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

H. Moraal

Physica A: Statistical Mechanics and its Applications, 1975, vol. 79, issue 1, 75-82

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.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:79:y:1975:i:1:p:75-82

DOI: 10.1016/0378-4371(75)90089-8

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