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DY: Fachverband Dynamik und Statistische Physik

DY 27: Nonlinear Dynamics, Synchronization and Chaos - Part II

DY 27.2: Talk

Thursday, April 3, 2014, 09:45–10:00, ZEU 160

Instability of Velocity-Verlet Integrator as Stochastic Process — •Lothar Brendel — Universität Duisburg-Essen

The Velocity-Verlet integrator is ubiquitous in simulations of classical many-body systems. Though being time symmetric, it is known to be stable ``only'' on exponentially long times. We model its loss of stability as a stochastic process and compare the resulting characteristics to actual simulations at the verge of stability.