Specific heat in the thermodynamics of clusters

Details Specific heat in the thermodynamics of clusters Specific heat in the thermodynamics of clusters

1994-12-29

arxiv.org/abs/chem-ph/9412003v1

Physics

Chemical Physics

12 pages, LaTeX, uses RevTeX and psfig macros, 5 Postscript figures (produced with uufiles and appended to the latex source )

Scientific paper

The thermodynamic properties such as the specific heat are uniquely determined by the second moments of the energy distribution for a given ensemble averaging. However for small particle numbers the results depend on the ensemble chosen. We calculated the higher moments of the distributions of some observables for both the canonical and the microcanonical ensemble of the same van der Waals clusters. The differences of the resulting thermodynamic observables for the two ensembles are calculated in terms of the higher moments. We demonstrate how for increasing particle number these terms decrease to vanish for bulk material. For the calculation of the specific heat within the microcanonical ensemble we give a new method based on an analysis of histograms.

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