Interfacial region, width

Figure 1. Schematic representation of the model for the interfacial region. The region is composed of M parallel planes including the bounding surfaces which are labelled as 1 and M. The distance between a pair of adjoining planes is d = Jl lattice units. The width of the interfacial region D = M-l (in units of d).

A computer program was developed to accomplish this and to carry out the iteration procedure described above. Computational facilities at our disposal (Harris 500) allowed the consideration of matrices of order not exceeding 60. Considering that the order of the transition probability matrix is 4 times the width (M) of the interfacial region, the computational limitation restricts the present investigation to the systems in which the distance between the confining the surfaces is less than 15 units (1 unit = d). 

Figure 2. The bound fraction, , as a function of mean segment concentration, < >j, in an interfacial region of width equal to 5d (6 lattice planes).

Figure 4. The bound fraction, , versus the width of the interfacial region, D, at 9 = 0.75. The significance of the various symbols is the same as in Figure 3.

Figure 8. The free energy of confinement of the chain, Ay/ki at constant composition, as a function of the width of the interfacial region, D, at 0 0 and 0.75.

Note The width at half the maximum of the composition profile across the interfacial region or the distance between locations where d /dr (with f the composition of a component and r the distance through the interfacial region) has decreased to 1/e are used as measures of the interfacial-region thickness. 

A characteristic feature of adsorbed polymers is that the width of the interfacial region can extend up to distances of the order of the radius of... 

Figure 19. The electronic structure of an n-type semiconductor/electrolyte solution interface under conditions of free electron depletion at the surface. Shown are the conduction and valence band edges as a function of the distance from the surface. The interfacial potential drop is distributed over a region in the solid (depletion region, width 4c) and the molecular Helmholtz layer at the liquid side (not shown). The interfacial capacitance is represented by a series connection of the capacitance of the depletion layer (Csc) and the Helmholtz layer (Csoi).

Fig. 40. Schematic description of unstable thermodynamic fluctuations in the two-phase regime of a binary mixture AB at a concentration cb (a) in the unstable regime inside the two branches tp of the spinodal curve and (b) in the metastable regime between the spinodal curve tp and the coexistence curve The local concentration c(r) at a point r = (x. y, z.) in space is schematically plotted against the spatial coordinate x at some time after the quench. In case (a), the concentration variation at three distinct times t, ti, u is indicated. In case (b) a critical droplet is indicated, of diameter 2R , the width of the interfacial regions being the correlation length Note that the concentration profile of the droplet reaches the other branch ini, of the coexistence curve in the droplet center only for weak supersaturations of the mixture, where cb -

Figure 2.2 Interfacial profile where > is equal to the order parameter, ifr, scaled to its bulk value, o. and m = z/, the bulk correlation length. The width of the interfacial region centered at u = 0 scales with...

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