Results 141 to 150 of about 37,263 (179)

“Gibbs Paradox” Paradox

American Journal of Physics, 1973
The traditional resolution of Gibbs paradox seems to give rise to a further paradox. A resolution of this paradox is proposed.
Barry M. Casper, Susan Freier
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On the Occurrence of Gibbs Paradox

Journal of Computational and Theoretical Transport, 2019
AbstractThis work focuses on the conceptual problem of the intermixing of two samples of the same ideal gas under identical conditions (p,V,T) giving rise to the riddle known as Gibbs paradox.
Davide Giusti, Vincenzo G. Molinari
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The Gibbs paradox and unidirectional fluxes

European Biophysics Journal, 1989
The Gibbs paradox is introduced by means of a particular example: the interdiffusion of two molecular species through a membrane. In the limit when passing from the interdiffusion of two distinct species to that of identical species, the equation for dissipation (or, equivalently, entropy production) fails catastrophically.
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Gibbs' paradox and non-uniform convergence

Synthese, 1989
It is only when mixing two or more pure substances along a reversible path that the entropy of the mixing can be made physically manifest. It is not, in this case, a mere mathematical artifact. This mixing requires a process of successive stages.
K. G. Denbigh, M. L. G. Redhead
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Gibbs Paradox in Particle Physics

Physical Review D, 1971
An attempt to understand the structure of particles by means of statistical mechanics is presented. This is accomplished by introducing the Gibbs paradox into particle physics. An interacting-particle model results with level density $\ensuremath{\rho}(m)$ in the range determined by ${[\ensuremath{\rho}(m)]}^{\ensuremath{-}1}=\ensuremath{\varphi}({e}^{\
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The Gibbs paradox and quantum gases

American Journal of Physics, 1978
The sudden drop in the isothermal entropy of mixing when two ideal gases are made identical is analyzed for ideal quantum gases. For fermions of large reduced chemical potentials μ/kT this drop can be made arbitrarily small and this leads to a new resolution of the paradox.
P. T. Landsberg, D. Tranah
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Gibbs Paradox as a Derivative of Composition Entropy

Refractories and Industrial Ceramics, 2022
In science, sometimes so-called «problem problems» arise, over the solution of them struggle for a long time several generations of scientists. Possessing deep knowledge and developed intuition, they sometimes predict the result of a problem, but cannot find a solution to it.
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The Gibbs Paradox

1992
We point out that an early work of J. Willard Gibbs (1875) contains a correct analysis of the “Gibbs Paradox” about entropy of mixing, free of any elements of mystery and directly connected to experimental facts. However, it appears that this has been lost for 100 years, due to some obscurities in Gibbs’ style of writing and his failure to include this
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Gibbs' Paradox, Indistinguishability and Local Pressure

2023
Gibbs' paradox is often said to be solved by considering particles in a gas to be indistinguishable, i.e. by using N! in calculations. Furthermore, this indistinguishability is said to ultimately follow from quantum mechanics. In particular, Gibbs' paradox is linked with the example of a container with two equal volume and temperature chambers with N ...
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