Abstract
The growth of grains in a liquid matrix is usually explained by the Lifshitz-Slyozov-Wagner (LSW) theory. Because of the capillary pressure exerted on a particle, the activity of the atoms in the particle and its solubility in the matrix increases as the particle size decreases. The atoms dissolved in the matrix from small particles are transported to large particles, resulting in growth of large grains. To analyze this phenomenon quantitatively, it is necessary to understand the capillarity in multi-component systems as well as that in single-component systems. When particles of different sizes are dispersed in a liquid, material transport occurs from small to large grains because of the difference in solubility between the grains. Therefore, small grains dissolve and large grains grow further, thereby increasing the average grain size; this a phenomenon is called the Ostwald ripening. When a grain is immersed for a long period of time in a liquid which is chemically in equilibrium with the grain, the grain exhibits a shape with the minimum interfacial energy, an equilibrium shape.
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