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Rudolf Clausius

From Wikipedia, the free encyclopedia
German physicist and mathematician (1822–1888)
"Clausius" redirects here. For the lunar crater, seeClausius (crater).

Rudolf Clausius
Born
Rudolf Julius Emanuel Clausius

(1822-01-02)2 January 1822
Died24 August 1888(1888-08-24) (aged 66)
Known for
Awards
Scientific career
FieldsPhysics
Signature

Rudolf Julius Emanuel Clausius (German pronunciation:[ˈʁuːdɔlfˈklaʊzi̯ʊs];[1][2] 2 January 1822 – 24 August 1888) was a Germanphysicist andmathematician and is considered one of the central founding fathers of the science ofthermodynamics.[3] By his restatement ofSadi Carnot's principle known as theCarnot cycle, he gave thetheory of heat a truer and sounder basis. His most important paper, "On the Moving Force of Heat",[4] published in 1850, first stated the basic ideas of thesecond law of thermodynamics. In 1865 he introduced the concept ofentropy. In 1870 he introduced thevirial theorem, which applied toheat.[5]

Life

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Clausius was born inKöslin (nowKoszalin, Poland) in theProvince of Pomerania inPrussia. His father was aProtestant pastor and school inspector,[6] and Rudolf studied in the school of his father. In 1838, he went to theGymnasium inStettin. Clausius graduated from theUniversity of Berlin in 1844 where he had studied mathematics and physics since 1840 withGustav Magnus,Peter Gustav Lejeune Dirichlet, andJakob Steiner. He also studied history withLeopold von Ranke. During 1848, he got his doctorate from theUniversity of Halle on optical effects in Earth's atmosphere. In 1850 he became professor of physics at theRoyal Artillery and Engineering School in Berlin and Privatdozent at the Berlin University. In 1855 he became professor at theETH Zürich, the Swiss Federal Institute of Technology inZürich, where he stayed until 1867. During that year, he moved toWürzburg and two years later, in 1869 toBonn.[7]

In 1870 Clausius organized an ambulance corps in theFranco-Prussian War. He was wounded in battle, leaving him with a lasting disability. He was awarded theIron Cross for his services.

His wife, Adelheid Rimpau died in 1875, leaving him to raise their six children. In 1886, he married Sophie Sack, and then had another child. Two years later, on 24 August 1888, he died inBonn, Germany.[8]

Work

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Clausius's PhD thesis concerning the refraction of light proposed that we see a blue sky during the day, and various shades of red at sunrise and sunset (among other phenomena) due to reflection and refraction of light. Later,Lord Rayleigh would show that it was in fact due to the scattering of light.

His most famous paper,Ueber die bewegende Kraft der Wärme ("On the Moving Force of Heat and the Laws of Heat which may be Deduced Therefrom")[9]was published in 1850, and dealt with the mechanical theory of heat. In this paper, he showed there was a contradiction betweenCarnot's principle and the concept ofconservation of energy. Clausius restated the twolaws of thermodynamics to overcome this contradiction. This paper made him famous among scientists. (Thethird law was developed byWalther Nernst, during the years 1906–1912).

Clausius's most famous statement of the second law of thermodynamics was published in German in 1854,[10] and in English in 1856.[11]

Heat can never pass from a colder to a warmer body without some other change, connected therewith, occurring at the same time.

During 1857, Clausius contributed to the field ofkinetic theory after refiningAugust Krönig's very simple gas-kinetic model to include translational, rotational and vibrational molecular motions. In this same work he introduced the concept of 'Mean free path' of a particle.[12][13][14]

Clausius deduced theClausius–Clapeyron relation from thermodynamics. This relation, which is a way of characterizing thephase transition between two states of matter such assolid andliquid, had originally been developed in 1834 byÉmile Clapeyron.

  • 1864 edition of Clausius's Abhandlungen über die mechanische Wärmetheorie, volume I
    1864 edition of Clausius'sAbhandlungen über die mechanische Wärmetheorie, volume I
  • Title page of an 1864 edition of Clausius's Abhandlungen über die mechanische Wärmetheorie, volume I
    Title page of an 1864 edition of Clausius'sAbhandlungen über die mechanische Wärmetheorie, volume I
  • 1879 English translation of Clausius's The Mechanical Theory of Heat
    1879 English translation of Clausius'sThe Mechanical Theory of Heat
  • Title page of an 1879 English translation of Clausius's The Mechanical Theory of Heat
    Title page of an 1879 English translation of Clausius'sThe Mechanical Theory of Heat

Entropy

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Main article:History of entropy
See also:History of thermodynamics § Rudolf Clausius

In 1865, Clausius gave the first mathematical version of the concept ofentropy, and also gave it its name.[8] Clausius chose the word because the meaning (fromGreek ἐνen "in" and τροπήtropē "transformation") is "content transformative" or "transformation content" ("Verwandlungsinhalt").[4][15][16]

I prefer going to the ancient languages for the names of important scientific quantities, so that they may mean the same thing in all living tongues. I propose, accordingly, to call S the entropy of a body, after the Greek word 'transformation'. I have designedly coined the word entropy to be similar to 'energy', for these two quantities are so analogous in their physical significance, that an analogy of denomination seemed to me helpful.

— Rudolf Clausius, Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie

He used the now abandoned unit 'Clausius' (symbol:Cl) for entropy.[17]

1 Clausius (Cl) = 1calorie/degree Celsius (cal/°C) = 4.1868joules perkelvin (J/K)

The landmark 1865 paper in which he introduced the concept of entropy ends with the following summary of the first and second laws of thermodynamics:[4]

The energy of the universe is constant.
The entropy of the universe tends to a maximum.

Leon Cooper[16] added that in this way he succeeded in coining a word that meant the same thing to everybody: nothing.

Tributes

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Memorial stone in front of theKoszalin University of Technology in Poland, with the laws of thermodynamics as formulated by Clausius

Publications

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See also

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References

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  1. ^Dudenredaktion; Kleiner, Stefan; Knöbl, Ralf (2015) [First published 1962].Das Aussprachewörterbuch [The Pronunciation Dictionary] (in German) (7th ed.). Berlin: Dudenverlag. pp. 280, 744.ISBN 978-3-411-04067-4.
  2. ^Krech, Eva-Maria; Stock, Eberhard; Hirschfeld, Ursula; Anders, Lutz Christian (2009).Deutsches Aussprachewörterbuch [German Pronunciation Dictionary] (in German). Berlin: Walter de Gruyter. pp. 416, 884.ISBN 978-3-11-018202-6.
  3. ^Cardwell, D.S.L. (1971),From Watt to Clausius: The Rise of Thermodynamics in the Early Industrial Age, London: Heinemann,ISBN 978-0-435-54150-7
  4. ^abcClausius, R. (1867).The Mechanical Theory of Heat – with its Applications to the Steam Engine and to Physical Properties of Bodies. London: John van Voorst. Retrieved19 June 2012.editions:PwR_Sbkwa8IC. Contains English translations of many of his other works.
  5. ^Clausius, RJE (1870). "On a Mechanical Theorem Applicable to Heat".Philosophical Magazine. 4th Series.40:122–127.
  6. ^Emilio Segrè (2012).From Falling Bodies to Radio Waves: Classical Physicists and Their Discoveries. Courier Dover Publications. p. 228
  7. ^"Rudolf Clausius, Prof. Dr".physik.uzh.ch (in German). Universität Zürich. Retrieved18 June 2021.
  8. ^abCropper, William H. (2004)."The Road to Entropy Rudolf Clausius".Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking. Oxford University Press. pp. 93–105.ISBN 978-0-19-517324-6. Retrieved25 March 2014.
  9. ^Clausius, R. (1850)."Ueber die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen".Annalen der Physik.79 (4):368–397,500–524.Bibcode:1850AnP...155..500C.doi:10.1002/andp.18501550403.hdl:2027/uc1.$b242250.. See English Translation:On the Moving Force of Heat, and the Laws regarding the Nature of Heat itself which are deducible therefrom. Phil. Mag. (1851), series 4,2, 1–21, 102–119. Also available onGoogle Books.
  10. ^Clausius, R. (1854)."Ueber eine veränderte Form des zweiten Hauptsatzes der mechanischen Wärmetheoriein".Annalen der Physik und Chemie.93 (12):481–506.Bibcode:1854AnP...169..481C.doi:10.1002/andp.18541691202. Retrieved25 June 2012.
  11. ^Clausius, R. (August 1856)."On a Modified Form of the Second Fundamental Theorem in the Mechanical Theory of Heat".Phil. Mag. 4.12 (77):81–98.doi:10.1080/14786445608642141. Retrieved25 June 2012.
  12. ^Clausius, R. (1857),"Über die Art der Bewegung, die wir Wärme nennen",Annalen der Physik,100 (3):353–379,Bibcode:1857AnP...176..353C,doi:10.1002/andp.18571760302
  13. ^Clausius, R. (1862),"Ueber die Wärmeleitung gasförmiger Körper",Annalen der Physik,115 (1):1–57,Bibcode:1862AnP...191....1C,doi:10.1002/andp.18621910102
  14. ^Clausius, R. (1864),Abhandlungen über die Mechanische Wärmetheorie. Electronic manuscript from theBibliothèque nationale de France.
  15. ^Clausius, R. (1865),"Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie",Annalen der Physik,125 (7):353–400,Bibcode:1865AnP...201..353C,doi:10.1002/andp.18652010702
  16. ^abCooper, Leon N. (1968).An Introduction to the Meaning and Structure of Physics. Harper. p. 331.
  17. ^Huang, Mei-Ling; Hung, Yung-Hsiang; Chen, Wei-Yu (1 October 2010). "Neural Network Classifier with Entropy Based Feature Selection on Breast Cancer Diagnosis".Journal of Medical Systems.34 (5):865–873.doi:10.1007/s10916-009-9301-x.ISSN 1573-689X.PMID 20703622.S2CID 6658005.
  18. ^"R.J.E. Clausius (1822–1888)". Royal Netherlands Academy of Arts and Sciences. Retrieved21 July 2015.
  19. ^Memoirs and Proceedings of the Manchester Literary & Philosophical Society. Fourth Series. Vol. II. Manchester: The Manchester Literary & Philosophical Society. 1889. p. 1.

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