Nonlinear dielectric relaxation and dynamic Kerr effect in a strong dc electric field suddenly switched on: Exact solutions for the three-dimensional rotational diffusion model.

نویسندگان

  • Coffey
  • Déjardin
  • Kalmykov
  • Titov
چکیده

The infinite hierarchy of differential-recurrence relations for ensemble averages of the spherical harmonics pertaining to the noninertial rotational Brownian motion of an ensemble of polar and anisotropically polarizable molecules in a strong external dc electric field is derived by averaging the underlying Langevin equation. This procedure avoids recourse to the Fokker-Planck equation, the solution of which involves complicated mathematical manipulations. Exact analytic solutions for the spectra of the relaxation functions and relaxation times for nonlinear dielectric relaxation and dynamic Kerr effect of symmetric top molecules are calculated for two limiting cases, namely, pure induced dipole moments and pure permanent moments, using the continued fraction method. The general case where both types of moment are taken into account is then considered by using matrix continued fractions. Exact expressions for the dielectric and Kerr effect relaxation times are also derived as functions of the parameters j and s characterizing the field-off and the induced dipole moments. Plots of these relaxation times are presented for various values of j and s. The nonlinear relaxation behavior is emphasized in figures showing how the real and imaginary parts of the spectra of the relaxation functions deviate from the Lorentzian profiles. @S1063-651X~96!12512-5#

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Study by simulation the influence of temperature on the formation of space charge in the dielectric multilayer Under DC Electric stress

Multidielectric polyethylene is a material that is generally employed as insulation for  the HVDC isolations. In this paper, the influence of temperature on space charge dynamics has been studied, low-density polyethylene (LDPE) and Fluorinated Ethylene Propylene (FEP) sandwiched between two electrodes were subjected to voltage application of 5kV (14.3 kV/mm) for extended duration of time ...

متن کامل

Fractional rotational diffusion of rigid dipoles in an asymmetrical double-well potential.

The longitudinal and transverse components of the complex dielectric susceptibility tensor of an assembly of dipolar molecules rotating in an asymmetric double-well potential are evaluated using a fractional rotational diffusion equation (based on the diffusion limit of a fractal time random walk) for the distribution function of orientations of the molecules on the surface of the unit sphere. ...

متن کامل

Theory of nonlinear ac susceptibilities of dynamic electrorheological fluids under a dc electric field

By using a perturbation approach, we theoretically investigate nonlinear ac susceptibilities of dynamic electrorheological fluids under a dc electric field. We consider the effect of a finite volume fraction. It is shown that the dynamic effect arising from a shear flow plays an important role in the ac responses. Meanwhile, the effect of a finite volume fraction offers a correction. The collec...

متن کامل

Study of leaky dielectric droplet behavior under an electric field: effect of viscosity and electric conductivity ratios

In this research, hydrodynamic behavior of a leaky dielectric droplet under an electric field is simulated. The level set method is used for interface tracking and the ghost fluid method is used for modeling discontinuous quantities at interface. Using Taylor’s leaky dielectric model, electric field and electric force at the interface is calculated. Simulation results show the droplet deformati...

متن کامل

Enhancement of the Magneto-Optical Kerr Effect in One- Dimensional Magnetophotonic Crystals with Adjustable Spatial Configuration

We studied magnetophotonic crystals (MPCs) with introduced magneticdefect layer sandwiched between magnetic and dielectric Bragg mirrors. Thesemagnetophotonic crystals have excellent capabilities to enhance reflection and Kerrrotation simultaneously. By adjusting spatial configuration such as repetition numbersof Bragg mirrors and thickness of magnetic defect layer, we a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

دوره 54 6  شماره 

صفحات  -

تاریخ انتشار 1996