Fluctuations of Intensive Quantities in Statistical Thermodynamics

Entropy

关键词: fluctuations;    thermodynamics;    quantization;    Pauli problem;    duality;   

DOI  :  10.3390/e15114889

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2013 by the author; licensee MDPI, Basel, Switzerland.