On the behaviour of small clusters near the spinodal decomposition |
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Authors: | Biman Bagchi |
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Institution: | (1) Solid State and Structural Chemistry Unit, Indian Institute of Science, 560 012 Bangalore, India |
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Abstract: | The canonical average of the Boltzmann factor of the interaction potential, as measured by a test particle, is shown to be
equal to the inverse of the fraction of the average number
of 1-particle Mayer clusters. The potential distribution theory is used to derive an analytic expression for a mean number
of small clusters
1≤n<N, in anN-particle system) in the mean-field expression. Near the spinodal density, the average number of small clusters undergo a
sharp change. Computation of pressure shows that only the first four clusters produce surprisingly good agreement with known
pressure even beyond the spinodal density.
Contribution No. 439 from the Solid State and Structural Chemistry Unit |
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Keywords: | Behaviour of small clusters spinodal decomposition interaction potential Mayer clusters spinodal density mean-field theory |
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