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Thermodynamics > Thermodynamic Functions v



Gibbs' Paradox
    

In a simple derivation based of the ideal gas law, the entropy S is not an extensive variable as it must be. This is known as the Gibbs' paradox. The difficulty is resolved by letting the particles be indistinguishable.




References

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Erickson, G. W. and Fossa, J. A. Dictionary of Paradox. Lanham, MD: University Press of America, p. 73, 1998.

Gibbs, J. W. Trans. Conn. Acad. 3, 108 and 227-229, 1875-1876.

Gibbs, J. W. The Collected Works of J. W. Gibbs, Vol. 1. New Haven, CT: Yale University Press, 1948.

Jaynes, E. T. "The Gibbs Paradox." In Maximum Entropy and Bayesian Methods (Ed. C. R. Smith, G. J. Erickson, and P. O. Neudorfer). Dordrecht, Netherlands: Kluwer, pp. 1-22, 1992.

Lesk, A. M. J. Phys. A: Math. Gen. 13, L111-L114, 1980.

Lin, S.-K. "Gibbs Paradox of Entropy of Mixing: Experimental Facts, Its Rejection, and the Theoretical Consequences." J. Theoret. Chem. 1, 135-150, 1996

Lin, S.-K. "Molecular Diversity Assessment: Logarithmic Relations of Information and Species Diversity and Logarithmic Relations of Entropy and Indistinguishability After Rejection of Gibbs Paradox of Entropy of Mixing." Molecules 1, 57-67, 1996.

Lin, S.-K. "Understanding Structural Stability and Process Spontaneity Based on the Rejection of the Gibbs Paradox of Entropy of Mixing." J. Molec. Structure (Theorochem.) 398, 145-153, 1997.

Neumann, J. von. Mathematical Foundations of Quantum Mechanics. Princeton, NJ: Princeton University Press, 1955.

Richardson, I. W. Eur. Biophys. J. 17, 281-286, 1989.

van Kampen, N. G. "The Gibbs Paradox." In Essays in Theoretical Physics: In Honor of Dirk Ter Haar (Ed. W. E. Parry). Oxford, England: Pergamon Press, pp. 303-312, 1984.







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