This paper introduces a weakened version of ergodicity that allows us to study this problem. First, we demonstrate the utility of the weakened ergodicity ...

Apr 10, 2015 · We discuss the long-time numerical simulation of Hamiltonian sys-tems of ordinary differential equations. Our goal is to explain the ability ...

Abstract. We discuss the long-time numerical simulation of Hamiltonian systems of ordinary differential equa- tions. Our goal is to explain the ability of ...

This paper introduces a weakened version of ergodicity that allows us to study this problem. First, we demonstrate the utility of the weakened ergodicity ...

Standard numerical methods are inappropriate for long-time simulation of Hamiltonian systems. ... Ergodicity and the numerical simulation of Hamiltonian systems.

Missing: Numerical Simulation

We discuss the long-time numerical simulation of Hamiltonian sys-tems of ordinary differential equations. Our goal is to explain the ability of symplectic ...

Geometric ergodicity is not just a theoretical concern. In practice, the lack of geometric ergodicity manifests as chains ignoring.

Abstract: A class of fast-slow Hamiltonian systems with potential Uε describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The ...

Molecular dynamics simulation is among the most important and widely used tools in the study of molecular systems, providing fundamental insights into molecular ...