Home > Publications database > High-order sampling schemes for path integrals and Gaussian chain simulations of polymers |
Journal Article | FZJ-2015-07763 |
;
2015
American Institute of Physics
Melville, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/18983 doi:10.1063/1.4919311
Abstract: In this work, we demonstrate that path-integral schemes, derived in the context of many-body quantum systems, benefit the simulation of Gaussian chains representing polymers. Specifically, we show how to decrease discretization corrections with little extra computation from the usual O(1/P 2) to O(1/P 4), where P is the number of beads representing the chains. As a consequence, high-order integrators necessitate much smaller P than those commonly used. Particular emphasis is placed on the questions of how to maintain this rate of convergence for open polymers and for polymers confined by a hard wall as well as how to ensure efficient sampling. The advantages of the high-order sampling schemes are illustrated by studying the surface tension of a polymer melt and the interface tension in a binary homopolymers blend.
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