Title
Nonlinear instability in multiple time stepping molecular dynamics
Abstract
This paper discusses additional stability limitations of multiple time stepping (MTS) integrators for molecular dynamics (MD) that attempt to bridge time scales. In particular, it is shown that when constant-energy (NVE) simulations of Newton's equations of motion are attempted using the Verlet-I/r-RESPA/Impulse, there are nonlinear instabilities when the longest step size is one third and possibly one fourth of the period(s) of the fastest motion(s) in the system. This is demonstrated both thorough the analysis of a nonlinear model problem and through a through set of numerical simulations.
Year
DOI
Venue
2003
10.1145/952532.952568
SAC
Keywords
Field
DocType
fastest motion,molecular dynamic,longest step size,nonlinear instability,additional stability limitation,numerical simulation,multiple time,time scale,nonlinear model problem,equation of motion
Nonlinear system,Mathematical analysis,Instability,Integrator,Impulse (physics),Molecular dynamics,Equations of motion,Nonlinear model,Physics
Conference
ISBN
Citations 
PageRank 
1-58113-624-2
1
0.39
References 
Authors
5
3
Name
Order
Citations
PageRank
Qun Ma1285.08
Jesús A. Izaguirre212915.40
Robert D. Skeel3971186.69