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In thermodynamics, entropy models are any of various verbal, visual, heuristic, or statistical teaching models used to describe the 1865 quantity 'entropy', defined in various ways by German physicist Rudolf Clausius during the years 1850 to 1875. Some of the various oft-cited entropy models are as follows:


Four element theory
Aristotle 75
Aristotle (350BC)
four elements (s) Denser elements tend to rise; lighter elements fall; earth is the heaviest element; fire the lightest.

“For any two portions of fire, small or great, will exhibit the same ratio of solid to void; but the upward movement of the greater is quicker than that of the less.”
Three principles theory
Geber 75
Geber (790)
Three principlesMetals are formed of two elements: sulphur, ‘the stone which burns’, the principle of combustibility, and mercury, the principle of metallic properties. Salt gives solidity.
Sulphur combustion model
Paracelsus 75
Paracelsus (1524)
Paracelsus combustion model
Terra pinguis model
Johann Becher 75
Johann Becher (1699)
Becher combustion model
Phlogiston model
Georg Stahl 75
Georg Stahl (1703)
Stahl combustion theory
Caloric model
Lavoisier 75
Antoine Lavoisier (1789)
Caloric theory model
Re-establishment of equilibrium in the caloric
Sadi Carnot 75
Sadi Carnot (1824)
re-estabishment of equilibrium in the caloricA Lavoisier-base view that heat consisted of indestructible caloric particles and that a body returned to its original position (state) at the end of one heat cycle.

Transformation content
Clausius (75px)
Rudolf Clausius (1850)
Joule experiment (1843)

(law of dissipation)
William Thomson 75
William Thomson (1852)
Clausius (75px)
Rudolf Clausius (1862)
Entropy (melting ice)
Clausius (75px)
Rudolf Clausius (1862)
ice melting[1]
Tumbler of water model
Boltzmann 75 young
Ludwig Boltzmann (1870)
Pouring water into sea 300pxA comment to John Strutt that the second law has the same truth as the assertion that you cannot recover a tumbler of water thrown into the sea. [2]
Velocity distribution model
Boltzmann 75 young
Ludwig Boltzmann (1872)
Maxwell Boltzmann distribution
Entropy of mixing
Gibbs (75px)
Willard Gibbs (1876)
Entropy of mixingNote: this could have been Gibbs' 1902 work; see: Gilbert Lewis' 1925 The Anatomy of Science (pg. 148).
Helmholtz 75
Hermann Helmholtz (1882)
solid, liquid, gas
Ghostly quantity
John Perry 75
John Perry (1899)
Entropy ghost
S = k ln W
Planck 75
Max Planck (1901)
Gibbs (75px)
Willard Gibbs (1903)

Image needed
Note: ditto to previous note.

Elementary disorder
Planck 75
Max Planck (1906)
Typing monkeys
Emile Borel 75
Emile Borel (1913)
Typing monkeys 250

Entropies of bodies
Lewis 75
Gilbert Lewis (1923)
Entropy of silver
Entropy (shuffling cards)
Lewis 75
Gilbert Lewis (1925)
Arthur Eddington (1928)
Ordered - Shuffled CardsSeems to have been first described in Lewis' The Anatomy of Science; then expanded be Eddington in his The Nature of the Physical World.

Arrow of time
Eddington 75
Arthur Eddington (1928)
arrows of time

Entropy (information)
Szilard 75
Leo Szilard (1929)
Szilard's demon

Information theory
Shannon 75
Claude Shannon (1948)
Hartley (voltage transmissions)Note: this has nothing to do with thermodynamics; contrary to popular opinion; but rather is a mis-informed urban myth existing in ignorant science.
Unscrambled eggs
(Broken eggs)
icon 75 (test)
Walter Albersheim? (1955)
Entropy (eggs)

Entropy (child’s playroom)
Landsberg 75
Peter Landsberg (1961)
Child's  playroom

Energy dispersal
Peter Atkins 75
Peter Atkins (1984)

(spreading out of energy)
Frank Lambert 75
Frank Lambert (1999)
Energy dispersial  (diagram) Note: the post-2000s view of entropy as "energy spreading out" is a misinformed view promoted by American organic chemist Frank Lambert: a person who (a) flunked his thermodynamics classes in college, (b) went on to attempt to teach a "baby thermodynamics" class to non-science majors at a community college, (c) states that he never understood entropy all throughout his years teaching baby thermodynamics, (d) states that he only began to understand entropy, in retirement, though a reading of one of William Thomson's articles, and (e) in the 2000s mass-mailed chemistry textbook authors imploring them to change the definition of entropy from "disorder" to "dispersion" based on his exemplary experience with the subject. The problems with all of this are legion and multitude, to say the least, but one that has seen consumption based on the pied piper effect of entropy.

See also
Entropy formulations
Entropy (misinterpretations)

1. Sladek, John T. (1974). The New Apocrypha: a Guide to Strange Science and Occult Beliefs (pg. 258). Stein and Day.
2. Lindberg, David C., Porter, Roy, Jo Nye, Mary, and Numbers, Ronald. (2003). The Cambridge History of Science: the Modern Physical and Mathematical Sciences (pgs. 494-95). Cambridge University Press.
3. Disgregation – Wikipedia.

EoHT symbol

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Keyword tags: entropy models
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jtuhtan Ising Model attributed to Planck's Elementary Disorder? 5 Jul 9 2012, 11:39 AM EDT by jtuhtan
Thread started: Jul 8 2012, 12:22 AM EDT  Watch
The image attributed to Planck's "Elementary Disorder" seems to be a sort of 2D extrapolation of Ernst Ising's 1925 one-dimensional Ising model. This model was developed to investigate phase transitions, not entropy. Ball (pg. 111) has a good overview of Ising's contribution to statistical physics, as well as a similar graphical portrayal of his concept in 2D on pg. 122, Figure 4.2 (Critical Mass).
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