Elastic Properties of Charge Stabilized Colloidal Crystals with Simple Cubic Lattice

Pavel Dyshlovenko; Anastasia Batanova; Elena Gladkova; Alexey Nagatkin; Azat Nizametdinov

doi:10.4028/www.scientific.net/MSF.845.178

Paper Titles

Density of States of Co- and Cr-Doped Ni_2.0Mn_1.5Sn_0.5 Heusler Alloys
p.162

Modeling of Phase Transitions Kinetics in Systems with Two Interacting Order Parameters
p.166

Mixed Control Problem for the Linearized Quasi-Stationary Phase Field System of Equations
p.170

Invariant and Partially Invariant Submodels of the Equations System Describing a Dynamics of Two Gases Mixture
p.174

Elastic Properties of Charge Stabilized Colloidal Crystals with Simple Cubic Lattice
p.178

Waves Generation by Spiral Magnets at Phase Transitions
p.185

Femtosecond Magnetooptics and the Orbital Model of the Ultrafast Magnetic Dynamics
p.189

Excitation and Dynamics of Domain Walls in Three-Layer Ferromagnetic Structure with Different Parameters of the Magnetic Anisotropy and Exchange
p.195

Conformational Transitions Control in Polynucleotide Chains by External Frequency-Modulated Exposure
p.199

HomeMaterials Science ForumMaterials Science Forum Vol. 845Elastic Properties of Charge Stabilized Colloidal...

Elastic Properties of Charge Stabilized Colloidal Crystals with Simple Cubic Lattice

Abstract:

Elasticity of charge stabilized colloidal crystals is studied numerically within the approximation of static lattice. Description of the colloidal systems is based on the non-linear differential Poisson-Boltzmann equation. Corresponding boundary value problems are solved numerically by finite element method. The equilibrium pressure and elastic moduli are obtained for different values of the lattice parameter. The many-body effective interactions are briefly discussed.

You might also be interested in these eBooks

Phase Transitions, Critical and Nonlinear Phenomena in Condensed Matter

View Preview

Info:

Periodical:

Materials Science Forum (Volume 845)

Pages:

178-181

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.845.178

Citation:

Cite this paper

Online since:

March 2016

Authors:

Pavel Dyshlovenko*, Anastasia Batanova, Elena Gladkova, Alexey Nagatkin, Azat Nizametdinov

Keywords:

Cauchy Relation, Colloidal Crystals, Elastic Constants, Many-Body Interaction, Poisson-Boltzmann Equation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] L. Belloni, Colloidal interactions, J. Phys.: Condens. Matter. 12 (2000) R549-R587.

DOI: 10.1088/0953-8984/12/46/201

Google Scholar

[2] T. H. K. Barron, M. L. Klein, Second-order elastic constants of a solid under stress, Proc. Phys. Soc. 85 (1965) 523-532.

DOI: 10.1088/0370-1328/85/3/313

Google Scholar

[3] V. Sadovnichy, A. Tikhonravov, Vl. Voevodin, V. Opanasenko, Lomonosov,: Supercomputing at Moscow State University. In Contemporary High Performance Computing: From Petascale toward Exascale (Chapman & Hall/CRC Computational Science), Boca Raton, USA, CRC Press, 2013, pp.283-307.

DOI: 10.1201/9781351104005-11

Google Scholar

[4] P. E. Dyshlovenko, Osmotic stress tensor in charge stabilized colloidal crystals, Colloid Journal 72(5) (2010) 627–632.

DOI: 10.1134/s1061933x10050078

Google Scholar