leads to a paradox known as the Gibbs paradox, after Josiah Willard Gibbs, who proposed this thought experiment in 1874‒1875. The paradox allows for the...

cell is found do we ask which kind of molecule is there. See also: Gibbs paradox, in which it would seem that "mixing" two samples of the same gas would...

phase space, chemical potential, Gibbs entropy, Gibbs paradox Mathematics: Vector Analysis, convex analysis, Gibbs phenomenon Electromagnetism: Maxwell's...

H-theorem Gibbs' inequality Gibbs isotherm Gibbs lemma Gibbs measure Gibbs random field Gibbs phase rule Gibbs paradox Gibbs phenomenon Gibbs sampling Gibbs state...

Ben-Naim, Arieh (21 September 2007). "On the So-Called Gibbs Paradox, and on the Real Paradox" (PDF). Entropy. 9 (3): 132–136. Bibcode:2007Entrp...9....

This list includes well known paradoxes, grouped thematically. The grouping is approximate, as paradoxes may fit into more than one category. This list...

sampling Gibbs phase rule Gibbs free energy Gibbs entropy Gibbs paradox Gibbs–Helmholtz equation Gibbs algorithm Gibbs state Gibbs-Marangoni effect Gibbs phenomenon...

there exists a set of physical paradoxes that directly rely on one or more assumptions that are incorrect. The Gibbs paradox of statistical mechanics yields...

History, a Theory, a Flood. New York, NY: Pantheon. Lin, Shu-Kun (2008). "Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship"...

but yields non-physical results for the entropy, as embodied in the Gibbs paradox. At the same time, there are no real particles that have the characteristics...

{5}{2}},} For a derivation of the Sackur–Tetrode equation, see the Gibbs paradox. For the constraints placed upon the entropy of an ideal gas by thermodynamics...

space description is not the same. This has implications in both the Gibbs paradox and correct Boltzmann counting. With regard to Boltzmann counting, it...

transfer Entropy in thermodynamics and information theory Evaporation Gibbs paradox Hall effect Heisenberg's uncertainty principle Joule–Thomson effect...

existence of a thermodynamic limit for such systems. This is known as the Gibbs paradox. It may not be obvious why the partition function, as we have defined...

The paradox of tolerance is a philosophical concept suggesting that if a society extends tolerance to those who are intolerant, it risks enabling the...

the numbers of each type of indistinguishable particle to avoid the Gibbs paradox. Quantum physics provides the underlying reason for why these corrections...

When combined with thermodynamics, classical mechanics leads to the Gibbs paradox of classical statistical mechanics, in which entropy is not a well-defined...

using Gibbs free energy of mixing Δ G m i x = Δ H m i x − T Δ S m i x {\displaystyle \Delta G_{mix}=\Delta H_{mix}-T\Delta S_{mix}} However, Gibbs free...

included to account for the indistinguishability of particles (see Gibbs paradox). In the large N {\displaystyle N} limit, the Boltzmann entropy S =...

combined with classical thermodynamics, classical mechanics leads to the Gibbs paradox in which entropy is not a well-defined quantity. As experiments reached...

strongly implies the violation of the second law of thermodynamics. See Gibbs paradox. Uncertainty principles relate quantum particles – electrons for example...

non-extensive entropy in the canonical ensemble, known today as the Gibbs paradox. In the grand canonical ensemble a further logical inconsistency occurs:...

indistinguishability of particles has been proposed as a solution to Gibbs' mixing paradox. There are two methods for distinguishing between particles. The...

volume of states of fixed radius r {\displaystyle r} (as described in Gibbs paradox).[clarification needed] A solution of this form can be plugged into...

In thermodynamics, the Gibbs free energy (or Gibbs energy as the recommended name; symbol G {\displaystyle G} ) is a thermodynamic potential that can...

measure—dimensionality—of subspace of Hilbert space), and applied this to the Gibbs paradox. Saunders has also developed a general framework for the treatment of...

Parrondo's paradox, a paradox in game theory, describes how a combination of losing strategies can become a winning strategy. It is named after its creator...

boundary term Gibbs' phase rule Gibbs algorithm Gibbs entropy Gibbs free energy Gibbs measure Gibbs paradox Gibbs state Gibbs–Donnan effect Gibbs–Helmholtz...

Willard Gibbs described another way in which the entropy of a microscopic system would tend to increase over time. Later writers have called this "Gibbs' H-theorem"...

computer simulation demonstrating Savant's predicted result. The problem is a paradox of the veridical type, because the solution is so counterintuitive it can...