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

## Definition of Information

- Information ($I$) is the amount of the data after data compression.

- The first law of information theory: the total amount of data L (the sum of entropy and information, $L=S+I$) of an isolated system remains unchanged.
- The second law of information theory: Information (I) of an isolated system decreases to a minimum at equilibrium.
- The third law of information theory: For a solid structure of perfect symmetry (e.g., a perfect crystal), the information I is zero and the (information theory) entropy (called by me as static entropy for solid state) S is at the maximum.

## Gibbs Paradox

## Acknowledgements

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**MDPI and ACS Style**

Lin, S.-K.
Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship. *Entropy* **2008**, *10*, 1-5.
https://doi.org/10.3390/entropy-e10010001

**AMA Style**

Lin S-K.
Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship. *Entropy*. 2008; 10(1):1-5.
https://doi.org/10.3390/entropy-e10010001

**Chicago/Turabian Style**

Lin, Shu-Kun.
2008. "Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship" *Entropy* 10, no. 1: 1-5.
https://doi.org/10.3390/entropy-e10010001