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Methodological notes


Golden section in the Carnot cycle

,
International A. Bogdanov Institute, ul. Chebysheva 4, Ekaterinburg, 620062, Russian Federation

Some aspects of classical thermodynamics are analyzed for the presence of duality and of the golden section.

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Fulltext is also available at DOI: 10.1070/PU2000v043n11ABEH000837
PACS: 01.55.+b, 01.70.+w, 02.10.Lh, 05.70.−a (all)
DOI: 10.1070/PU2000v043n11ABEH000837
URL: https://ufn.ru/en/articles/2000/11/f/
000166314900008
Citation: Popkov V V, Shipitsyn E V "Golden section in the Carnot cycle" Phys. Usp. 43 1155–1157 (2000)
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Îðèãèíàë: Ïîïêîâ Â Â, Øèïèöèí Å Â «Çîëîòîå ñå÷åíèå â öèêëå Êàðíî» ÓÔÍ 170 1253–1255 (2000); DOI: 10.3367/UFNr.0170.200011j.1253

References (19) ↓ Cited by (1) Similar articles (18)

  1. Timerding H E Der Goldene Schnitt (Leipzig: B.G. Teubner, 1919) [Translated into Russian (Petrograd: Nauchnoe Knigoizdatel’stvo, 1924)]
  2. Shevelev I Sh, Marutaev M A, Shmelev I P Zolotoe Sechenie (Golden Section, Moscow: Stroîizdat, 1990)
  3. Euclid Nachala Evklida (Principles, Translated from the Greek and commented by D D Mordukhaî-Boltovskiî, Eds M Ya Vygodskiî, I N Veselovskiî, Moscow-Leningrad: Gostekhteorizdat, 1949-1950); The Elements of Euclid (Philadelphia: Desilver & Thomas, 1834)
  4. Akhutin A V Istoriya Printsipov Fizicheskogo Eksperimenta. Ot Antichnosti do XVII Veka (History of Principles of the Physical Experiment. From Antiquity to 17th Century, Moscow: Nauka, 1976)
  5. Vorob’ev N N Chisla Fibonachchi (The Fibonacci Numbers) 6th ed. (Moscow: Nauka, 1992) [Translated and adapted from the 1st Russian ed. (1951, Boston: Heath, 1963)]
  6. Lebedev Yu S et al. Arkhitekturnaya Bionika (Architectural Bionics, Ed. Yu S Lebedev, Moscow: Stroîizdat, 1990)
  7. Gika M Estetika Proportsiî v Prirode i Iskusstve (Esthetics of Proportions in Nature and Art, Moscow: Izd. Akademii Arkhitektury, 1936)
  8. Butusov K P "Zolotoe sechenie v Solnechnoî sisteme" ("Golden section in solar system"), in Astrometriya i Nebesnaya Mekhanika (Astrometry and Celestial Mechanics, Collected papers celebrating 90th birthday of A A Mikhaîlov, Moscow-Leningrad: Izd. AN SSSR, 1978)
  9. Petukhov S V Biomekhanika, Bionika i Simmetriya (Biomechanics, Bionics, and Symmetry, Moscow: Nauka, 1981)
  10. Lefevr V A Formula Cheloveka (Kontury Fundamental’noî Psikhologii, Formula of Man. Contours of Fundamental Psychology, Moscow: Progress, 1991)
  11. Stakhov A P Kody Zolotoî Proportsii (Codes of Golden Proportion, Moscow: Radio i Svyaz’, 1984)
  12. Sabaneev L Etyudy Shopena v Osveshchenii Zakona Zolotogo Secheniya (Chopin Etudes in the Light of the Law of Golden Section, Moscow: Iskusstvo, 1925)
  13. Le Corbusier Arkhitektura XX Veka (Architecture of 20th Century, Moscow: Progress, 1970)
  14. Bazarov I P Termodinamika (Thermodynamics, Moscow: Vysshaya Shkola, 1991) [Translated into English (Oxford: Pergamon Press, 1964)]
  15. Rumer Yu B, Ryvkin M S Termodinamika, Statisticheskaya Fizika i Kinetika (Thermodynamics, Statistical Physics, and Kinetics) 2nd ed. (Moscow: Nauka, 1977) [Translated into English (Moscow: Mir, 1980)]
  16. Einstein A Fizika i Real’nost’ (Physics and Reality) Collected papers (Moscow: Nauka, 1965)
  17. Carnot S Réflexions sur la Puissance Motrice du fen sur les Machines (Paris: Chez Bachelier, 1824) [Translated into English: Reflections on the Motive Power of Heat and on Machines Fitted to Develop That Power (New York: J. Wiley & Sons, 1890)] [Translated into Russian: Razmyshleniya o Dvizhushcheî Sile Ognya i o Mashinakh, Sposobnykh Razvivat’ Étu Silu (Vtoroe Nachalo Termodinamiki, Ed. A K Timiryazev, Moscow€--€Leningrad: Gostekhteorizdat, 1934) p. 15)]
  18. Brodyanskiî V M Sadi Carnot (1796-1832, Moscow: Nauka, 1993)
  19. Fenn J B Engines, Energy and Entropy (New York: W.H. Freeman and Co., 1982) [Translated into Russian (Moscow: Mir, 1986)]

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