Abstract
Exact representations of the generating functional of one-component classical systems with a central interatomic interaction potential are obtained in terms of the functional integrals over auxiliary fields determined in the wavevector space. It is proved that the problem of calculating a classical partition function for a system of particles with an arbitrary interatomic interaction potential is equivalent to the problem of calculating a statistical integral for a system of interacting oscillators with a temperature-dependent Hamiltonian.
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 27, No. 13, 2001, pp. 70–75.
Original Russian Text Copyright © 2001 by Zakharov.
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Zakharov, A.Y. The concept of elementary excitations in classical statistical mechanics. Tech. Phys. Lett. 27, 560–562 (2001). https://doi.org/10.1134/1.1388943
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DOI: https://doi.org/10.1134/1.1388943