Dispersion relations surface dynamics

Erik s research focused on the interfacial properties of the ocean surface, and, in particular, how the chemistry of the air-sea interface affects the dynamics of short waves, nearsurface flows and interfacial fluxes of heat, mass and momentum. During his short career, he contributed to over 30 scientific publications in this area. His doctoral research, carried out under the tutelage of well-known colloid and surface chemist, Sydney Ross, concerned the propagating characteristics of surface waves in the presence of adsorbed films. That work was eventually published as a series of seminal papers on capillary ripples, and his theoretical treatment of ripple propagation and a corrected dispersion relation for surface waves in the presence of a surface dilational modulus (with J. Adin Mann, Jr.) still stand as the definitive word on the subject. 

Bock EJ, Mann JA, Jr. (1989) On ripple dynamics. II. A corrected dispersion relation for surface waves in the presence of surface elasticity. J Colloid Interface Sci. 129 501-505... 

Bock EJ (1987) On ripple dynamics I. Microcomputer-aided measurements of ripple propagation. J Colloid Interface Sci 119 326-334 Bock EJ, Hara T (1995) Optical measurements of capillary-gravity wave spectra using a scanning laser slope gauge. J Atmos Oceanic Tech 12 395-403 Bock EJ, Mann JA (1989) On ripple dynamics II. A corrected dispersion relation for surface waves in the presence of surface elasticity. J Colloid Interface Sci 129 501-505... 

Droplet production by droplet stream generators takes place by pinch-off of liquid portions from jets. A trivial prerequisite for the application of this technique of drop production is, therefore, the formation of a laminar liquid jet from a round orifice or nozzle. The conditions of liquid flow through the orifice required to form a laminar jet are discussed in Sect. 26.3 below. Once the laminar jet is formed, its linear temporal instability against a disturbance with a non-dimensional wave number ka = 2nalX (with the wavelength X of the disturbance and the jet radius a) in a gaseous ambient medium under the action of surface tension, neglecting both the liquid viscosity and the dynamic interaction with the ambient gas, is described by the dispersion relation... 

Other modifications to the reaction conditions of the Brust-Schiffrin method, such as a reduction temperature of — 78 °C and the use of a hyperexcess of hexanethiol, results in an Au38(thiolate)24, based on observations, LDI-TOF mass spectrometry, TGA analysis and elemental analysis [69]. The influence of preparation temperature on the size and monodispersity of dodecylthiol monolayer protected gold clusters has also been reported. Both and SAXS measurements show that higher temperatures increase polydispersity. This modification of poly-dispersity may be related to the existence of a dynamic exchange of thiols at the particle surface with thiols in the solvent [70]. 

The mechanical properties of rapidly polymerizing acrylic dispersions, in simulated bioconditions, were directly related to microstructural characteristics. The volume fraction of matrix, the crosslinker volume in the matrix, the particle size distribution of the dispersed phase, and polymeric additives in the matrix or dispersed phase were important microstructural factors. The mechanical properties were most sensitive to volume fraction of crosslinker. Ten percent (vol) of ethylene dimethacrylate produced a significant improvement in flexural strength and impact resistance. Qualitative dynamic impact studies provided some insight into the fracture mechanics of the system. A time scale for the elastic, plastic, and failure phenomena in Izod impact specimens was qualitatively established. The time scale and rate sensitivity of the phenomena were correlated with the fracture surface topography and fracture geometry in impact and flexural samples. 

Classical methods are designed to obtain thermodynamic and transport information, for example molar volume, density, viscosity, and surface tension. The effects of pressure and temperature on these properties can also be evaluated, and thus phase transition information such as melting points and glass transition temperatures. If molecular dynamics (in contrast to Monte Carlo) is used, data relating to reorientation of molecules, self-diffusion and residence times are all available. Information can also be obtained from the simulation equations on the contribution made by kinetic, coulombic, intramolecular and dispersion energies to the total potential energy. However, because the charges are fixed and there is no explicit wavefunction included in the classical methods, no electronic information can be obtained. 

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