Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship

@article{Lin2008GibbsPA,
  title={Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship},
  author={Shu-Kun Lin},
  journal={Entropy},
  year={2008},
  volume={10},
  pages={1-5}
}
  • Shu-Kun Lin
  • Published 2008
  • Computer Science, Physics
  • Entropy
We are publishing volume 10 of Entropy. When I was a chemistry student I was facinated by thermodynamic problems, particularly the Gibbs paradox. It has now been more than 10 years since I actively published on this topic [1-4]. During this decade, the globalized Information Society has been developing very quickly based on the Internet and the term information is widely used, but what is information? What is its relationship with entropy and other concepts like symmetry, distinguishability and… Expand
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References

SHOWING 1-10 OF 20 REFERENCES
Correlation of Entropy with Similarity and Symmetry
  • Shu-Kun Lin
  • Mathematics, Computer Science
  • J. Chem. Inf. Comput. Sci.
  • 1996
TLDR
The maximum entropy of any system corresponds to indistinguishability (total loss of information), to perfect symmetry or highest symmetry, and to the highest simplicity. Expand
Gibbs paradox of entropy of mixing: experimental facts, its rejection and the theoretical consequences
Gibbs paradox statement of entropy of mixing has been regarded as the theoretical foundation of statistical mechanics, quantum theory and biophysics. A large number of relevant chemical and physicalExpand
The Nature of the Chemical Process. 1. Symmetry Evolution – Revised Information Theory, Similarity Principle and Ugly Symmetry
Symmetry is a measure of indistinguishability. Similarity is a continuous measure of imperfect symmetry. Lewis' remark that “gain of entropy means loss of information” defines the relationship ofExpand
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 toExpand
Continuous symmetry numbers and entropy.
TLDR
It is shown that continuous symmetry numbers provide entropy values, which better agree with experimental observations, and that they are capable of identifying correlations between symmetry and physical/chemical measurables. Expand
UNDERSTANDING STRUCTURAL STABILITY AND PROCESS SPONTANEITY BASED ON THE REJECTION OF THE GIBBS PARADOX OF ENTROPY OF MIXING
Abstract Logarithmic relations of entropy and symmetry and a linear relation of entropy and similarity were set up and have been used to predict the miscibility of fluids, the stability of solidExpand
Explanation of the Gibbs paradox within the framework of quantum thermodynamics.
TLDR
For almost identical gases the mixing ergotropy continuously goes to zero, thus resolving the paradox, and difficulties which prevent resolutions of the paradox in its entropic formulation do not arise. Expand
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
TLDR
Molecular diversity of a combinatorial compound library is determined by the available number of component variants and their similarity and these concepts and formulae can also be applied to calculate biodiversity. Expand
Chirality and Symmetry Measures: A Transdisciplinary Review
TLDR
Relations between chirality, symmetry, and other concepts such as similarity, disorder and entropy, are discussed. Expand
Information and Life: Towards a Biological Understanding of Informational Phenomena
This work explores a new understanding of informational phenomena based on the molecular organization of life. One of the central ideas is that the interrelationship among the recently framed fieldsExpand
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