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首页> 外文会议>International Conference of Computational Methods in Sciences and Engineering 2007(ICCMSE 2007); 20070925-30; Corfu(GR) >Nonlinear ac dielectric response in polyelectrolytes
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Nonlinear ac dielectric response in polyelectrolytes

机译：聚电解质中的非线性交流介电响应

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The problem of the nonlinear harmonic response in dielectric relaxation of polyelectrolytes is considered in the context of coupled (rotation-translation) kinetic equations. Perturbation theory is used to derive the complex dielectric increment for an assembly of non-polar rodlike macroions surrounded by small counterions and acted on by a strong dc bias electric field superimposed on a weak ac field. The approach starts from a Smoluchowski equation in configuration space of molecular orientations ( 9 ) and displacements (x) first used for Kerr effect relaxation by Szabo et al. [J. Chem. Phys. 85, 7472 (1986)]. By solving this equation for the stationary regime, we calculate the expectation value of where P_1and H_1 stand for the first Legendre and Hermite polynomials, characterizing the first harmonic component of the electric polarization of the macroion. The results so obtained in the form of analytic expressions are illustrated by Cole-Cole-like diagrams and three-dimensional dispersion and absorption plots in order to show the influence of the coupling parameter a measuring the importance of the rotational motion over the translational one.
机译：在耦合（旋转-平移）动力学方程的背景下考虑了聚电解质介电弛豫中的非线性谐波响应问题。扰动理论用于推导非极性杆状宏粒子的复合介电增量，该非极性杆状宏粒子被小抗衡离子包围，并受到叠加在弱ac场上的强dc偏置电场的作用。该方法从Szabo等人首先用于分子取向（9）和位移（x）的构型空间中的Smoluchowski方程开始，该位移首先用于Kerr效应弛豫。 [J.化学物理85，7472（1986）]。通过求解该方程的平稳状态，我们计算出的期望值，其中P_1和H_1代表第一勒让德和埃尔米特多项式，表征了宏离子电极化的第一谐波分量。如此获得的解析表达式形式的结果通过类Cole-Cole图和三维色散图和吸收图进行了说明，以显示耦合参数的影响，即测量旋转运动对平移运动的重要性。

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