Effective conductivity of composites of graded spherical particles

Yu, K. W.; Gu, G. Q.

doi:10.1016/j.physleta.2005.07.037

Cited by 30 publications

(19 citation statements)

References 20 publications

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“…We should remark that the DEDT is also able to offer a good agreement with the exact result of a linear profile [19]. Most importantly, we have recently demonstrated that the DEDT is indeed exact for graded spherical particles of arbitrary dielectric gradation profiles [40].…”

Section: Numerical Resultssupporting

confidence: 61%

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Enhanced nonlinear optical responses of materials: Composite effects

2006

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We review recent theoretical progress in understanding physical processes of composite effects on enhanced third-order nonlinear optical responses of various kinds of the recently-proposed nonlinear optical materials, namely, colloidal nanocrystals with inhomogeneous metallodielectric particles or a graded-index host, metallic films with inhomogeneous microstructures adjusted by ion doping or temperature gradient, composites with compositional gradation or graded particles, and magneto-controlled ferrofluidbased nonlinear optical materials.

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Section: Numerical Resultssupporting

confidence: 61%

“…The traditional theories used to deal with the homogeneous materials [109], however fail to deal with composites of graded inclusions directly. To treat these composites, we have recently developed a first-principles approach [19,40,110] and a differential effective dipole theory (Section 2.4) [40,111].…”

Section: Composite Media Of Graded Spherical Particlesmentioning

confidence: 99%

Enhanced nonlinear optical responses of materials: Composite effects

2006

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“…22 Next, we will give the electric field in order to calculate the force between the spherical particle and the electric dipole moment…”

Section: Formalismmentioning

confidence: 99%

Dielectrophoresis of an Inhomogeneous Colloidal Particle under an Inhomogeneous Field: A First-Principles Approach

Fan

Huang

2006

J. Phys. Chem. B

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In reality, colloidal particles often possess an arbitrary inhomogeneity profile. We present a first-principles approach to dielectrophoresis of such an inhomogeneous colloidal particle under an inhomogeneous field of an oscillating electric dipole moment. For numerical simulations, we treat the inhomogeneous particle as a specific graded one with a physically motivated dielectric model and conductivity profile. We find that both multipolar interactions and spatial fluctuations inside the particle can affect the dielectrophoretic spectrum of the particle significantly.

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“…Later, DEDA was shown to be exact for spherical and cylindrical particles. 10,13 The DEDA method was also used by Dong et al 14,15 and Huang et al 16 to estimate the properties of linear and nonlinear graded composites. Recently, Duan et al 17 proposed a differential replacement procedure to estimate the effective properties of anisotropic graded spherical composites on the basis of energy equivalency condition.…”

Section: Introductionmentioning

confidence: 99%

Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes

Wei

Poon

2008

Phys. Rev. B

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The transformation field method ͑TFM͒ originated from Eshelby's transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.

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Effective conductivity of composites of graded spherical particles

Cited by 30 publications

References 20 publications

Enhanced nonlinear optical responses of materials: Composite effects

Enhanced nonlinear optical responses of materials: Composite effects

Dielectrophoresis of an Inhomogeneous Colloidal Particle under an Inhomogeneous Field: A First-Principles Approach

Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes

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