Linked from

The 15 pages that link to Boltzmann's entropy formula, each with the reason it gives.

• EntropyRelated: It gives the direct link between entropy and the number of accessible arrangements.

• Second law of thermodynamicsBroader topic: It gives a microscopic account of why entropy tends to increase.

• Boltzmann constantRelated: It makes k the conversion factor between information about microstates and thermodynamic entropy.

• Boltzmann distributionRelated: It connects the distribution's state counting to entropy.

• Boltzmann equationRelated: The equation’s H-theorem links distribution evolution to entropy change.

• Poincaré recurrence theoremRelated: Recurrence bears on whether statistical entropy increase can coexist with reversible microscopic motion.

• Microcanonical ensembleRelated: Equal probabilities make the entropy depend directly on the accessible-state count.

• Arrow of timeRelated: Its connection between multiplicity and entropy underlies the statistical account of the arrow.

• Maxwell–Boltzmann statisticsRelated: Its relation between probability and multiplicity underpins statistical equilibrium reasoning.

• Indistinguishable particlesRelated: The Gibbs paradox shows why counting identical particles as labeled overcounts states.

• Loschmidt's paradoxRelated: The paradox asks how this statistical entropy can rise when the underlying dynamics permit reversed trajectories.

• Gibbs paradoxRelated: Counting particle arrangements without correcting for indistinguishability causes the excess entropy.

• Entropy of mixingRelated: It connects the increase in possible mixed arrangements to an entropy change.

• Entropy as an arrow of timeRelated: Its multiplicity interpretation explains why systems typically evolve toward higher entropy.

• Planck postulateRelated: Planck used Boltzmann’s statistical method in deriving the radiation law.