therefore, according to classical statistical mechanics, equipartition holds, and the mean energy of each mode will be . Surprisingly, this result leads to a divergent surface (the width of the interface is bound to diverge with its area). This divergence is nevertheless very mild: even for displacements on the order of meters the deviation of the surface is comparable to the size of the molecules. Moreover, the introduction of an external field removes the divergence: the action of gravity is sufficient to keep the width fluctuation on the order of one molecular diameter for areas larger than about 1 mm2 (Ref. 2).".
- Thermal_capillary_wave wikiPageID "16840689".
- Thermal_capillary_wave wikiPageRevisionID "545300832".
- Thermal_capillary_wave hasPhotoCollection Thermal_capillary_wave.
- Thermal_capillary_wave subject Category:Statistical_mechanics.
- Thermal_capillary_wave subject Category:Waves.
- Thermal_capillary_wave type Abstraction100002137.
- Thermal_capillary_wave type Event100029378.
- Thermal_capillary_wave type Happening107283608.
- Thermal_capillary_wave type Movement107309781.
- Thermal_capillary_wave type PsychologicalFeature100023100.
- Thermal_capillary_wave type Wave107352190.
- Thermal_capillary_wave type Waves.
- Thermal_capillary_wave type YagoPermanentlyLocatedEntity.
- Thermal_capillary_wave comment "Thermal motion is able to produce capillary waves at the molecular scale. At this scale,gravity and hydrodynamics can be neglected, and only the surface tension contribution isrelevant.Capillary wave theory (CWT) is a classic account of how thermal fluctuations distort an interface.It starts from some intrinsic surface that is distorted.".
- Thermal_capillary_wave label "Thermal capillary wave".
- Thermal_capillary_wave label "Тепловые капиллярные волны".
- Thermal_capillary_wave sameAs m.0407zpf.
- Thermal_capillary_wave sameAs Q4455302.
- Thermal_capillary_wave sameAs Q4455302.
- Thermal_capillary_wave sameAs Thermal_capillary_wave.
- Thermal_capillary_wave wasDerivedFrom Thermal_capillary_wave?oldid=545300832.
- Thermal_capillary_wave isPrimaryTopicOf Thermal_capillary_wave.