Entropy from statistical weight¶

Entropy of a system depends on the statistical weight of the system’s state. Statistical weight is the average number of microstates of a system that implement its macro-state.

Notation:

\(k_\text{B}\) (k_B) is boltzmann_constant.

Links:

Wikipedia.

entropy¶

entropy of the system.

Symbol:: S
Latex:: \(S\)
Dimension:: energy/temperature

statistical_weight¶

statistical_weight of the system’s state.

Symbol:: Omega
Latex:: \(\Omega\)
Dimension:: dimensionless

law¶

S = k_B * log(Omega)

Latex:: \[S = k_\text{B} \log \left( \Omega \right)\]