Relaxation of the Langevin saturation in dilute solution of mesogenic 10-TPEB molecules

Jadżyn, Jan; Kędziora, P.; Hellemans, Louis; Smet, K. De

doi:10.1016/s0009-2614(99)00126-8

Cited by 24 publications

(14 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which are quantitatively consistent with the Déjardin and Kalmykov calculations for ξ ࣘ 0.5 and compatible with experimental evidence [2][3][4]. The expression for the third harmonic contribution (k = 3) is normalized such that |χ * 3 (0)| = 1.…”

Section: Resultssupporting

confidence: 88%

“…Various contributions to nonlinear dielectric effects have been identified: dielectric saturation [1][2][3][4], chemical changes [5,6], fieldinduced changes in barrier height [7,8], field-dependent charge densities [9,10], and elevations of configurational and real temperatures [11][12][13][14], analogous to microwave heating [15]. More recently, a theory that connects nonlinear dielectric behavior to the number of dynamically correlated particles or nontrivial length scales has gained considerable attention [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Frequency dependence of dielectric saturation

Richert

2013

Phys. Rev. E

View full text Add to dashboard Cite

Dielectric saturation originates from the upper bound to dipole orientation, reached when all dipoles are aligned "perfectly" with respect to the electric field. For Debye-type dynamics, it is well established that the saturation effect is diminished at high frequencies relative to its steady-state value. Here, it is argued that a similar frequency dependence of this nonlinear dielectric effect is expected also for dispersive dynamics, provided that the system is dynamically homogeneous. By contrast, more realistic relaxation time dispersions based upon heterogeneous dynamics display a strongly reduced frequency dependence of dielectric saturation. Calculations demonstrate this effect in terms of both the fundamental and the third harmonic frequency susceptibilities. The relations of signatures of nonlinearity in different Fourier components of the response are briefly discussed.

show abstract

Section: Resultssupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Frequency dependence of dielectric saturation

Richert

2013

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…It was shown that our theory reproduces the known results of a polar fluid in vacuum [18], and is consistent with the experimental observations of Hellemans et al [2] for the nonlinear dielectric relaxation spectra of 10-TPEB dissolved in benzene. For the simple case where there is no correlation between the orientation of the molecules, we have obtained the harmonics of the Fröhlich field analytically by performing a perturbation expansion approach.…”

Section: Discussionsupporting

confidence: 92%

“…As studying the permittivity of molecules, or larger entities such as cells, yields detailed information about the structure and interactions in the system, frequency-dependent nonlinear dielectric increment of dipolar fluids has recently received much attention, see, e.g., Refs. [1][2][3][4] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear alternating current responses of dipolar fluids

Huang

Karttunen

2004

Phys. Rev. E

View full text Add to dashboard Cite

The frequency-dependent nonlinear dielectric increment of dipolar fluids in nonpolar fluids is often measured by using a stationary relaxation method in which two electric fields are used: The static direct current (dc) field of high strength causing the dielectric nonlinearity, and the probing alternating current (ac) field of low strength and high frequency. When a nonlinear composite is subjected to a sinusoidal electric field, the electric response in the composite will, in general, consist of ac fields at frequencies of higher-order harmonics. Based on the Fröhlich model, we present a theory to investigate the nonlinear ac responses of dipolar fluids containing both polarizable monomers and dimers. In the case of monomers only, our theory reproduces the known results. We obtain the fundamental, second-, and third-order harmonics of the Fröhlich field by performing a perturbation expansion. The even-order harmonics are induced by the coupling between the ac and dc fields, although the system under consideration has a cubic nonlinearity only. The harmonics of the Fröhlich field can be affected by the field frequency, temperature, dispersion strength, and the characteristic frequency of the dipolar fluid, as well as the dielectric constant of the nonpolar fluid. The results are found to be in agreement with recent experimental observations.

show abstract

“…The experiments on nonlinear dielectric relaxation effect in liquids have been performed for many years in Leuven and Poznań by De Smet, Hellemans, Jadżyn, Kȩdziora and co-workers [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Cole-Cole Plots for Linear and Nonlinear Dielectric Relaxation in Solutions of Rigid Highly Dipolar Symmetric-Top Molecules in Spherical Solvents

Alexiewicz

Grygiel

2008

Acta Phys. Pol. A

View full text Add to dashboard Cite

The graphical analysis of the influence of the rotational diffusion tensor anisotropy and the orientation of the permanent dipole moment on the linear and nonlinear dielectric relaxation is shown. The solution of Smoluchowski-Debye rotational diffusion equation for rigid, and noninteracting polar, symmetric-top molecules, in the "weak molecular reorientation approximation", was used. In order to highlight the influence of the symmetric shape of molecule, in comparison with classical, spherical-top Smoluchowski rotational diffusion, we present sets of Argand-type plots and three--dimensional Cole-Cole diagrams for linear and nonlinear electric susceptibilities. The results indicate that, in describing the nonlinear dielectric relaxation, the simplest spherical-top rotational diffusion model may be a sufficient approximation in some special cases only.

show abstract

Relaxation of the Langevin saturation in dilute solution of mesogenic 10-TPEB molecules

Cited by 24 publications

References 10 publications

Frequency dependence of dielectric saturation

Frequency dependence of dielectric saturation

Nonlinear alternating current responses of dipolar fluids

Cole-Cole Plots for Linear and Nonlinear Dielectric Relaxation in Solutions of Rigid Highly Dipolar Symmetric-Top Molecules in Spherical Solvents

Contact Info

Product

Resources

About