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Thermodynamics & Entropy: Carnot, Joule, Clausius & Boltzmann

Encyclopedia/1. The Cosmos & The Natural World/2. Physics & Chemistry/04. Thermodynamics & Statistical Mechanics  •  Curated by Admin Timeline.sg

A timeline of key milestones in thermodynamics and entropy, from Carnot's heat engine to Shannon's information entropy, covering a century of development.

Chronological Storyline (37 Milestones)

1824 CE

Carnot publishes 'Reflections on the Motive Power of Fire'

Sadi Carnot introduces the concept of the heat engine cycle and efficiency, laying the foundation for thermodynamics. )

1834 CE

Clapeyron reformulates Carnot's cycle

Benoît Clapeyron presents Carnot's ideas in a graphical form, introducing the Clapeyron equation.

Clapeyron reformulates Carnot's cycle
Clapeyron reformulates Carnot's cycle
By (Unknown) - http://www.annales.org/archives/x/clapeyron.html, Public domain, https://commons.wikimedia.org/w/index.php?curid=42737840
1840 CE

Hess's law of heat summation

Germain Hess states that the total heat change in a chemical reaction is independent of the pathway.

Hess's law of heat summation
Hess's law of heat summation
By Wolfmankurd at English Wikipedia - Transferred from en.wikipedia to Commons., Public domain, https://commons.wikimedia.org/w/index.php?curid=1982170
1842 CE

Mayer states conservation of energy

Julius Robert von Mayer proposes the mechanical equivalent of heat and the conservation of energy, a precursor to the first law.

Mayer states conservation of energy
Mayer states conservation of energy
By Friedrich Berrer - taken from https://www.booksandthings.co.uk/Prints/meyer.php and cropped, Public domain, https://commons.wikimedia.org/w/index.php?curid=132081454
1843 CE

Joule measures mechanical equivalent of heat

James Prescott Joule publishes his experiments establishing the quantitative relationship between work and heat.

Joule measures mechanical equivalent of heat
Joule measures mechanical equivalent of heat
By Henry Roscoe - The Life & Experiences of Sir Henry Enfield Roscoe (Macmillan: London and New York), p. 120, Public domain, https://commons.wikimedia.org/w/index.php?curid=3119134
1848 CE

Kelvin proposes absolute temperature scale

William Thomson (Lord Kelvin) defines the absolute temperature scale independent of substance properties.

Kelvin proposes absolute temperature scale
Kelvin proposes absolute temperature scale
By T. & R. Annan & Sons; restored by Adam Cuerden[1] - National Galleries of Scotland Accession number: PGP 230.1, Public domain, https://commons.wikimedia.org/w/index.php?curid=141105716
1850 CE

Clausius states the second law of thermodynamics

Rudolf Clausius states that heat cannot spontaneously pass from a colder to a hotter body.

Clausius states the second law of thermodynamics
Clausius states the second law of thermodynamics
By Picture taken by Theo Schafgans (1859–1907), Bonn; heliogravüre by Meisenbach, Riffarth & Co. Berlin. Scanned, image processed and uploaded by Kuebi = Armin Kübelbeck - Zeitschrift für Physikalische Chemie, Band 21, von 1896, Public domain, https://commons.wikimedia.org/w/index.php?curid=12026179
1851 CE

Kelvin's statement of the second law

Lord Kelvin offers a complementary formulation: it is impossible to convert heat completely into work without other changes.

1852 CE

Joule-Thomson effect discovered

Joule and Kelvin discover that a gas cools when expanding without doing work, crucial for liquefaction.

1854 CE

Clausius introduces the concept of entropy

Clausius coins the term 'entropy' (from Greek for 'transformation') and formulates the first and second laws compactly.

1859 CE

Maxwell's kinetic theory of gases

James Clerk Maxwell publishes his dynamical theory of gases, deriving the distribution of molecular speeds.

Maxwell's kinetic theory of gases
Maxwell's kinetic theory of gases
By Unknown author - https://www.researchgate.net/figure/James-Clerk-Maxwell-1831-1879_fig1_360164096, Public domain, https://commons.wikimedia.org/w/index.php?curid=129476608
1865 CE

Clausius coins the word 'entropy'

Rudolf Clausius introduces the term entropy and states 'the energy of the universe is constant; the entropy tends to a maximum.' )

1866 CE

Boltzmann's kinetic theory of entropy

Ludwig Boltzmann publishes his first paper linking entropy to molecular motion, extending Maxwell's work.

Boltzmann's kinetic theory of entropy
Boltzmann's kinetic theory of entropy
By Unknown author - A version is at Uni Frankfurt. The new source is not linked, but note I did clean up some water damage at the edges., Public domain, https://commons.wikimedia.org/w/index.php?curid=865671
1872 CE

Boltzmann's H-theorem

Ludwig Boltzmann derives the H-theorem, showing that entropy tends to increase from a statistical perspective.

1873 CE

Gibbs introduces graphical thermodynamics

Josiah Willard Gibbs publishes his first paper on the geometric representation of thermodynamic quantities.

Gibbs introduces graphical thermodynamics
Gibbs introduces graphical thermodynamics
By Unknown. Uploaded by Serge Lachinov (обработка для wiki) - Frontispiece of The Scientific Papers of J. Willard Gibbs, in two volumes, eds. H. A. Bumstead and R. G. Van Name, (London and New York: Longmans, Green, and Co., 1906), Public domain, https://commons.wikimedia.org/w/index.php?curid=7919387
1876 CE

Gibbs publishes 'On the Equilibrium of Heterogeneous Substances'

Gibbs formulates the phase rule, chemical potential, and conditions for equilibrium, founding chemical thermodynamics.

Gibbs publishes 'On the Equilibrium of Heterogeneous Substances'
Gibbs publishes 'On the Equilibrium of Heterogeneous Substances'
By Eric Gaba (Sting - fr:Sting) - Own workBased upon Image:Carnot-engine.png, Public domain, https://commons.wikimedia.org/w/index.php?curid=1382360
1877 CE

Boltzmann's entropy formula S = k log W

Boltzmann connects entropy to the number of microstates, giving a statistical interpretation of the second law.

Boltzmann's entropy formula S = k log W
Boltzmann's entropy formula S = k log W
By User:Daderot http://en.wikipedia.org/wiki/User:Daderot - http://en.wikipedia.org/wiki/Image:Zentralfriedhof_Vienna_-_Boltzmann.JPG, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=12009481
1883 CE

Andrews identifies critical point of CO₂

Thomas Andrews experimentally determines the critical temperature and pressure of carbon dioxide. )

Andrews identifies critical point of CO₂
Andrews identifies critical point of CO₂
By Peter Guthrie Tait and Alexander Crum Brown - Frontispiece of The Scientific Papers of the Late Thomas Andrews, Public domain, https://commons.wikimedia.org/w/index.php?curid=5736169
1884 CE

Stefan-Boltzmann law

Josef Stefan empirically and Ludwig Boltzmann theoretically derive the total blackbody radiation law: energy ∝ T⁴.

Stefan-Boltzmann law
Stefan-Boltzmann law
By Netheril96 - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=15700504
1889 CE

Nernst heat theorem

Walther Nernst proposes that as temperature approaches zero, entropy changes for reactions approach zero, precursor to third law.

1893 CE

Wien's displacement law

Wilhelm Wien shows that the peak wavelength of blackbody radiation is inversely proportional to temperature.

Wien's displacement law
Wien's displacement law
By 4C - Own work based on JPG version Curva Planck TT.jpg, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=1017820
Dec 14, 1900 CE

Planck's quantum hypothesis

Max Planck introduces energy quanta to derive the correct blackbody spectrum, initiating quantum theory and linking to entropy.

Planck's quantum hypothesis
Planck's quantum hypothesis
By Darth Kule - Own work, Public domain, https://commons.wikimedia.org/w/index.php?curid=10555337
1902 CE

Gibbs publishes 'Elementary Principles in Statistical Mechanics'

J. Willard Gibbs develops the ensemble approach, founding modern statistical mechanics.

Gibbs publishes 'Elementary Principles in Statistical Mechanics'
Gibbs publishes 'Elementary Principles in Statistical Mechanics'
By J. Willard Gibbs - Library of the University of California, Public domain, https://commons.wikimedia.org/w/index.php?curid=18570388
1905 CE

Einstein explains Brownian motion

Albert Einstein uses statistical mechanics to derive the diffusion of particles, confirming atomic theory.

Einstein explains Brownian motion
Einstein explains Brownian motion
By Toshiyouri - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=69356582
1906 CE

Nernst states third law of thermodynamics

Walther Nernst formulates the third law: absolute zero is unattainable in finite steps.

1912 CE

von Laue's proof of third law

Max von Laue shows that the third law implies a zero entropy change at absolute zero.

von Laue's proof of third law
von Laue's proof of third law
By Nobel foundation - http://nobelprize.org/nobel_prizes/physics/laureates/1914/laue-bio.html, Public domain, https://commons.wikimedia.org/w/index.php?curid=6201194
1916 CE

Einstein's quantum theory of radiation

Einstein derives Planck's law using A and B coefficients, introducing stimulated emission.

Einstein's quantum theory of radiation
Einstein's quantum theory of radiation
By User:Jhausauer - Author, Public domain, https://commons.wikimedia.org/w/index.php?curid=13358404
1920 CE

Saha ionization equation

Meghnad Saha uses statistical mechanics to relate ionization state to temperature and pressure, crucial for astrophysics.

1924 CE

Bose-Einstein statistics

Satyendra Nath Bose and Albert Einstein develop quantum statistics for identical bosons.

Bose-Einstein statistics
Bose-Einstein statistics
By Ashton Bradley Aspir8 (talk) - Own work based on: Fermi-Dirac Bose-Einstein Maxwell-Boltzmann statistics.svg, CC0, https://commons.wikimedia.org/w/index.php?curid=149697440
1925 CE

Fermi-Dirac statistics

Enrico Fermi and Paul Dirac derive the statistics for fermions, essential for electron behavior in solids.

1929 CE

Onsager reciprocal relations

Lars Onsager publishes the reciprocal relations for irreversible processes, a cornerstone of non-equilibrium thermodynamics.

1931 CE

Onsager receives Nobel Prize (later)

Onsager proves the reciprocity theorem for coupled flows, expanding thermodynamic theory.

1933 CE

Giauque's paramagnetic cooling

William Giauque uses adiabatic demagnetization to reach temperatures near absolute zero.

Giauque's paramagnetic cooling
Giauque's paramagnetic cooling
By The Nobel Foundation - http://www.nobelprize.org/nobel_prizes/chemistry/laureates/1949/, PD-Sweden, https://en.wikipedia.org/w/index.php?curid=34665816
1937 CE

Statistical mechanics of liquids by Kirkwood

John G. Kirkwood develops integral equation theories for liquid structure.

1938 CE

Kapitsa discovers superfluidity

Pyotr Kapitsa observes the frictionless flow of liquid helium-4 below 2.17 K.

Kapitsa discovers superfluidity
Kapitsa discovers superfluidity
By Unknown (Mondadori Publishers) - http://www.gettyimages.co.uk/detail/news-photo/portrait-of-the-russian-physicist-pjotr-kapitza-1930s-news-photo/141551184, Public domain, https://commons.wikimedia.org/w/index.php?curid=41222835
1944 CE

Schrödinger's 'What is Life?'

Erwin Schrödinger introduces the concept of negentropy to explain how living organisms maintain order.

1948 CE

Shannon's information entropy

Claude Shannon publishes 'A Mathematical Theory of Communication', linking entropy to information content.