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The 10 pages that link to Ergodic hypothesis, each with the reason it gives.

• Statistical mechanicsRelated: It addresses when time measurements can stand in for ensemble averages.

• Thermodynamic equilibriumRelated: It helps explain when microscopic dynamics support equilibrium statistical predictions.

• Phase spaceRelated: It links a trajectory’s sampling of phase space to equilibrium predictions.

• Ludwig BoltzmannRelated: It addresses when time averages can stand in for statistical averages in mechanics.

• Microcanonical ensembleRelated: It can justify estimating equilibrium probabilities from time averages over accessible states.

• Ergodic theoryRelated: It motivated the use of ergodic reasoning to justify equilibrium predictions.

• Paul EhrenfestRelated: Ehrenfest and Tatiana Ehrenfest examined its role in grounding statistical mechanics.

• Ergodic theoremRelated: Its physical motivation preceded rigorous theorems about trajectory averages.

• Classical statistical mechanicsRelated: It helps justify replacing long-time measurements with averages over an ensemble.

• Principle of minimum energyRelated: Failure to explore accessible states can prevent observed systems from reaching the predicted minimum.