the diffusion equationWe present a detailed derivation of the closed-form expression for the diffusion coefficient that was initially obtained by Einstein.[4]4.\nin press . View all references The present derivation does not make use of a fictitious force as did the original Einstein derivation, ...
Einstein's absorption coefficient Einstein's coefficient of spontaneous emission Einstein's coefficient of stimulated emission Einstein's equation for specific heat Einstein's equivalency principle Einstein's field equations Einstein's law of gravitation ...
The equation which relates the mobilityµ (of electrons or holes) and the diffusion coefficient (of electrons Dnor holes Dp) is known as Einstein Relationship. The Einstein Relationship is expressed as Where, Dp= Diffusion coefficient of holes Dn= Diffusion coefficient of electrons µp= Mobilit...
Gisladottir, S., Loftsson, T., and Stefansson, E. Diffusion characteristics of vitreous humour and saline solution fol- low the Stokes Einstein equation. Graefes Arch. Clin. Exp. Ophthalmol. 247:1677-1684, 2009.Gisladottir S, Loftsson T, Stefansson E. Diffusion characteristics of vitreous...
Einstein diffusion equation Einstein displacement Einstein elevator Einstein equations Einstein frequency Einstein frequency condition Einstein Law of Photochemical Equivalence Einstein mass-energy relation Einstein number Einstein Observatory Einstein partition function Einstein photochemical equivalence law Einstein photo...
For over 100 years, the Nernst–Einstein relation has linked a charged particle’s electrophoretic mobility and diffusion coefficient. Here we report experimental measurements of diffusion and electromigration of K+ ions in narrow 0.8-nm-diameter single-
Einstein and Smoluchowski's treatment of. the Brownian motion has been discussed. It is shown that although the diffusion equations derived from both treatments are mathematically identical, Smoluchowski's equation defines a somewhat concentration-dependent diffusion coefficient, while Einstein's equation de...
The connection between self-diffusion coefficient, D, and viscosity, eta, of liquids and especially in glass-forming melts is discussed in the framework of the phenomenology of irreversible thermodynamics. The limits of validity of the Stokes-Einstein equation are established and the experimentally obse...
It happens because the unipolar relaxation of inhomogeneous electron density is not described by the diffusion equation. The relaxation goes much faster due to electric forces caused by electron density and by neutralizing background. Diffusion coefficient is irrelevant in this case and it is not ...
Molecular dynamics simulations of high density hard sphere fluids clearly show a breakdown of the Stokes-Einstein equation (SE). This result has been conjectured to be due to the presence of mobile particles, i.e., ones which have the propensity to "hop" distances that are integer multiples ...