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    • On the behaviour of small clusters near the spinodal decomposition

      Biman Bagchi

      Physical and Theoretical Volume 99 Issue 4 October 1987 pp 243-252

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/jcsc/099/04/0243-0252

    • Keywords

       

      Behaviour of small clusters; spinodal decomposition; interaction potential; Mayer clusters; spinodal density; mean-field theory

    • 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 $$(\bar m_1 )$$ of 1-particle Mayer clusters. The potential distribution theory is used to derive an analytic expression for a mean number of small clusters $$(\bar m_n {\text{ , 1 }} \leqslant {\text{ }}n < {\text{ }}N,$$ 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.

    • Author Affiliations

       

      Biman Bagchi1

      1. Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore - 560 012, India

    • Dates

       
      Published
      October 1987
      Manuscript received
      1 April 1987

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