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A system is said to be ergodic if time averages are, for a sufficient long time, equivalent to phase space averages. This "ergodic hypothesis" is taken by many authors as the foundation of statistical mechanics.
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Ergodic Hypothesis; canonical ensemble
I'm currently studying for an exam in thermodynamics/classic statistical mechanics and 2 things came up which are confusing me.
First the Ergodic Hypothesis states that it is equal to take the mean v …