Abstract
A melt is represented by a one dimensional lattice containing atoms and vacant sites. Only atoms on adjacent sites are able to interact. The jumping frequencies and coupling parameters are made reasonably time dependent through the dependence of temperature on time. Then the time dependence of the pair correlation function, as the melt is quenched, is computed by a kinetic method which leads to the correct equilibrium description of the correlation function. The development of correlation is influenced by both the “squeezing out” of free volume from clusters as they form as the melt is cooled and in the reduction of overall free volume (decrease in the fraction of vacancies). We are only able to treat the first effect directly. However, by comparing systems with different constant vacancy contents we can form some idea of the second effect. As expected, correlation develops more easily, on cooling, when there is more free volume. The effect of jumping frequency activation energy is also examined. These results should be of conceptual use in rapid solidification processes.
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