Entropy - Revision history

Carl McBride: Added origin of the word entropy

2018-01-17T13:26:22Z

Added origin of the word entropy

← Older revision		Revision as of 15:26, 17 January 2018
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	:'' "Energy has to do with possibilities. Entropy has to do with the probabilities of those possibilities happening. It takes energy and performs a further epistemological step." '' '''Constantino Tsallis''' <ref>http://www.mlahanas.de/Greeks/new/Tsallis.htm</ref>		:'' "Energy has to do with possibilities. Entropy has to do with the probabilities of those possibilities happening. It takes energy and performs a further epistemological step." '' '''Constantino Tsallis''' <ref>http://www.mlahanas.de/Greeks/new/Tsallis.htm</ref>
	'''Entropy''' was first described by [[Rudolf Julius Emanuel Clausius]] in 1865 <ref>[http://dx.doi.org/10.1002/andp.18652010702 R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie '''125''' pp. 353-400 (1865)]</ref>. The [[statistical mechanics \| statistical mechanical]] desciption is due to [[Ludwig Eduard Boltzmann]] (Ref. ?).		'''Entropy''' was first described by [[Rudolf Julius Emanuel Clausius]] in 1865 <ref>[http://dx.doi.org/10.1002/andp.18652010702 R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie '''125''' pp. 353-400 (1865)]</ref>. The [[statistical mechanics \| statistical mechanical]] desciption is due to [[Ludwig Eduard Boltzmann]] (Ref. ?). The word entropy originated from the Greek word meaning a turning or transformation "τροπή" <ref>[https://books.google.es/books?id=8LIEAAAAYAAJ&pg=PA357 Rudolf Clausius "The Mechanical Theory of Heat: With Its Applications to the Steam-engine and to the Physical Properties of Bodies", London (1867) page 357]</ref>.
	==Classical thermodynamics==		==Classical thermodynamics==
	In [[classical thermodynamics]] one has the entropy, <math>S</math>,		In [[classical thermodynamics]] one has the entropy, <math>S</math>,

Carl McBride: /* References */ Added a recent publication

2017-06-19T16:00:25Z

References: Added a recent publication

← Older revision		Revision as of 18:00, 19 June 2017
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	*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]		*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]
	*[http://dx.doi.org/10.1080/00268976.2016.1238523 Simin Yazdi Nezhad and Ulrich K. Deiters "Estimation of the entropy of fluids with Monte Carlo computer simulation", Molecular Physics '''115''' pp. 1074-1085 (2017)]		*[http://dx.doi.org/10.1080/00268976.2016.1238523 Simin Yazdi Nezhad and Ulrich K. Deiters "Estimation of the entropy of fluids with Monte Carlo computer simulation", Molecular Physics '''115''' pp. 1074-1085 (2017)]
			*[http://dx.doi.org/10.1063/1.4984965 Gérôme Faure, Rafael Delgado-Buscalioni, and Pep Español "The entropy of a complex molecule", Journal of Chemical Physics '''146''' 224106 (2017)]

	==External links==		==External links==

Carl McBride: /* References */ Added a recent publication

2017-05-19T13:57:27Z

References: Added a recent publication

← Older revision		Revision as of 15:57, 19 May 2017
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	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]
	*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]		*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]
			*[http://dx.doi.org/10.1080/00268976.2016.1238523 Simin Yazdi Nezhad and Ulrich K. Deiters "Estimation of the entropy of fluids with Monte Carlo computer simulation", Molecular Physics '''115''' pp. 1074-1085 (2017)]

	==External links==		==External links==

Carl McBride: Added a paper and a book

2017-05-08T10:25:09Z

Added a paper and a book

← Older revision		Revision as of 12:25, 8 May 2017
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	*[http://dx.doi.org/10.1063/1.881363 Joel L. Lebowitz "Boltzmann's Entropy and Time's Arrow", Physics Today '''46''' pp. 32-38 (1993)]		*[http://dx.doi.org/10.1063/1.881363 Joel L. Lebowitz "Boltzmann's Entropy and Time's Arrow", Physics Today '''46''' pp. 32-38 (1993)]
	*[http://dx.doi.org/10.1023/A:1023715732166 Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics '''33''' pp. 467-490 (2003)]		*[http://dx.doi.org/10.1023/A:1023715732166 Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics '''33''' pp. 467-490 (2003)]
			*[http://dx.doi.org/10.1103/PhysRevE.79.061103 Noah Linden, Sandu Popescu, Anthony J. Short, and Andreas Winter "Quantum mechanical evolution towards thermal equilibrium", Physical Review E '''79''' 061103 (2009)]
	Books:		Books:
	* Steven F. Savitt (Ed.) "Time's Arrows Today: Recent Physical and Philosophical Work on the Direction of Time", Cambridge University Press (1997) ISBN 0521599458		* Steven F. Savitt (Ed.) "Time's Arrows Today: Recent Physical and Philosophical Work on the Direction of Time", Cambridge University Press (1997) ISBN 0521599458
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	* Arieh Ben-Naim "Entropy and the Second Law Interpretation and Misss-Interpretations", World Scientific Publishing (2012) ISBN 978-981-4407-55-7		* Arieh Ben-Naim "Entropy and the Second Law Interpretation and Misss-Interpretations", World Scientific Publishing (2012) ISBN 978-981-4407-55-7
	* Arieh Ben-Naim "Information, Entropy, Life and the Universe: What We Know and What We Do Not Know" World Scientific Publishing (2015) ISBN 978-981-4651-66-0		* Arieh Ben-Naim "Information, Entropy, Life and the Universe: What We Know and What We Do Not Know" World Scientific Publishing (2015) ISBN 978-981-4651-66-0
			* Arieh Ben-Naim "Entropy The Truth, the Whole Truth, and Nothing But the Truth", World Scientific Publishing (2016) ISBN 978-981-3147-67-6
	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]
	*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]		*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]

Carl McBride: /* References */ Added a recent publication

2017-01-10T13:15:58Z

References: Added a recent publication

← Older revision		Revision as of 15:15, 10 January 2017
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	* Arieh Ben-Naim "Information, Entropy, Life and the Universe: What We Know and What We Do Not Know" World Scientific Publishing (2015) ISBN 978-981-4651-66-0		* Arieh Ben-Naim "Information, Entropy, Life and the Universe: What We Know and What We Do Not Know" World Scientific Publishing (2015) ISBN 978-981-4651-66-0
	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]
			*[http://doi.org/10.1063/1.4972525 Misaki Ozawa and Ludovic Berthier "Does the configurational entropy of polydisperse particles exist?", Journal of Chemical Physics '''146''' 014502 (2017)]

	==External links==		==External links==

Carl McBride: /* References */ Added a book by Arieh Ben-Naim

2015-11-25T17:18:40Z

References: Added a book by Arieh Ben-Naim

← Older revision		Revision as of 19:18, 25 November 2015
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	* Arieh Ben-Naim "Discover Entropy and the Second Law of Thermodynamics: A Playful Way of Discovering a Law of Nature" World Scientific Publishing (2010) ISBN: 978-981-4299-75-6		* Arieh Ben-Naim "Discover Entropy and the Second Law of Thermodynamics: A Playful Way of Discovering a Law of Nature" World Scientific Publishing (2010) ISBN: 978-981-4299-75-6
	* Arieh Ben-Naim "Entropy and the Second Law Interpretation and Misss-Interpretations", World Scientific Publishing (2012) ISBN 978-981-4407-55-7		* Arieh Ben-Naim "Entropy and the Second Law Interpretation and Misss-Interpretations", World Scientific Publishing (2012) ISBN 978-981-4407-55-7
			* Arieh Ben-Naim "Information, Entropy, Life and the Universe: What We Know and What We Do Not Know" World Scientific Publishing (2015) ISBN 978-981-4651-66-0
	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]

Carl McBride: /* References */ Added a book by Arieh Ben-Naim

2015-11-25T17:03:59Z

References: Added a book by Arieh Ben-Naim

← Older revision		Revision as of 19:03, 25 November 2015
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	* Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9		* Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9
	* Arieh Ben-Naim "Discover Entropy and the Second Law of Thermodynamics: A Playful Way of Discovering a Law of Nature" World Scientific Publishing (2010) ISBN: 978-981-4299-75-6		* Arieh Ben-Naim "Discover Entropy and the Second Law of Thermodynamics: A Playful Way of Discovering a Law of Nature" World Scientific Publishing (2010) ISBN: 978-981-4299-75-6
			* Arieh Ben-Naim "Entropy and the Second Law Interpretation and Misss-Interpretations", World Scientific Publishing (2012) ISBN 978-981-4407-55-7
	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]

Carl McBride: /* References */ Added a book by Arieh Ben-Naim

2015-11-25T16:56:30Z

References: Added a book by Arieh Ben-Naim

← Older revision		Revision as of 18:56, 25 November 2015
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	*Ya. G. Sinai, "On the Concept of Entropy of a Dynamical System," Doklady Akademii Nauk SSSR '''124''' pp. 768-771 (1959)		*Ya. G. Sinai, "On the Concept of Entropy of a Dynamical System," Doklady Akademii Nauk SSSR '''124''' pp. 768-771 (1959)
	*[http://dx.doi.org/10.1063/1.1670348 William G. Hoover "Entropy for Small Classical Crystals", Journal of Chemical Physics '''49''' pp. 1981-1982 (1968)]		*[http://dx.doi.org/10.1063/1.1670348 William G. Hoover "Entropy for Small Classical Crystals", Journal of Chemical Physics '''49''' pp. 1981-1982 (1968)]
	*Arieh Ben-Naim "Entropy Demystified: The Second Law Reduced to Plain Common Sense", World Scientific (2008) ISBN 978-9812832252		* Arieh Ben-Naim "Entropy Demystified: The Second Law Reduced to Plain Common Sense", World Scientific (2008) ISBN 978-9812832252
	*Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9		* Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9
			* Arieh Ben-Naim "Discover Entropy and the Second Law of Thermodynamics: A Playful Way of Discovering a Law of Nature" World Scientific Publishing (2010) ISBN: 978-981-4299-75-6
	*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]		*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]

	==External links==		==External links==
	*[http://www.mdpi.com/journal/entropy entropy] an international and interdisciplinary Open Access journal of entropy and information studies.		*[http://www.mdpi.com/journal/entropy entropy] an international and interdisciplinary Open Access journal of entropy and information studies.

Carl McBride: Added a recent publication

2014-06-09T12:09:55Z

Added a recent publication

← Older revision		Revision as of 14:09, 9 June 2014
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	:'' "Energy has to do with possibilities. Entropy has to do with the probabilities of those possibilities happening. It takes energy and performs a further epistemological step." ''		:'' "Energy has to do with possibilities. Entropy has to do with the probabilities of those possibilities happening. It takes energy and performs a further epistemological step." '' '''Constantino Tsallis''' <ref>http://www.mlahanas.de/Greeks/new/Tsallis.htm</ref>
	~~:::::~~ '''[[Constantino Tsallis]]''' <ref>http://www.mlahanas.de/Greeks/new/Tsallis.htm</ref>
	'''Entropy''' was first described by [[Rudolf Julius Emanuel Clausius]] in 1865 <ref>[http://dx.doi.org/10.1002/andp.18652010702 R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie '''125''' pp. 353-400 (1865)]</ref>. The [[statistical mechanics \| statistical mechanical]] desciption is due to [[Ludwig Eduard Boltzmann]] (Ref. ?).		'''Entropy''' was first described by [[Rudolf Julius Emanuel Clausius]] in 1865 <ref>[http://dx.doi.org/10.1002/andp.18652010702 R. Clausius "Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie", Annalen der Physik und Chemie '''125''' pp. 353-400 (1865)]</ref>. The [[statistical mechanics \| statistical mechanical]] desciption is due to [[Ludwig Eduard Boltzmann]] (Ref. ?).
	==Classical thermodynamics==		==Classical thermodynamics==
Line 57:		Line 56:
	*Arieh Ben-Naim "Entropy Demystified: The Second Law Reduced to Plain Common Sense", World Scientific (2008) ISBN 978-9812832252		*Arieh Ben-Naim "Entropy Demystified: The Second Law Reduced to Plain Common Sense", World Scientific (2008) ISBN 978-9812832252
	*Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9		*Arieh Ben-Naim "Farewell to Entropy: Statistical Thermodynamics Based on Information", World Scientific (2008) ISBN 978-981-270-707-9
			*[http://dx.doi.org/10.1063/1.4879553 Jose M. G. Vilar and J. Miguel Rubi "System-size scaling of Boltzmann and alternate Gibbs entropies", Journal of Chemical Physics '''140''' 201101 (2014)]
	==External links==		==External links==
	*[http://www.mdpi.com/journal/entropy entropy] an international and interdisciplinary Open Access journal of entropy and information studies.		*[http://www.mdpi.com/journal/entropy entropy] an international and interdisciplinary Open Access journal of entropy and information studies.

Carl McBride: /* Tsallis entropy */ Added an internal link

2014-05-30T10:21:23Z

Tsallis entropy: Added an internal link

← Older revision		Revision as of 12:21, 30 May 2014
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	:<math>S_q:= k_B \frac{1-\sum_{i=1}^W p_i^q}{q-1}</math>		:<math>S_q:= k_B \frac{1-\sum_{i=1}^W p_i^q}{q-1}</math>

	where <math>q</math> is the ''Tsallis index''. As <math>q \rightarrow 1 </math> one recovers the standard expression for entropy.		where <math>q</math> is the ''Tsallis index'' <ref>[http://dx.doi.org/10.1103/PhysRevE.78.021102 Filippo Caruso and Constantino Tsallis "Nonadditive entropy reconciles the area law in quantum systems with classical thermodynamics", Physical Review E '''78''' 021102 (2008)]</ref>.
			As <math>q \rightarrow 1 </math> one recovers the standard expression for entropy. This expression for the entropy is the cornerstone of [[non-extensive thermodynamics]].

	==Arrow of time==		==Arrow of time==