Uncertainty quantification in MD simulations. Part I: Forward propagation

Published

Journal Article

This work focuses on quantifying the effect of intrinsic (thermal) noise and parametric uncertainty in molecular dynamics (MD) simulations. We consider isothermal, isobaric MD simulations of TIP4P (or four-site) water at ambient conditions, T = 298 K and P = 1 atm. Parametric uncertainty is assumed to originate from three force-field parameters that are parametrized in terms of standard uniform random variables. The thermal fluctuations inherent in MD simulations combine with parametric uncertainty to yield nondeterministic, noisy MD predictions of bulk water properties. Relying on polynomial chaos (PC) expansions, we develop a framework that enables us to isolate the impact of parametric uncertainty on the MD predictions and control the effect of the intrinsic noise. We construct the PC representations of quantities of interest (QoIs) using two different approaches: nonintrusive spectral projection (NISP) and Bayesian inference. We verify a priori the legitimacy of the NISP approach by verifying that the MD data satisfy regularity and smoothness conditions in the parameter space. The Bayesian inference approach relies on adaptively sampling the parameter space, based on analyzing the convergence of the PC expansions at different approximation levels. We show that for the present case, the effect of the thermal noise in the atomistic system can be controlled, and the MD predictions for the QoIs can be suitably represented using low-order PC models. © 2012 SIAM.

Full Text

Duke Authors

Cited Authors

  • Rizzi, F; Najm, HN; Debusschere, BJ; Sargsyan, K; Salloum, M; Adalsteinsson, H; Knio, OM

Published Date

  • December 1, 2012

Published In

Volume / Issue

  • 10 / 4

Start / End Page

  • 1428 - 1459

Electronic International Standard Serial Number (EISSN)

  • 1540-3467

International Standard Serial Number (ISSN)

  • 1540-3459

Digital Object Identifier (DOI)

  • 10.1137/110853169

Citation Source

  • Scopus