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- W2890480985 abstract "First weak solutions of generalized stochastic Hamiltonian systems (gsHs) are constructed via essential m-dissipativity of their generators on a suitable core. For a scaled gsHs we prove convergence of the corresponding semigroups and tightness of the weak solutions. This yields convergence in law of the scaled gsHs to a distorted Brownian motion. In particular, the results confirm the convergence of the Langevin dynamics in the overdamped regime to the overdamped Langevin equation. The proofs work for a large class of (singular) interaction potentials including, e.g., potentials of Lennard--Jones type." @default.
- W2890480985 created "2018-09-27" @default.
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- W2890480985 date "2018-09-18" @default.
- W2890480985 modified "2023-09-27" @default.
- W2890480985 title "Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials" @default.
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