Fluctuations of intensive quantities in statistical thermodynamicsFluctuations of intensive quantities in statistical thermodynamics
Faculty of Sciences. Mathematics and Computer Science

Fundamental Mathematics

article

2013 2013

Physics

Entropy: an international and interdisciplinary journal of entropy and information studies. - -

15(2013):11, p. 4889-4908

1099-4300

000328487400017

E

English (eng)

University of Antwerp

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.

https://repository.uantwerpen.be/docman/irua/3250d8/6635.pdf

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