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Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields

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Abstract

We study the nonequilibrium pressure and temperatures within the framework of extended thermodynamics of gases with 6 independent fields. We derive thermodynamic relations for these quantities from the entropy principle. These relations indicate the usefulness of nonequilibrium thermodynamic potentials. We also introduce the nonequilibrium temperatures by using the caloric equation of state, and prove that the two different definitions of nonequilibrium temperature are equivalent to each other.

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Acknowledgements

The present paper is dedicated to Prof. Tommaso Ruggeri on the occasion of his 70th birthday. We are extremely grateful to him for providing us his attractive guidance to the field of extended thermodynamics. This work was partially supported by JSPS KAKENHI Grant No. JP15K21452 (T.A.).

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Kanagawa University, Yokohama, Japan

    Takashi Arima

  2. Nagoya Institute of Technology, Nagoya, Japan

    Masaru Sugiyama

Authors
  1. Takashi Arima
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  2. Masaru Sugiyama
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Correspondence to Takashi Arima.

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Arima, T., Sugiyama, M. Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields. Ricerche mat 68, 211–224 (2019). https://doi.org/10.1007/s11587-018-0399-3

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  • DOI: https://doi.org/10.1007/s11587-018-0399-3

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