A new L2-hypocoercivity derivation of the overdamped limit for position-dependent kinetic Langevin dynamics, including noise-induced drift and coarse-grained models.
Smoluchowski-Kramers approximation in the case of variable friction
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abstract
We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered.
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2026 1verdicts
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Overdamped limits for Langevin dynamics with position-dependent coefficients via $L^2$-hypocoercivity
A new L2-hypocoercivity derivation of the overdamped limit for position-dependent kinetic Langevin dynamics, including noise-induced drift and coarse-grained models.