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On the existence of the thermodynamic limit for classical systems with nonspherical potentials

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  • Moraal, H.

Abstract

It is shown, that the configurational partition function for a classical system of molecules interacting with nonspherical pair potential is proportionals to the configurational partition function for a system of particles interacting with temperature-dependent spherical k-body potentials (k ⩾2). Therefore, the thermodynamic limit for nonspherical molecules exists if the effective k-body interaction is stable and tempered. A number of criteria for the nonspherical potential are developed which ensure these properties. In case the nonsphericity is small in a certain sense, stability and temperedness of the angle-averaged nonspherical potential are sufficient to ensure thermodynamic behaviour.

Suggested Citation

  • Moraal, H., 1975. "On the existence of the thermodynamic limit for classical systems with nonspherical potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(1), pages 75-82.
    • Handle: RePEc:eee:phsmap:v:79:y:1975:i:1:p:75-82
    DOI: 10.1016/0378-4371(75)90089-8
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