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Thermoelectric properties of a plasma at megabar pressures

  • Plasma, Hydro- and Gas Dynamics
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Abstract

A nonideal hydrogen plasma is theoretically studied for the first time as the working medium of a thermoelectric generator. A method is proposed for the calculation of the electrical conductivity, Seebeck coefficient, and thermal conductivity of the nonideal plasma in a wide range of densities and temperatures, including the region of strong degeneracy of electrons, which is achieved in experiments on the quasi-isentropic compression of deuterium and where a “plasma phase transition” (transition with a sharp change in the component composition) is possibly implemented. In this method, the kinetic coefficients are calculated together with the equation of states of the nonideal plasma. It is shown for the first time that the Seebeck coefficient in such a medium reaches 5500 μV/(K cm), which is an order of magnitude larger than that in currently available semiconductor materials used in thermoelectric generators. It is found that the figure of merit in hydrogen, which has a high thermal conductivity, at megabar pressures reaches 0.4, which is only slightly below that in currently available semiconductor materials.

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References

  1. V. E. Fortov, R. I. Ilkaev, V. A. Arinin, V. V. Burtzev, V.A. Golubev, I. L. Iosilevskiy, V. V. Khrustalev, A. L. Mikhailov, M. A. Mochalov, V. Ya. Ternovoi, and M. V. Zhernokletov, Phys. Rev. Lett. 99, 185001 (2007).

    Article  ADS  Google Scholar 

  2. G. E. Norman and A. N. Starostin, Teplofiz. Vys. Temp. 8, 413 (1970).

    Google Scholar 

  3. V. Dzyabura, M. Zaghoo, and I. F. Silvera, Proc. Natl. Acad. Sci. USA 110, 8040 (2013).

    Article  ADS  Google Scholar 

  4. M. D. Knudsen, M. P. Desjarlais, A. Becker, R.W. Lemke, K. R. Cockrane, M. E. Savage, D. E. Bliss, T. R. Mattsson, and R. Redmer, Science 348 (6242), 456 (2015).

    Google Scholar 

  5. W. Ebeling, Physica 43, 293 (1969).

    Article  ADS  Google Scholar 

  6. V. E. Fortov, V. Ya. Ternovoi, M. V. Zhernokletov, M. A. Mochalov, A. L. Mikhailov, A. S. Filimonov, A. A. Pyalling, V. B. Mintsev, V. K. Gryaznov, and I. L. Iosilevskii, J. Exp. Theor. Phys. 97, 259 (2003).

    Article  ADS  Google Scholar 

  7. I. L. Iosilevskii, Teplofiz. Vys. Temp. 18, 447 (1980).

    ADS  Google Scholar 

  8. V. K. Gryaznov and I. L. Iosilevskiy, Contrib. Plasma Phys. 56, 352 (2016).

    Article  ADS  Google Scholar 

  9. B. A. Timan, Zh. Eksp. Teor. Fiz. 25, 733 (1953).

    Google Scholar 

  10. V. A. Alekseev and V. A. Vedenov, Sov. Phys. Usp. 13, 830 (1970).

    Article  ADS  Google Scholar 

  11. V. K. Gryaznov, Yu. V. Ivanov, A. N. Starostin, and V. E. Fortov, Teplofiz. Vys. Temp. 14, 643 (1976).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).

    Google Scholar 

  13. L. Spitzer, Jr., Physics of Fully Ionized Gas (Wiley Interscience, New York, 1962).

    Google Scholar 

  14. V. K. Gryaznov and I. L. Iosilevskiy, J. Phys. A: Math. Theor. 42, 214007 (2009).

    Article  ADS  Google Scholar 

  15. A. Greenwood, Proc. Phys. Soc. 71 (460), 585 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  16. V. E. Fortov, V. Ya. Ternovoi, S. V. Kvitov, V. B. Mintsev, D. N. Nikolaev, A. A. Pyalling, and A. S. Filimonov, JETP Lett. 69, 926 (1999).

    Article  ADS  Google Scholar 

  17. L. L. Alves, J. Phys.: Conf. Ser. 565, 012007 (2014), IST-Lisbon Database. www.lxcat.net. Accessed September 3, 2016.

    Google Scholar 

  18. E. M. Livshits and L. P. Pitaevskii, Physical Kinetics (Fizmatlit, Moscow, 2002; Pergamon, Oxford, 1981).

    Google Scholar 

  19. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Fizmatlit, Moscow, 2005; Pergamon, New York, 1984).

    Google Scholar 

  20. L. A. Bol’shov and A. N. Starostin, in Proceedings of the 10th International Conference on Phenomena in Ionized Gase ICPIG, Oxford, Sept. 13–18, 1971, p.268.

    Google Scholar 

  21. J. M. Luttinger, Phys. Rev. A 135, 1505 (1964).

    Article  ADS  Google Scholar 

  22. S. I. Braginskii, in Plasma Theory Problems, Vol. 1: Transport Phenomena in Plasma, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963), p. 183 [in Russian].

  23. V. A. Alekseev, A. A. Vedenov, L. S. Krasitskaya, and A. N. Starostin, JETP Lett. 12, 351 (1970).

    ADS  Google Scholar 

  24. V. A. Alekseev, A. A. Vedenov, V. G. Ovcharenko, Yu. F. Ryzhkov, and A. N. Starostin, JETP Lett. 16, 49 (1972).

    ADS  Google Scholar 

  25. A. F. Ioffe, Semiconductor Thermoelements and Thermoelectric Cooling (Akad. Nauk SSSR, Moscow, Leningrad, 1960; Pion, London, 1958).

    Google Scholar 

  26. T. M. Tritt, H. Böttner, and L. Chen, MRS Bull. 33, 366 (2008).

    Article  Google Scholar 

  27. A. V. Dmitriev and I. P. Zvyagin, Phys. Usp. 53, 789 (2010).

    Article  ADS  Google Scholar 

  28. B. Song, X. Wang, and Z. Liu, Mol. Phys. 111, 49 (2013).

    Article  ADS  Google Scholar 

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Correspondence to A. V. Filippov.

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Original Russian Text © A.N. Starostin, V.K. Gryaznov, A.V. Filippov, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 104, No. 10, pp. 708–713.

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Starostin, A.N., Gryaznov, V.K. & Filippov, A.V. Thermoelectric properties of a plasma at megabar pressures. Jetp Lett. 104, 696–701 (2016). https://doi.org/10.1134/S0021364016220148

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  • DOI: https://doi.org/10.1134/S0021364016220148

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