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Pythagorean means and Carnot machines

When music meets heat

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Abstract

This article explores some interesting relations between Pythagorean means (arithmetic, geometric, and harmonic means) and the coefficients of performance of reversible Carnot machines (heat engine, refrigerator, and heat pump).

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Suggested Reading

  1. Sir Thomas Heath, A History of Greek Mathematics, Vol.1, Oxford: Clarendon Press, 1921.

    Google Scholar 

  2. P T Landsberg, A Thermodynamic Proof of the Inequality Between Arithmetic and Geometric mean, Phys. Lett., Vol.67A, No.1, 1978.

    Google Scholar 

  3. M A B Deakin and G J Group, The Logical Status of Thermodynamic Proofs of Mathematical Theorems, Phys. Lett., Vol.83A, p.239, 1981.

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  4. R J Tykodi, Using Model Systems to Demonstrate Instances of Mathematical Inequalities, Am. J. Phys., Vol. 64, p.644, 1996.

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  5. R S Johal, Optimal Performance of Heat Engines With a Finite Source or Sink and Inequalities Between Means, Phys. Rev., E 94, 012123, 2016.

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Correspondence to Ramandeep S Johal.

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Ramandeep Johal explores the foundations of thermodynamics through investigations on finite-time thermodynamics, inference and quantum thermodynamics. His first book of poems The Sea of Tranquility has been published by the Writers Workshop, Kolkata, in 2016.

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Johal, R.S. Pythagorean means and Carnot machines. Reson 22, 1193–1203 (2017). https://doi.org/10.1007/s12045-017-0581-z

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  • DOI: https://doi.org/10.1007/s12045-017-0581-z

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