One of Gibbs's ideas that has gone unnoticed (comment on chapter IX of his classic book)

We show that contrary to the commonly accepted view, Chapter IX of Gibbs’s book [1] contains the prolegomena to a macroscopic statistical theory that is qualitatively different from his own microscopic statistical mechanics. The formulas obtained by Gibbs were the first results in the history of physics related to the theory of fluctuations in any macroparameters, including temperature.

PACS: 01.65.+g, 05.20.−y, 05.40.−a (all)
DOI: 10.1070/PU2006v049n05ABEH005906
URL: https://ufn.ru/en/articles/2006/5/f/
Web of Science

000240400900006
Scopus

2-s2.0-33748575560
ADS NASA

2006PhyU...49..531S
Citation: Sukhanov A D, Rudoi Yu G "One of Gibbs's ideas that has gone unnoticed (comment on chapter IX of his classic book)" Phys. Usp. 49 531–535 (2006)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Суханов А Д, Рудой Ю Г «Об одной незамеченной идее Гиббса (комментарии к главе IX его классической книги)» УФН 176 551–555 (2006); DOI: 10.3367/UFNr.0176.200605g.0551

References (15) ↓ Cited by (8)

Gibbs J W Elementary Principles In Statistical Mechanics (New York: C. Scribner’s Sons, 1902)
Gibbs Dzh "Osnovnye printsipy statisticheskoi mekhaniki" v Kn.: Gibbs Dzh. Termodinamika. Statisticheskaya Mekhanika (M.: Nauka, 1982)
Gibbs J W Elementare Grundlagen Der Statistischen Mechanik (Deutsch bearb. von E Zermelo) (Leipzig: J.A. Barth, 1905)
Fowler R H Statistical Mechanics, The Theory Of The Properties Of Matter In Equilibrium 2nd ed. (Cambridge: The Univ. Press, 1936)
Landau L D, Lifshits E M Statisticheskaya Fizika 1-e izd. (M.-L.: GITTL, 1938); Landau L D, Lifshits E M Statisticheskaya Fizika 5-e izd. (M.: Fizmatlit, 2001)
Tolman R C The Principles Of Statistical Mechanics 2nd ed. (Oxford: The Clarendon Press, 1938)
Zubarev D N "Nauchnoe tvorchestvo Dzh. Gibbsa, Gibbs — osnovopolozhnik statisticheskoi mekhaniki" v Kn.: Gibbs Dzh. Termodinamika. Statisticheskaya Mekhanika (M.: Nauka, 1982) p. 560
Wightman A S "On the prescience of J. Willard Gibbs" in Proc. of the Gibbs Symp., Yale Univ., May 15 – 17, 1989 (Eds D G Caldi, G D Mostow) (Providence, RI: Am. Math. Soc., 1990) p. 23
Uffink J, van Lith J "Thermodynamic uncertainty relations" Found. Phys. 28 323 (1998)
Rudoi Yu G, Sukhanov A D "Termodinamicheskie fluktuatsii v podkhodakh Gibbsa i Einshteina" Usp. Fiz. Nauk 170 1265 (2000); Rudoi Yu G, Sukhanov A D "Thermodynamic fluctuations within the Gibbs and Einstein approaches" Phys. Usp. 43 1169 (2000)
Einstein A Ann. Phys. (Leipzig) 14 351 (1904); Einshtein A "K obshchei molekulyarnoi teorii teploty" v Kn. Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 67
Einstein A Ann. Phys. (Leipzig) 22 569 (1907); Einshtein A "O granitsakh primenimosti teoremy o termodinamicheskom ravnovesii" v Kn. Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 145
Einstein A in Proc. of the 1st Solvay Conf., Brussels, 1911 (Eds P Langevin, M de Broglie) (Paris: Gauthier-Villars, 1912) p. 407; Einshtein A "K sovremennomu sostoyaniyu problemy udel’noi teploemkosti" v Kn. Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 277
Sukhanov A D "Statistiko-termodinamicheskie idei Einshteina v sovremennoi fizicheskoi kartine mira (K 100-letiyu rannikh rabot Einshteina)" Fiz. Elem. Chast. At. Yad. 36 1281 (2005)
Rubakov V A Temnaya Materiya i Temnaya Energiya vo Vselennoi (M.: Fond «Dinastiya», 2005)