Smoothed Langevin dynamics of highly oscillatory systems

DOI10.1016/S0167-2789(99)00200-6zbMath0953.37013MaRDI QIDQ1581761

Sebastian Reich

Publication date: 8 October 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

normal formHamiltonian systemsmolecular dynamicsLangevin dynamicsaveragingconstrained systemhighly oscillatorycorrecting potentialsmoothed dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency, Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent high frequency, Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics, Balanced data assimilation for highly oscillatory mechanical systems, Langevin dynamics with constraints and computation of free energy differences, Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation, Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system

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