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Entropy 2013, 15(11), 4889-4908; doi:10.3390/e15114889
Article

Fluctuations of Intensive Quantities in Statistical Thermodynamics

Received: 17 September 2013; in revised form: 31 October 2013 / Accepted: 6 November 2013 / Published: 11 November 2013
(This article belongs to the Special Issue Quantum Information 2012)
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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 fluctuations; thermodynamics; quantization; Pauli problem; duality
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Ruuge, A.E. Fluctuations of Intensive Quantities in Statistical Thermodynamics. Entropy 2013, 15, 4889-4908.

AMA Style

Ruuge AE. Fluctuations of Intensive Quantities in Statistical Thermodynamics. Entropy. 2013; 15(11):4889-4908.

Chicago/Turabian Style

Ruuge, Artur E. 2013. "Fluctuations of Intensive Quantities in Statistical Thermodynamics." Entropy 15, no. 11: 4889-4908.


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