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Essence of the third law: The delineation of two forms of thermodynamics

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Il Nuovo Cimento B (1971-1996)

Summary

The third law is generalized to the effect that for systems in internal thermodynamic equilibrium, either the entropy tends to zero with the temperature, implying a state of complete order, or the entropy tends to its maximum value as the temperature increases without limit, indicating a state of complete disorder.

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References

  1. Wilks J.,The Third Law of Thermodynamics (Oxford University Press, London) 1961, pp. 32–33.

    Google Scholar 

  2. Callen H. B.,Thermodynamics, 2nd edition (Wiley, New York, N.Y.) 1985, p. 30.

    Google Scholar 

  3. Hardy G. H., Littlewood J. E. andPólya G.,Inequalities, 2nd edition (Cambridge University Press, London) 1952, Sect. 3.5.

    Google Scholar 

  4. Dunning-Davies J.,Found. Phys. Lett,6 (1993) 289.

    Article  MathSciNet  Google Scholar 

  5. Jensen J. L. W. V.,Acta Math.,30 (1906) 175.

    Article  MathSciNet  Google Scholar 

  6. Landsberg P. T. andTranah D.,Collective Phenomena,3 (1980) 73.

    MathSciNet  Google Scholar 

  7. Landsberg P. T. andTranah D.,Phys. Lett. A,78 (1980) 219.

    Article  MathSciNet  ADS  Google Scholar 

  8. Lorentz H. A.,Lectures on Theoretical Physics, Vol.II (Macmillan, London) 1927, p. 246.

    Google Scholar 

  9. Khinchin A. I.,Mathematical Foundations of Statistical Mechanics, translated byG. Gamow (Dover, New York, N.Y.) 1949, Sect. 33.

    Google Scholar 

  10. Lavenda B. H.,Statistical Physics: A Probabilistic Approach (Wiley-Interscience, New York, N.Y.) 1991, Chapt. 4.

    Google Scholar 

  11. Gnedenko B. V. andKolmogorov A. N.,Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Cambridge) 1954.

    Google Scholar 

  12. Lavenda B. H. andFlorio A.,Int J. Theor. Phys.,31 (1992) 1455.

    Article  MathSciNet  Google Scholar 

  13. Lavenda B. H. andCompiani M.,Phys. Essays,6 (1993) 320.

    Article  MathSciNet  ADS  Google Scholar 

  14. Lavenda B. H.,Z. Naturforsch. A,48 (1993) 557.

    Article  ADS  Google Scholar 

  15. Bekenstein J. D.,Lett. Nuovo Cimento,4 (1972) 737;Phys. Rev. D,7 (1973) 2333;9 (1974) 3292;Hawking S. W.,Phys. Rev. D,13 (1976) 2460;Bekenstein J. D.,Phys. Rev. D,49 (1994) 1912.

    Article  ADS  Google Scholar 

  16. Lavenda B. H. andDunning-Davies J.,Nature,368 (1994) 284.

    Article  ADS  Google Scholar 

  17. Aczel J. andDaróczy Z.,On Measures of Information and their Characterization (Academic Press, New York, N.Y.) 1975, p. 36.

    Google Scholar 

  18. Lavenda B. H. andDunning-Davies J.,Found. Phys. Lett.,3 (1990) 435.

    Article  MathSciNet  Google Scholar 

  19. Tranah D. andLandsberg P. T.,Collective Phenomena,3 (1980) 81;Landsberg P. T.,J. Stat. Phys.,35, (1984) 159;Landsberg P. T., inBlack Hole Physics, edited byV. de Sabbata andZ. Zhang (Huwer, Dordrecht) 1992.

    MathSciNet  Google Scholar 

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Work supported by the EU Human Capital and Mobility Programme (Contract No. ERBCHRXCT920007).

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Lavenda, B.H., Dunning-Davies, J. Essence of the third law: The delineation of two forms of thermodynamics. Nuov Cim B 110, 265–276 (1995). https://doi.org/10.1007/BF02741368

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