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Gibbs entropy

From Wikipedia, the free encyclopedia

In thermodynamics, specifically in statistical mechanics, the Gibbs entropy is the usual statistical mechanical entropy of a thermodynamic system,

S = -k_B \sum_i p_i \log p_i \,

where the summation is taken over the possible states of the system as a whole (typically a 6N-dimensional space, if the system contains N separate particles).

The importance of this formula is discussed at much greater length in the main article Entropy (thermodynamics).

Often, according to context, S is just called the statistical entropy, or the thermodynamic entropy, or simply the entropy. However the term Gibbs entropy can be useful to distinguish it from the earlier Boltzmann entropy, which neglected internal statistical correlations in the overall particle distribution.

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