Golden section in the Carnot cycle

Valerian V. Popkov; Evgenii V. Shipitsyn

RSS feeds

Issue 4, 2024

Issues

/

2000

/

November

← →

Methodological notes

Golden section in the Carnot cycle

V.V. Popkov, E.V. Shipitsyn
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.

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/
Web of Science

000166314900008
Citation: Popkov V V, Shipitsyn E V "Golden section in the Carnot cycle" Phys. Usp. 43 1155–1157 (2000)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Попков В В, Шипицин Е В «Золотое сечение в цикле Карно» УФН 170 1253–1255 (2000); DOI: 10.3367/UFNr.0170.200011j.1253

References (19) ↓ Cited by (1) Similar articles (17)

Timerding H E Der Goldene Schnitt (Leipzig: B.G. Teubner, 1919) [Translated into Russian (Petrograd: Nauchnoe Knigoizdatel’stvo, 1924)]
Shevelev I Sh, Marutaev M A, Shmelev I P Zolotoe Sechenie (Golden Section, Moscow: Stroîizdat, 1990)
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)
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)
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)]
Lebedev Yu S et al. Arkhitekturnaya Bionika (Architectural Bionics, Ed. Yu S Lebedev, Moscow: Stroîizdat, 1990)
Gika M Estetika Proportsiî v Prirode i Iskusstve (Esthetics of Proportions in Nature and Art, Moscow: Izd. Akademii Arkhitektury, 1936)
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)
Petukhov S V Biomekhanika, Bionika i Simmetriya (Biomechanics, Bionics, and Symmetry, Moscow: Nauka, 1981)
Lefevr V A Formula Cheloveka (Kontury Fundamental’noî Psikhologii, Formula of Man. Contours of Fundamental Psychology, Moscow: Progress, 1991)
Stakhov A P Kody Zolotoî Proportsii (Codes of Golden Proportion, Moscow: Radio i Svyaz’, 1984)
Sabaneev L Etyudy Shopena v Osveshchenii Zakona Zolotogo Secheniya (Chopin Etudes in the Light of the Law of Golden Section, Moscow: Iskusstvo, 1925)
Le Corbusier Arkhitektura XX Veka (Architecture of 20th Century, Moscow: Progress, 1970)
Bazarov I P Termodinamika (Thermodynamics, Moscow: Vysshaya Shkola, 1991) [Translated into English (Oxford: Pergamon Press, 1964)]
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)]
Einstein A Fizika i Real’nost’ (Physics and Reality) Collected papers (Moscow: Nauka, 1965)
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, MoscowЂ--ЂLeningrad: Gostekhteorizdat, 1934) p. 15)]
Brodyanskiî V M Sadi Carnot (1796-1832, Moscow: Nauka, 1993)
Fenn J B Engines, Energy and Entropy (New York: W.H. Freeman and Co., 1982) [Translated into Russian (Moscow: Mir, 1986)]