# Incomplete descriptions and relevant entropies

@article{Balian1999IncompleteDA, title={Incomplete descriptions and relevant entropies}, author={Roger Balian}, journal={American Journal of Physics}, year={1999}, volume={67}, pages={1078-1090} }

Statistical mechanics relies on the complete although probabilistic description of a system in terms of all its microscopic variables. Its object is to derive from this microscopic description the static and dynamic properties for some reduced set of variables. The elimination of the irrelevant variables is guided by the maximum entropy criterion, which produces the least biased probability law consistent with the available information about the relevant variables. This approach defines…

## 43 Citations

Ja n 20 05 Information in statistical physics

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- Mathematics, Physics
- 2011

Filyokov and Karpov (1967 Inzh.-Fiz. Zh. 13 624) have proposed a theory of non-equilibrium steady states in direct analogy with the theory of equilibrium states: the principle is to maximize the…

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- 2015

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Correlation entropy of an interacting quantum field and H theorem for the O ( N ) model

- Physics
- 2003

Following the paradigm of Boltzmann-BBGKY we propose a correlation entropy (of the nth order) for an interacting quantum field, obtained by `slaving' (truncation with causal factorization) of the…

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