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A variational approach to irreversible thermodynamics

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Abstract

We derived a general Onsager variational principle in an intuitive and simple manner. Our variational method is similar to the Gauss principle of least constraint rather than the principle of least action. Our result becomes the original Onsager principle if dissipation function is a quadratic function of fluxes and sources. Our result also agrees with previous thermodynamic theories.

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Acknowledgements

This work was supported by the Mid-Career Researcher Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2019R1I1A2A02063776). The author would like to thank Professor B. C. Eu (McGill University, Canada) and Professor Peter Daivies (RMIT University, Australia) for the discussions on irreversible thermodynamics and nonequilibrium statistical mechanics.

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Authors and Affiliations

  1. Department of Polymer Science and Engineering, Kyungpook National University, Daegu, Korea

    Kwang Soo Cho & Junghaeng Lee

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  1. Kwang Soo Cho
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  2. Junghaeng Lee
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Correspondence to Kwang Soo Cho.

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Cho, K.S., Lee, J. A variational approach to irreversible thermodynamics. J. Korean Phys. Soc. 79, 230–241 (2021). https://doi.org/10.1007/s40042-021-00217-9

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