Electrodynamics by Melia F.

By Melia F.

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Therefore the excess of internal pressure originating the swelling cannot be attributed to the osmotic pressure analyzed in the previous section. In fact, the excess of internal pressure making the sample swell must be associated with the electric charges borne by the platelets forming the solid part of the clay. Because these electric charges have the same sign, the observed swelling might be wrongly attributed to the electrostatic repulsion occurring between the platelets, according to the following scenario.

108) Owing to the additive character of energy the normalized Gibbs free energy of mixing, G, associated with the composite solution made of the two distinct subsolutions 1 and 2 is given by G(x1 , x2 ) = α1 G (x1 ) + α2 G (x2 ) . 109), G(x1 , x2 ) is a function of only x1 and x2 . 108) provides α2 = 1 − α1 as a function of x, x1 and x2 . In preparation for the stability analysis, let us briefly recall that the function G (x) is convex – concave – for x lying between x1 and x2 , if in this range the curvature of the representative curve is turned towards the positive – negative – values of G (x).

Therefore the excess of internal pressure originating the swelling cannot be attributed to the osmotic pressure analyzed in the previous section. In fact, the excess of internal pressure making the sample swell must be associated with the electric charges borne by the platelets forming the solid part of the clay. Because these electric charges have the same sign, the observed swelling might be wrongly attributed to the electrostatic repulsion occurring between the platelets, according to the following scenario.

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