Lattice properties of two-dimensional charge-stabilized colloidal crystals

Pavel Dyshlovenko; Yi-Ming Li

doi:10.1007/11758549_82

Lattice properties of two-dimensional charge-stabilized colloidal crystals

Pavel Dyshlovenko^*, Yi-Ming Li

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, electrostatic interaction in two-dimensional colloidal crystals obeying the non-linear Poisson-Boltzmann equation is studied numerically. We first give an overview of the recently developed approach to study of the lattice properties of colloidal crystals. The central point of the theory is determination of the force constants, which are the coefficients of the energy quadratic form of the crystal. Particular attention is given to the symmetry considerations. Some prospective topics of research are briefly discussed.

Original language	English
Title of host publication	Computational Science - ICCS 2006
Subtitle of host publication	6th International Conference, Proceedings
Publisher	Springer Verlag
Pages	599-606
Number of pages	8
ISBN (Print)	3540343857, 9783540343851
DOIs	https://doi.org/10.1007/11758549_82
State	Published - May 2006
Event	ICCS 2006: 6th International Conference on Computational Science - Reading, United Kingdom Duration: 28 May 2006 → 31 May 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3994 LNCS - IV
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	ICCS 2006: 6th International Conference on Computational Science
Country	United Kingdom
City	Reading
Period	28/05/06 → 31/05/06

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10.1007/11758549_82

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Dyshlovenko, P., & Li, Y-M. (2006). Lattice properties of two-dimensional charge-stabilized colloidal crystals. In Computational Science - ICCS 2006: 6th International Conference, Proceedings (pp. 599-606). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3994 LNCS - IV). Springer Verlag. https://doi.org/10.1007/11758549_82

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abstract = "In this paper, electrostatic interaction in two-dimensional colloidal crystals obeying the non-linear Poisson-Boltzmann equation is studied numerically. We first give an overview of the recently developed approach to study of the lattice properties of colloidal crystals. The central point of the theory is determination of the force constants, which are the coefficients of the energy quadratic form of the crystal. Particular attention is given to the symmetry considerations. Some prospective topics of research are briefly discussed.",

author = "Pavel Dyshlovenko and Yi-Ming Li",

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Dyshlovenko, P & Li, Y-M 2006, Lattice properties of two-dimensional charge-stabilized colloidal crystals. in Computational Science - ICCS 2006: 6th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3994 LNCS - IV, Springer Verlag, pp. 599-606, ICCS 2006: 6th International Conference on Computational Science, Reading, United Kingdom, 28/05/06. https://doi.org/10.1007/11758549_82

Lattice properties of two-dimensional charge-stabilized colloidal crystals. / Dyshlovenko, Pavel; Li, Yi-Ming.

Computational Science - ICCS 2006: 6th International Conference, Proceedings. Springer Verlag, 2006. p. 599-606 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3994 LNCS - IV).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper, electrostatic interaction in two-dimensional colloidal crystals obeying the non-linear Poisson-Boltzmann equation is studied numerically. We first give an overview of the recently developed approach to study of the lattice properties of colloidal crystals. The central point of the theory is determination of the force constants, which are the coefficients of the energy quadratic form of the crystal. Particular attention is given to the symmetry considerations. Some prospective topics of research are briefly discussed.

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Dyshlovenko P, Li Y-M. Lattice properties of two-dimensional charge-stabilized colloidal crystals. In Computational Science - ICCS 2006: 6th International Conference, Proceedings. Springer Verlag. 2006. p. 599-606. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/11758549_82

Lattice properties of two-dimensional charge-stabilized colloidal crystals

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