Article
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Interpretation of Entropy by Complex Fluid Dynamics
Version 2
: Received: 10 December 2023 / Approved: 11 December 2023 / Online: 11 December 2023 (12:08:12 CET)
Version 3 : Received: 12 January 2024 / Approved: 12 January 2024 / Online: 14 January 2024 (16:05:26 CET)
Version 4 : Received: 16 January 2024 / Approved: 16 January 2024 / Online: 16 January 2024 (13:49:34 CET)
Version 3 : Received: 12 January 2024 / Approved: 12 January 2024 / Online: 14 January 2024 (16:05:26 CET)
Version 4 : Received: 16 January 2024 / Approved: 16 January 2024 / Online: 16 January 2024 (13:49:34 CET)
How to cite: Fujino, S. Interpretation of Entropy by Complex Fluid Dynamics. Preprints 2023, 2023050066. https://doi.org/10.20944/preprints202305.0066.v3 Fujino, S. Interpretation of Entropy by Complex Fluid Dynamics. Preprints 2023, 2023050066. https://doi.org/10.20944/preprints202305.0066.v3
Abstract
We consider that the relationship between entropy in statistical mechanics, which is the Boltzmann principle, and the complex velocity potential in complex fluid dynamics. We define the generalized complex entropy which expanded entropy from real space to complex space. We show that the complex entropy can be expressed by the composition of sources, sinks and laminar flows of the complex velocity potential. Therefore, the complex entropy is considered a special case of the complex fluid dynamics,that is, the complex velocity potential. In other words, we show that the complex entropy is expressed by the complex velocity potential. Moreover, we show that a complex number is expressed by the complex entropy. Thus, we show that the complex velocity potential is expressed by the complex entropy. Namely, we will expand entropy to complex space and see that the complex entropy is expressed by the complex velocity potential. Furthermore, we examine the possibility that it is an expansion of Boltzmann's principle and Planck distribution.
Keywords
Entropy; Complex Fluid Dynamics; Boltzmann principle; Planck law
Subject
Physical Sciences, Mathematical Physics
Copyright: 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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Commenter: Seiji Fujino
Commenter's Conflict of Interests: Author
1, On section 5, fixed eqations (5.21), (5.22), (5.23), (5.25) and (5.26).
that is, fixed Q'(z)S'_Q(z) to \frac{S'_Q(z)}{Q'(z)}.
Thanks.