For a harmonic oscillator chain with exchange noise, the diffusive limit is two independent heat equations for weak springs, a coupled parabolic system at the critical strength, and volume fluctuations satisfy an Edwards-Wilkinson-style identity.
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Stochastic oscillators out of equilibrium: scaling limits and correlation estimates
For a harmonic oscillator chain with exchange noise, the diffusive limit is two independent heat equations for weak springs, a coupled parabolic system at the critical strength, and volume fluctuations satisfy an Edwards-Wilkinson-style identity.