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Fluctuations of Intensive Quantities in Statistical Thermodynamics
Department of Mathematics and Computer Science, University of Antwerp, Middelheim Campus Building G, Middelheimlaan 1, Antwerp B-2020, Belgium
Received: 17 September 2013; in revised form: 31 October 2013 / Accepted: 6 November 2013 / Published: 11 November 2013
Abstract: In phenomenological thermodynamics, the canonical coordinates of a physical system split in pairs, with each pair consisting of an extensive quantity and an intensive one. In the present paper, the quasithermodynamic fluctuation theory of a model system of a large number of oscillators is extended to statistical thermodynamics based on the idea of perceiving the fluctuations of intensive variables as the fluctuations of specific extensive ones in a “thermodynamically dual” system. The extension is motivated by the symmetry of the problem in the context of an analogy with quantum mechanics, which is stated in terms of a generalized Pauli problem for the thermodynamic fluctuations. The doubled Boltzmann constant divided by the number of particles plays a similar role as the Planck constant.
Keywords: fluctuations; thermodynamics; quantization; Pauli problem; duality
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Ruuge, A.E. Fluctuations of Intensive Quantities in Statistical Thermodynamics. Entropy 2013, 15, 4889-4908.
Ruuge AE. Fluctuations of Intensive Quantities in Statistical Thermodynamics. Entropy. 2013; 15(11):4889-4908.
Ruuge, Artur E. 2013. "Fluctuations of Intensive Quantities in Statistical Thermodynamics." Entropy 15, no. 11: 4889-4908.