The Gibbs paradox

@inproceedings{Guo2021TheGP,
  title={The Gibbs paradox},
  author={Quanmin Guo},
  year={2021}
}
  • Q. Guo
  • Published 6 June 2021
  • Physics
Molecular collision within an ideal gas originates from an intrinsic short-range repulsive interaction. The collision reduces the average accessible physical space for a single molecule and this has a direct consequence on the entropy of the gas. The accessibility of a molecule to a spatial coordinate (x, y, z) inside the system depends on the local molecular density. By considering mechanical equilibrium between a system and a reservoir, the probability of the system in state i with volume vi… 

Figures from this paper

References

SHOWING 1-10 OF 13 REFERENCES
Statistical Mechanics of Classical Systems with Distinguishable Particles
The properties of classical models of distinguishable particles are shown to be identical to those of a corresponding system of indistinguishable particles without the need for ad hoc corrections. An
Does the configurational entropy of polydisperse particles exist?
TLDR
It is shown how to directly determine M* from computer simulations in a range of glass-forming models with different size polydispersities, characterized by hard and soft interparticle interactions, and by additive and non-additive interactions.
Why colloidal systems can be described by statistical mechanics: some not very original comments on the Gibbs paradox
Colloidal particles are distinguishable. Moreover, their thermodynamic properties are extensive. Statistical mechanics predicts such behaviour if one accepts that the configurational integral of a
The Gibbs Paradox: Lessons from Thermodynamics
TLDR
This paper shows how one can recover the thermodynamic account of the entropy of mixing, while treating states that only differ by permutations of similar particles as distinct, and how the grandcanonical entropy relates in the appropriate way to changes of other thermodynamical quantities in reversible processes.
The Gibbs paradox and the distinguishability of identical particles
Identical classical particles are distinguishable. This distinguishability affects the number of ways W a macrostate can be realized on the microlevel, and from the relation S=k ln W leads to a
Gibbs' Paradox and the Definition of Entropy
TLDR
Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks, which predicts a violation of the second law of thermodynamics when applied to colloids.
Statistical Mechanics:
AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is much
The Scientific Papers of J Willard Gibbs
  • C. K.
  • Economics
    Nature
  • 1907
THESE two handsome volumes are a fitting memorial to one who carved out for himself a very remarkable niche in the temple of scientific fame. With the exception of his one published book on
The Gibbs Paradox
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
Entropy and Indistinguishability
It is argued that the principle of indistinguishability of identical particles is a necessary condition for consistency between experimental and statistical descriptions of a many-particle system.
...
1
2
...