We consider a nanosystem consisting of two coplanar uniformly charged nanodisks that are coupled via Coulomb forces. Such a model represents a typical situation encountered in two-dimensional semiconductor quantum dot systems of electrons. We provide an exact integral expression for the interaction energy between the two coplanar nanodisks as a function of their separation distance. It is found that the difference between a standard Coulomb potential and the current one has features reminiscent of a Lennard-Jones interaction potential. The results derived can be useful to understand formation of clusters and/or aggregates in systems of coplanar charged nanodisks that contain electrons.
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NETWORK THEORETIC APPROACH TO ATOMISTIC MATERIAL MODELING USING SPECTRAL SPARSIFICATION
Network theory is used to formulate an atomistic material network. Spectral sparsification is applied to the network as a method for approximating the interatomic forces. Local molecu- lar forces and the total force balance is quantified when the inter- nal forces are approximated. In particular, we compare spectral sparsification to conventional thresholding (radial cut-off dis- tance) of molecular forces for a Lennard–Jones potential and a Coulomb potential. The spectral sparsification for the Lennard– Jones potential yields comparable results while spectral sparsi- fication of the Coulomb potential outperforms the thresholding approach. The results show promising opportunities which may accelerate molecular simulations containing long-range electri- cal interactions which are relevant to many multifunctional ma- terials.
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- Award ID(s):
- 1648618
- PAR ID:
- 10075875
- Date Published:
- Journal Name:
- Proceedings of the ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
- Volume:
- 1
- Issue:
- 1
- Page Range / eLocation ID:
- V001T08A012
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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