This article is cited in 1 paper

Lattice dynamics

Equation of state and statistical distribution in a macroscopic system

N. N. Gorobey, A. S. Lukyanenko

Peter the Great St. Petersburg Polytechnic University

Abstract: A representation is proposed for the statistical sum for a macroscopic body in the form of a Euclidean functional integral in which the body deformation is a classical fluctuation-free parameter. The equation of state of the body relating its deformation and temperature with the external mechanical load is contained in this representation as a constraint on the integration measure by a suitable classical equation of motion.

Keywords: macroscopic system, temperature, deformation, quantum mechanics, functional integral, statistical sum.

Received: 24.08.2020
Revised: 24.08.2020
Accepted: 25.08.2020

DOI: 10.21883/FTT.2020.12.50295.175

 English version: Physics of the Solid State, 2020, 62:12, 2400–2402

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