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Imposing Field Boundary Conditions in MD Simulation of Fluids: Optimal Particle Controller and Buffer Zone Feedback

Published online by Cambridge University Press:  10 February 2011

Ju Li ,
Dongyi Liao  and
Sidney Yip
Ju Li
Affiliation:
Department of Nuclear Engineering, MIT, Cambridge, MA 02139 (http://mmm.mit.edu)
Dongyi Liao
Affiliation:
Department of Nuclear Engineering, MIT, Cambridge, MA 02139 (http://mmm.mit.edu)
Sidney Yip
Affiliation:
Department of Nuclear Engineering, MIT, Cambridge, MA 02139 (http://mmm.mit.edu)
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Abstract

We formulate a method for imposing continuous field boundary conditions on an MD simulation with little or no disturbance to its dynamics. Our approach combines the previously developed thermodynamic field estimator, which extracts macroscopic fields from particle data, with a novel procedure, optimal in the sense of least disturbance, for imposing prescribed continuum field boundary conditions on the atomistic system. By means of feedback control and assuming molecular chaos in fluids, that disturbance can further be eliminated entirely, thus providing an exact solution for general steady-state fluid problems, where the desired fields at the real boundary is achieved by adjusting actions in a region separated from the real boundary by a buffer zone.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 538: Symposium J – Multiscale Modelling of Materials , 1998 , 473
Copyright
Copyright © Materials Research Society 1999

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References

[1] O'Connell, S. T. and Thompson, P. A., Phys. Rev. E 52, 5792 (1995).Google Scholar
[2] Smith, B. F., Bjorstad, P. E., Gropp, W. D., Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations (Cambridge University Press, 1996).Google Scholar
[3] Hadjiconstantinou, N. and Patera, A. T., Int. I Modern Phys. C 8 967, (1997).Google Scholar
[4] Li, J., Liao, D. and Yip, S., Phys. Rev. E 57, 7259 (1998).Google Scholar
[5] Liao, D., Li, J. and Yip, S., submitted to Phys. Rev. E.Google Scholar