Basic Equation for the Different Coupled Equations between the First and Second Laws of Thermodynamics at Strong Coupling

Authors

• Saeed Shahsavari Department of Mechanical Engineering, Isfahan University of Technology, Iran

Keywords:

First law of thermodynamics; Second law of the thermodynamics; Strong coupling; Internal energy; Entropy production; Coupled equation

Abstract

For some physical processes, the first and second laws of thermodynamics can be at strong coupling. Also, it is possible that the familiar inequalities of macroscopic thermodynamics cannot be used in the analysis of the system, and it is needed that the inequalities rewrote as equalities. In these cases, the work, internal energy, dissipated energy, and entropy production must be considered and identified together. In this paper, the basic equation for the different coupled equations between the first and second laws of thermodynamics at strong coupling is extracted. Also, inspired by the first and second laws of thermodynamics and different approaches to the second law, a thermophysical equation for thermodynamics is extracted. This equation can be used instead of the first and second laws of thermodynamics as to the analysis of the performed process these laws must be established together. It is tried that effective internal energy, directly to be related to the entropy or vice versa, in one general equation. Also, the presented equation is in the same line with the different approaches to the second law and energy structure theory.

References

Carnot, Sadi, Rudolf Clausius, and William Thomson Baron Kelvin. The Second Law of Thermodynamics. American Book Company, 1899.

Lieb, Elliott H., and Jakob Yngvason. "The mathematical structure of the second law of thermodynamics." arXiv preprint math-ph/0204007 (2002).

Gemmer, Jochen, Alexander Otte, and Günter Mahler. "Quantum approach to a derivation of the second law of thermodynamics." Physical Review Letters 86.10 (2001): 1927.

Setare, M. R. "Generalized second law of thermodynamics in quintom dominated universe." Physics Letters B 641.2 (2006): 130-133.

Zhou, Jia, et al. "The generalized second law of thermodynamics in the accelerating universe." Physics Letters B 652.2-3 (2007): 86-91.

Karami, K., and A. Abdolmaleki. "Generalized second law of thermodynamics in f (T) gravity." Journal of Cosmology and Astroparticle Physics 2012.04 (2012): 007.

Abe, Sumiyoshi, and A. K. Rajagopal. "Validity of the second law in nonextensive quantum thermodynamics." Physical review letters 91.12 (2003): 120601.

Green, A. E., and P. M. Naghdi. "Aspects of the second law of thermodynamics in the presence of electromagnetic effects." The Quarterly Journal of Mechanics and Applied Mathematics 37.2 (1984): 179-193.

Neri, Izaak. "Second law of thermodynamics at stopping times." Physical Review Letters 124.4 (2020): 040601.

Sama, D. A. "The use of the second law of thermodynamics in process design." (1995): 179-185.

Wilming, Henrik, Rodrigo Gallego, and Jens Eisert. "Second law of thermodynamics under control restrictions." Physical Review E 93.4 (2016): 042126.

Seifert, Udo. "First and second law of thermodynamics at strong coupling." Physical review letters 116.2 (2016): 020601.

Jarzynski, Christopher. "Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale." Annu. Rev. Condens. Matter Phys. 2.1 (2011): 329-351.

Coveney, Peter V. "The second law of thermodynamics: entropy, irreversibility and dynamics." Nature 333.6172 (1988): 409-415.

Campisi, Michele. "Statistical mechanical proof of the second law of thermodynamics based on volume entropy." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39.1 (2008): 181-194.

Eu, Byung C. "Kinetic theory and irreversible thersmodynamics." STIA 93 (1992): 24498.

Cápek, Vladislav, and Daniel P. Sheehan. Challenges to the second law of thermodynamics. Dordrecht: Springer, 2005.

Shahsavari, Saeed, Mehran Moradi, "A Study of the Entropy Production in Physical Processes from a New Perspective of the Energy Structure." Asian Journal of Applied Sciences (ISSN: 2321–0893) 8.6 (2020).‏

Shahsavari, Saeed, Mehran Moradi, and Morteza Esmaeilpour. "On the Irreversibility in Mechanical Systems Using a New Macroscopic Energy Structure Modeling." Asian Journal of Applied Sciences (ISSN: 2321–0893) 8.6 (2020).‏

2021-02-26

How to Cite

Shahsavari, S. (2021). Basic Equation for the Different Coupled Equations between the First and Second Laws of Thermodynamics at Strong Coupling . Asian Journal of Applied Sciences, 9(1). https://doi.org/10.24203/ajas.v9i1.6495

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