Editing Ergodic hypothesis
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The | The Ergodic hypothesis (Ref 1 and 2) essentially states that an ensemble average (i.e. [[Monte Carlo]]) of an observable, <math> \langle O \rangle_\mu</math> is equivalent to the time average, <math>\overline{O}_T</math> of an observable (i.e. [[molecular dynamics]]). ''i.e.'' | ||
:<math>\lim_{T \rightarrow \infty} \overline{O}_T (\{q_0(t)\},\{p_0(t)\}) = \langle O \rangle_\mu.</math> | :<math>\lim_{T \rightarrow \infty} \overline{O}_T (\{q_0(t)\},\{p_0(t)\}) = \langle O \rangle_\mu.</math> |