Underdamped Langevin dynamics
= Underdamped Langevin dynamics
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Underdamped Langevin dynamics augments position by momentum and combines Hamiltonian transport with friction and matching Gaussian noise. For potential $U$, momentum variance $\eta$, and friction $\gamma$, its invariant density is proportional to $\exp[-U(x)-|p|^2/(2\eta)]$.