Boltzmann entropy formula

Gives the entropy of a system as the Boltzmann constant times the natural logarithm of the number of microscopic configurations (microstates) compatible with its macroscopic state. It is used in statistical mechanics to connect microscopic counting with thermodynamic entropy.

S = k_B \ln W

What the symbols mean

entropy of the system (\mathrm{J/K})
Boltzmann constant (\mathrm{J/K})
number of microstates compatible with the macrostate (dimensionless)

About this formula

  • FieldPhysics
  • TopicStatistical mechanics
  • LevelUniversity
  • Also calledentropy formula, statistical entropy, Boltzmann entropy, entropy as logarithm of microstates, Boltzmann principle, microstate entropy
  • SourceWikidata Q45003

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