On a reformulation of the theory of Lifshitz–van der Waals interactions in multilayered systems

Podgornik, Rudolf; Hansen, Per Lyngs; Parsegian, V. Adrian

doi:10.1063/1.1578613

Cited by 32 publications

(41 citation statements)

References 7 publications

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“…who derived the general expression for the electromagnetic fluctuational interaction between two macroscopic isotropic bodies separated by an isotropic film. Although the generalization of the analysis [2] for the anisotropic and multilayer systems is conceptually straightforward, it deserves some attention, as it implies prohibitively tedious and bulky calculations, which could be done analytically only under certain rather restrictive approximations (see e.g., [4], [5]). Luckily, however, there are some cases when these approximative calculations can be performed in a well controlled way, and besides they may be useful for systems interesting for applications.…”

Section: Introductionmentioning

confidence: 99%

Casimir forces in modulated systems

Dzyaloshinskiǐ¹,

Kats²

2004

J. Phys.: Condens. Matter

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For the first time we present analytical results for the contribution of electromagnetic fluctuations into thermodynamic properties of modulated systems, like cholesteric or smectic liquid crystalline films. In the case of small dielectric anisotropy we have derived explicit analytical expressions for the chemical potential of such systems. Two limiting cases were specifically considered: (i) the Van der Waals (VdW) limit, i.e., in the case when the retardation of the electromagnetic interactions can be neglected; and (ii) the Casimir limit, i.e. when the effects of retardation becomes considerable.It was shown that in the Casimir limit, the film chemical potential oscillates with the thickness of the film. This non-monotonic dependence of the chemical potential on the film thickness can lead to step-wise wetting phenomena, surface anchoring reorientation and other important effects.Applications of the results may concern the various systems in soft matter or condensed matter physics with multilayer or modulated structures.

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Section: Introductionmentioning

confidence: 99%

Casimir forces in modulated systems

Dzyaloshinskiǐ¹,

Kats²

2004

J. Phys.: Condens. Matter

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“…The exact solution for the reflection coefficients of multilayered systems found by the transfer matrix method in Ref. [37][38][39] allows us to precisely calculate the van der Waals interactions for the system in Fig.4. The results are consistent with all expression of the reflection coefficients in our section II.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Repulsive interactions of a lipid membrane with graphene in composite materials

Phan

Hoang²,

Phan

et al. 2013

The Journal of Chemical Physics

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The van der Waals interaction between a lipid membrane and a substrate covered by a graphene sheet is investigated using the Lifshitz theory. The reflection coefficients are obtained for a layered planar system submerged in water. The dielectric response properties of the involved materials are also specified and discussed. Our calculations show that a graphene covered substrate can repel the biological membrane in water. This is attributed to the significant changes in the response properties of the system due to the monolayer graphene. It is also found that the van der Waals interaction is mostly dominated by the presence of graphene, while the role of the particular substrate is secondary.

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“…In the full 4 × 4 formulation there does not exist a single common scaling factor for the matrix R which would exactly map it to the 2 × 2 formalism of [9]. Scaling factors are, however, only related to the shift in the free energy, which is itself undetermined up to a constant.…”

Section: Isotropic Casementioning

confidence: 99%

Dispersion interactions in stratified anisotropic and optically active media at all separations

Veble

Podgornik

2009

Phys. Rev. B

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We propose a method to calculate dispersion interactions in a system composed of a one dimensional layering of finite thickness anisotropic and optically active slabs. The result is expressed within the algebra of 4 × 4 matrices and is demonstrated to be equivalent to the known limits of isotropic, nonretarded and uniaxial dispersion interactions. The method is also capable of handling dielectric media with smoothly varying anisotropy axes.

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On a reformulation of the theory of Lifshitz–van der Waals interactions in multilayered systems

Cited by 32 publications

References 7 publications

Casimir forces in modulated systems

Casimir forces in modulated systems

Repulsive interactions of a lipid membrane with graphene in composite materials

Dispersion interactions in stratified anisotropic and optically active media at all separations

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