On the behaviour of small cluster near the spinodal decomposition

Bagchi, Biman (1987) On the behaviour of small cluster near the spinodal decomposition. In: Proceedings of Indian Academy of Sciences: Chemical Sciences, 99 (4). pp. 243-252.

PDF small_clusters.pdf - Published Version Download (729kB)

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 $(\={m}_1)$ of 1-particle Mayer clusters. The potential distribution theory is used to derive zn analytic expression for a mean number of small clusters $(\={m}_n, 1 \le n < N$, in an N-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.

Item Type:	Journal Article
Publication:	Proceedings of Indian Academy of Sciences: Chemical Sciences
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences
Keywords:	Behaviour of small clusters;spinodal decomposition;interaction potential;Mayer clusters;spinodal density;mean-field theory
Department/Centre:	Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Date Deposited:	02 Apr 2008
Last Modified:	22 Oct 2010 09:05
URI:	http://eprints.iisc.ac.in/id/eprint/13595

Actions (login required)

View Item