Inertial effects in the debye theory of dielectric relaxation at high field strengths

Coffey, W. T.; Rybarsch, C.; Schröer, Wolffram

doi:10.1016/0009-2614(83)80264-4

Cited by 13 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The resonantlike behavior of the nonlinear response spectrum corresponds in the time domain to the oscillations in the rise transient for large fields, which have been observed in computer simulations [25][26][27] and predicted already 12 for the simple case of rotation about a fixed axis by solving the corresponding Fokker-Planck equation. The oscillatory behavior may be seen in Fig.…”

Section: Resultssupporting

confidence: 60%

Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field

Titov

Kalmykov

Coffey

2008

The Journal of Chemical Physics

View full text Add to dashboard Cite

A method of calculation of nonlinear transient responses of an assembly of noninteracting polar linear molecules due to sudden changes in a strong external dc electric field is presented. The infinite hierarchy of differential-recurrence relations for the decay functions describing the relaxation of the system is derived by averaging the underlying inertial Langevin equation. The solution of this hierarchy is obtained in terms of matrix continued fractions. The integral relaxation time and the spectrum of the electric polarization for various nonlinear transient responses ͑step-on, step-off, and rapidly rotating field͒ are calculated for typical values of the model parameters. The nonlinear transient responses exhibit pronounced nonlinear effects due to the strong dc field. Analytical equations for the quantities of interest are presented in the overdamped limit. Furthermore, the linear response relaxation function and linear dynamic susceptibility are obtained as a particular case of a general nonlinear theory.

show abstract

Section: Resultssupporting

confidence: 60%

Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field

Titov

Kalmykov

Coffey

2008

The Journal of Chemical Physics

View full text Add to dashboard Cite

show abstract

“…If the inertia of the dipole is taken into account the torque will naturally give rise (as well as to the microwave Debye absorption peak) to a resonance absorption peak with peak frequency in the FIR region thus explaining the Poley absorption. The whole process is analogous to the behaviour of a driven damped pendulum in a uniform gravitational field with a time-varying centre of oscillation [2,20].…”

Section: Introductionmentioning

confidence: 99%

Complex susceptibility of the cage model of polar liquids

Coffey

Johari

Kalmykov

et al. 2003

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

The Langevin equations of motion of the cage model of polar liquids originally proposed by Hill (1963 Proc. Phys. Soc. 82 723) are solved for the first time for the particular case of rotation about a fixed axis, using a newly developed matrix continued fraction method. It is shown that the cage model predicts both the low-frequency Debye relaxation and a pronounced high-frequency (Poley) absorption peak in the far-infrared (FIR) region. The similarity of the equations of motion of the cage model to the equations which arise in the problem of generalizing the Onsager model of polar fluids to include a time-varying applied field suggests that the FIR (Poley) absorption may have its origins in the combined influence of molecular inertia and the torque due to the reaction field in the frequency-dependent version of the Onsager model. The complex susceptibility yielded by the cage model is shown to be in good agreement with experimental data on CH 3 Cl that were taken as a typical example. Moreover, a simple approximate formula based on a small-oscillation approximation can describe accurately the dielectric spectra in most cases of interest.

show abstract

“…This equation is valid only for small deviations from linearity, measured through a non-vanishing y'. Equation ( 1) is a limiting form of the cosinal itinerant oscillator theory of Coffey and co-workers [ 6 ] .…”

Section: Introductionmentioning

confidence: 99%

Field-Induced Acceleration of Fall Transients in Chiral Molecular Liquids: a Computer Simulation

Evans¹

1984

Phys. Scr.

View full text Add to dashboard Cite

Rise and decay transients of molecular orientation are simulated by computer for the enantiomers and racemic mixture of supercooled liquid fluorochloroacetonitrile. The rise transients are easily distinguishable in these three low temperature liquids and show a pronounced field dependence as predicted analytically by Morita from the Smoluchowski/Debye equation. An original result of this investigation is that the fall transients are accelerated considerably at constant temperature with respect to the equilibrium field-off orientational autocorrelation function. This is fundamental evidence for the use of non-linear Kramers equations for the description of molecular dynamics in the liquid state of matter at equilibrium.

show abstract

Inertial effects in the debye theory of dielectric relaxation at high field strengths

Cited by 13 publications

References 6 publications

Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field

Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field

Complex susceptibility of the cage model of polar liquids

Field-Induced Acceleration of Fall Transients in Chiral Molecular Liquids: a Computer Simulation

Contact Info

Product

Resources

About