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Concerning the product ofC 3 withC 2 or its complex conjugate, we can always apply Lemma A.1 to bound the contribution asK/ p min (t, s)

the product ofC 1 timesC ∗ 3 (orC ∗ 1 timesC 3), where the denominators (ω 2 −Ω 2 +(α))Dα(−iω+ 0+) or (ω2 − Ω∗ +(α) 2)Dα(iω+ 0 +) appear: here we get a term bounded byKα −2e−ξ(α) m

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Approach to equilibrium for a particle interacting with a harmonic thermal bath

cond-mat.stat-mech · 2025-10-22 · unverdicted · novelty 5.0

A harmonic probe coupled to a large harmonic bath approximates stochastic thermostat behavior with exponential correlation decay when its frequency lies in the bath spectrum, but higher-order coupling terms introduce persistent oscillations and power-law decays.

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  • Approach to equilibrium for a particle interacting with a harmonic thermal bath cond-mat.stat-mech · 2025-10-22 · unverdicted · none · ref 16

    A harmonic probe coupled to a large harmonic bath approximates stochastic thermostat behavior with exponential correlation decay when its frequency lies in the bath spectrum, but higher-order coupling terms introduce persistent oscillations and power-law decays.