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An asymptotics of the Pauli problem in thermodynamics

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Abstract

A generalization of the quasithermodynamic theory of fluctuations is suggested. Motivated by an analogy with quantum mechanics, we state a Pauli problem concerning a reconstruction of a “wavefunction” based on the probability densities of the fluctuations of intensive and extensive thermodynamic quantities. The paper contains a theorem about the existence of approximate solutions of the problem mentioned in the co-called “subtropical” case.

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References

  1. L. D. Landau and E. M. Lifshitz, Statistical Physics (Butterworth-Heinemann, Oxford, 1980; Fizmatlit, Moscow, 2003), Vol. 1.

    Google Scholar 

  2. B. Mandelbrot, Ann. Math. Stat. 33, 1021–1038 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  3. G. Ruppeiner, Rev. Mod. Phys. 67, 605–659 (1995).

    Article  MathSciNet  Google Scholar 

  4. J. Uffink and J. van Lith, Found. Phys. 29, 655–692 (1999).

    Article  MathSciNet  Google Scholar 

  5. A. Ibort, V. I. Man’ko, G. Marmoc, et al., Phys. Scr. 79, 065013 (2009).

    Article  Google Scholar 

  6. D. Acosta, P. Fernández de Córdoba, J. M. Isidro, and J. L. G. Santander, Int. J. Geom. Methods Mod. Phys. 10, 1350007 (2013).

    Article  MathSciNet  Google Scholar 

  7. C. Rovelli, Class. Quantum Grav. 10, 1549–1566 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  8. V. P. Maslov, Funct. Anal. Appl. 28, 247–256 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  9. V. P. Maslov, Theor. Math. Phys. 101, 1466–1472 (1994).

    Article  MATH  Google Scholar 

  10. V. P. Maslov and V. E. Nazaikinskii, Funct. Anal. Appl. 40, 173–187 (2006).

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to A. E. Ruuge.

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Original Russian Text © A.E. Ruuge, 2013, published in Doklady Akademii Nauk, 2013, Vol. 450, No. 6, pp. 647–650.

The article was translated by the author.

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Ruuge, A.E. An asymptotics of the Pauli problem in thermodynamics. Dokl. Math. 87, 360–363 (2013). https://doi.org/10.1134/S1064562413030332

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  • DOI: https://doi.org/10.1134/S1064562413030332

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