Next Article in Journal
Applications of Entropy in Finance: A Review
Previous Article in Journal
Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System
Previous Article in Special Issue
Dynamic Distance Measure on Spaces of Isospectral Mixed Quantum States
Entropy 2013, 15(11), 4889-4908; doi:10.3390/e15114889
Article

Fluctuations of Intensive Quantities in Statistical Thermodynamics

Received: 17 September 2013 / Revised: 31 October 2013 / Accepted: 6 November 2013 / Published: 11 November 2013
(This article belongs to the Special Issue Quantum Information 2012)
Download PDF [281 KB, uploaded 24 February 2015]

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.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote
MDPI and ACS Style

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

View more citation formats

Related Articles

Article Metrics

For more information on the journal, click here

Comments

Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert