Inhomogeneous medium

W.C. Chew. Waves and fields in inhomogeneous media. Library of Congress Cataloging-in-Publication Data, ISBN 0-442-23816-9, 1990. 

Lamb, W., Wood, D. M. and Ashcroft, N. W., Electrical transport and optical properties of inhomogeneous media, AlP conference, J. C. Garlard and D. B. Tanner, Ohio State University, 1977. 

Gurland JC, Tanner DB (eds) (1978) Electrical Transport and Optical Properties of Inhomogeneous Media AIP, New York... 

When this is the case, the heat capacity c, the coefficient of conductivity k and the right-hand side / depend on the temperature u x,t). In inhomogeneous media k, c and / may have discontinuities of various kinds and this dependence upon the temperature u may be different and depends on the range of situations to be considered. 

As expected from continuum theory, the friction and diffusion coefficients are replaced In Inhomogeneous fluid by tensors whose symmetry reflects that of the Inhomogeneous media. 

Niklasson, G. A., C. G. Granqvist, and O. Hunderi, 1981. Effective medium models for the optical properties of inhomogeneous media, Appl. Opt., 20, 26-30. 

W. C. Chew, Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990. 

Fig. 1.27. Self-organization in spatially homogeneous and inhomogeneous media.

Schuck, P. (2004). A model for sedimentation in inhomogeneous media. II. Compressibility of aqueous and organic solvents. Biophys. Chem. 108(1-3), 201-214. 

The As calculations (Equation (3.95)) were based on the Poisson equation, solved for a five-zone model (Section 3.5.4, Inhomogeneous Media) in which the solute (zone 1) was surrounded by four dielectric zones (2-5). A simplified schematic picture is given in Figure 3.26, but in the actual calculations, the zone boundaries were based on structures obtained from classical molecular dynamics (MD) simulations (with inclusion of a few thousand TIP3P water molecules and Na+ counterions to neutralize the negative charge from the DNA). Each zone was assigned optical and static dielectric constants (sxk and e0k, k = 1, 5). For the solute (zone 1), = e0k = 1.0 was adopted. For zones 2,3,... 

We can deal with continuously varying e(z) as the limit of infinitesimally thin layers through the procedure for finite layers (Level 2 Formulae, section L2.3.B on continuously changing susceptibilities) or from what we know about electromagnetic fields in inhomogeneous media (such as are analyzed for wave propagation in the Earth s atmosphere)... 

Level 3, Subsection L3.5, on inhomogeneous media). Depending on the shape of e(z) and, more important, on the continuity of e(z) and de(z)/dz at the interfaces with medium m, qualitatively new properties of interactions emerge in the Z - 0 limit of contact Consider three cases of interactions between symmetric bodies coming into contact ... 

Now various structures—for example, aggregates of particles in colloids, certain binary solutions, polymers, composites, and so on—can be conceived as fractal. Materials with a fractal structure belong to a wide class of inhomogeneous media and may exhibit properties differing from those of uniform matter, like crystals, ordinary composites, or homogeneous... 

Many problems in ultrasonic visualization, nondestructive evaluation, materials design, geophysics, medical physics and underwater acoustics involve wave propagation in inhomogeneous media containing bubbles and particulate matter. A knowledge of the effect of voids or inclusions on the attenuation and velocity of sound waves is necessary in order to properly model the often complex, multilayered systems. 

Chaban, I. A., "Calculation of the Effective Parameters of Micro-Inhomogeneous media by the Self-Consistent Field Method," Sov. Phvs. -Acoust.. 1965, PP. 81-86. 

Scharnhorst, K. P., "Comments on the Applicability of the Kuster-Toksoz Method to the Derivation of the Dynamic Material Parameters of Inhomogeneous Media," J. Acoust. Soc. Am.. 1987,... 

In this chapter, we generalize the above result to consider the potential created by point charges located in an inhomogeneous media and the interaction energy between these point charges. 

M. BCittiker and R. Landauer, in Nonlinear Phenomena at Phase Transition and Instabilities, T. Riste, ed., NATO ASI Series, Plenum, New York, 1981 R. Landauer, J. AppL Phys., 33, 2209 (1962) R. Landauer, in Electrical Transport and Optical Properties of Inhomogeneous Media, J. C. Garland and D. B. Tanner, eds., American Institute of Physics, New York, Sec. 9 R. Landauer and J. A. Swanson, Phys. Rev., 121, 1668 (1961) ... 

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