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- ...to [[../BlackHoles/|black holes]].\, The [[../PreciseIdea/|concept]] of ''entropy'' was introduced by the German R. J. E. Clausius in 1854. The classical definition of entropy relates the differential change of entropy to the differential change in [[../Heat/|heat]] at a given [[../BoltzmannCo ...2 KB (223 words) - 03:30, 7 February 2024
- ''Statistical Entropy'' is a definition of [[../ThermodynamicLaws/|entropy]] based on statistical [[../Thermodynamics/|Thermodynamics]]. The definitio [[Category:Entropy]] ...1 KB (199 words) - 03:30, 7 February 2024
- In terms of the specific entropy, the Clausius-Duhem inequality is written as ...7 KB (1,026 words) - 22:30, 25 July 2017
- ==Simple information entropy== !# coins <br><math>S</math><br>Entropy ...26 KB (4,088 words) - 10:07, 14 April 2024
- ==Quasi-proof of the existence of entropy as a state variable== ...esult to all substances by arguing that all paths yield the same change in entropy. A subdivision of a closed path into an arbitrarily large number of small ...24 KB (4,006 words) - 03:30, 7 February 2024
- ...<math>\alpha\in \mathbb{C}</math>. The [[w:von Neumann entropy|von Neumann entropy]] is ...matrix of a subsystem. By extension, the term is also applied to the Rényi entropy of the subsystem. ...9 KB (1,425 words) - 03:30, 7 February 2024
Page text matches
- ...to [[../BlackHoles/|black holes]].\, The [[../PreciseIdea/|concept]] of ''entropy'' was introduced by the German R. J. E. Clausius in 1854. The classical definition of entropy relates the differential change of entropy to the differential change in [[../Heat/|heat]] at a given [[../BoltzmannCo ...2 KB (223 words) - 03:30, 7 February 2024
- ''Statistical Entropy'' is a definition of [[../ThermodynamicLaws/|entropy]] based on statistical [[../Thermodynamics/|Thermodynamics]]. The definitio [[Category:Entropy]] ...1 KB (199 words) - 03:30, 7 February 2024
- |Entropy === Entropy === ...3 KB (529 words) - 01:32, 17 January 2024
- ...an expression of the universal law of increasing entropy, stating that the entropy of an isolated system which is not in equilibrium will tend to increase ove ...to even out in a physical system that is isolated from the outside world. Entropy is a measure of how far along this evening-out process has progressed. ...6 KB (950 words) - 18:01, 6 September 2015
- [[Wikipedia:Bekenstein bound|Bekenstein]] discovered a bound to the amount of entropy <math>S</math> that an energy containing sphere can contain. ...r. The spherical black hole represents the most efficient way of packaging entropy. ...4 KB (658 words) - 20:58, 5 July 2017
- ...<math>\alpha\in \mathbb{C}</math>. The [[w:von Neumann entropy|von Neumann entropy]] is ...matrix of a subsystem. By extension, the term is also applied to the Rényi entropy of the subsystem. ...9 KB (1,425 words) - 03:30, 7 February 2024
- ...ed with the ''change'' in enthalpy (ΔH), it works just as well to think of entropy as a synonym of the energy contained in the molecules. To use an example, t ==Entropy== ...6 KB (1,009 words) - 11:53, 21 December 2022
- ==== Von Neumann entropy ==== ...tracted from measurements of a quantum system, is given by its von Neumann entropy, which is defined as ...8 KB (1,343 words) - 03:58, 22 September 2020
- ...ve fair coins to illustrate the additive property of Shannon's information entropy|175px]] [[File:Entropy wheel of fortune.svg|thumb|Shannon's entropy for unfair coin|175px]] ...5 KB (668 words) - 17:49, 8 February 2025
- == Rate of internal energy/entropy for thermoelastic materials == ...symbol{E}</math> is the Green strain and <math>\eta</math> is the specific entropy. Show that ...11 KB (1,593 words) - 22:30, 25 July 2017
- Second law of Thermodynamics: defines [[../ThermodynamicLaws/|entropy]] <math>S</math> ...BoltzmannConstant/|Third Law of Thermodynamics]]: gives numerical value to entropy <math>S</math> ...3 KB (415 words) - 06:16, 11 October 2023
- ...lta Q=TdS</math> where <math>T</math> is temperature and <math>S</math> is entropy. For a reversible process, the first law may now be restated: ...le is added, where the energy of that particle is such that the volume and entropy of the system remains unchanged. <math>\mu_i</math> is known as the chemica ...10 KB (1,698 words) - 04:46, 8 December 2019
- During any thermodynamic process the entropy of a closed system always increases if the closed system is not at equilibr The entropy of any crystalline system tends to zero in the limit of absolute zero tempe ...3 KB (366 words) - 11:03, 8 November 2023
- #Entropy inequality ===Entropy inequality=== ...13 KB (2,163 words) - 01:15, 26 July 2017
- == Entropy and Information == ...rmining the amount of information we have, we define the uncertainty or '''entropy of <math>P</math>''' as ...9 KB (1,509 words) - 06:13, 8 January 2022
- ...l restrictions on the form of the constitutive relations are imposed by an entropy inequality that expresses the second law of thermodynamics in mathematical ...e assume that there is an entropy flux, an entropy source, and an internal entropy density per unit mass (<math>\eta</math>) in the region of interest. ...13 KB (1,974 words) - 15:59, 18 August 2020
- |Entropy ...axell-Boltzmann distribution for an ideal gas, and the implications of the Entropy quantity. ...9 KB (1,378 words) - 16:59, 6 March 2023
- For crystalline systems, their entropy--which is a measure of the degree of disorder present in any thermodynamic ...2 KB (195 words) - 22:29, 11 September 2016
- ...ange of energy, there will always be energy lost. This is referred to as ''entropy''. This basically means that in any system, energy will always be lost in s where T is temperature, H is enthalphy, S is entropy, and p is pressure. ...5 KB (716 words) - 05:33, 2 January 2021
- ...../ThermodynamicLaws/|entropy]] (or Lyapounov function) with a microscopic entropy (quantum) super--operator <math>M</math>. Here the time--parametrized distr ...ended to include a new dynamical variable representing the non-equilibrium entropy. In this way, one may formulate the second law of thermodynamics in terms o ...8 KB (1,065 words) - 17:01, 17 January 2023