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While the averages of system observables, their time-integrals are asymptotically determined by the stationary distribution, limt→∞⟨O(t)⟩ = limt→∞⟨O(t)⟩/t = ⟨O⟩ss ≡ pT sso, fo

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cond-mat.stat-mech 1

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2024 1

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Occupation Uncertainty Relations

cond-mat.stat-mech · 2024-11-22 · accept · novelty 7.0

For any ergodic Markov process, asymptotic correlations between occupation times are bounded from below by a reference-independent matrix built from stationary probabilities and configuration lifetimes, with saturation for unidirectional cycles.

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  • Occupation Uncertainty Relations cond-mat.stat-mech · 2024-11-22 · accept · none · ref 1

    For any ergodic Markov process, asymptotic correlations between occupation times are bounded from below by a reference-independent matrix built from stationary probabilities and configuration lifetimes, with saturation for unidirectional cycles.