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Relativistic transformations of thermodynamic quantities

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Abstract

A unique solution is proposed to the problem of how thermodynamic processes between thermodynamic systems at relative rest “appear” to a moving observer. Assuming only transformations for entropy, pressure, and volume and the invariance of the “fundamental thermodynamic equation,” one can derive transformations for (thermodynamic) energy and temperature. The invariance of the first and second laws entails transformations for work and heat. All thermodynamic relations become Lorentz-invariant. The transformations thus derived are in principle equivalent to those of Einstein and Planck, except that our expressions for energy and work do not include the mass motion energy. This results in a simpler formulation and endows our transformations (especially that of temperature) with a straightforward physical interpretation.

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References

  1. A. Einstein,Jahrb. Radioakt. Elektronik. 4, 411 (1907).

    Google Scholar 

  2. M. Planck,Ann. Physik 26, 1 (1908);Eight Lectures on Theoretical Physics, transl. by A. P. Wills (Columbia Univ. Press, New York, 1915).

    Google Scholar 

  3. R. C. Tolman,Relativity, Thermodynamics and Cosmology (Clarendon, Oxford, England, 1934).

    Google Scholar 

  4. H. Ott,Z. Physik 175, 70 (1963).

    Google Scholar 

  5. P. T. Landsberg,Proc. Phys. Soc. (Lond.) 89, 1007 (1966);Nature 212, 571 (1966).

    Google Scholar 

  6. P. T. Landsberg and K. A. Johns,Proc. Roy. Soc. A 306, 477 (1968).

    Google Scholar 

  7. R. K. Pathria,Proc. Phys. Soc. 88, 791 (1966).

    Google Scholar 

  8. R. K. Pathria,Proc. Phys. Soc. 91, 1 (1967).

    Google Scholar 

  9. R. K. Pathria, inA Critical Review of Thermodynamics (Mono Book Corp., Baltimore, 1970), p. 119.

    Google Scholar 

  10. N. G. D. van Kampen,Phys. Rev. 173, 295 (1968).

    Google Scholar 

  11. T. W. B. Kibble,Nuovo Cim. 41B, 72 (1966).

    Google Scholar 

  12. H. B. Callen and G. Horwitz,Am. J. Phys. 39/8, 938 (1971).

    Google Scholar 

  13. H. B. Callen,Thermodynamics (Wiley, New York, 1960).

    Google Scholar 

  14. M. Louis de Broglie,La Thermodynamique de la Particule Isolée (Gauthier-Villars, Paris, 1964), Chapter IV.

    Google Scholar 

  15. E. T. Jaynes,Phys. Rev. 106, 620 (1957).

    Google Scholar 

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Agmon, N. Relativistic transformations of thermodynamic quantities. Found Phys 7, 331–339 (1977). https://doi.org/10.1007/BF00711486

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  • DOI: https://doi.org/10.1007/BF00711486

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