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论文摘要

强电场下化学反应体系非线性介电行为研究

Nonlinear dielectric behavior study of chemical reactions in a strong electric field

作者:洪涛(四川大学电子信息学院);唐正明(四川大学电子信息学院);朱铧丞(四川大学电子信息学院);兰俊卿(成都信息工程大学电子工程学院);黄卡玛(四川大学电子信息学院)

Author:HONG Tao(College of Electronics and Information Engineering, Sichuan University);TANG Zheng-Ming(College of Electronics and Information Engineering, Sichuan University);ZHU Hua-Cheng(College of Electronics and Information Engineering, Sichuan University);LAN Jun-QIng(College of Electronic Engineering, Chengdu University of Information Technology);HUANG Ka-Ma(College of Electronics and Information Engineering, Sichuan University)

收稿日期:2015-11-26          年卷(期)页码:2017,54(1):131-134

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:化学反应,非线性,改进型Smoluchowski方程,勒让德多项式

Key words:Chemical Reaction; Nonlinear; Modified Smoluchowski Equation; Legendre Polynomials

基金项目:国家重点基础研究发展计划(2013CB328900,2013CB328905)

中文摘要

在强电场的作用下,化学反应体系的反应速率会发生改变,进而影响反应体系的平衡状态,然而其机理仍不清楚。本文从反应体系的介电特性出发,研究了强静电场与反应体系的相互作用。在只考虑二阶非线性响应时,对改进型的Smoluchowski方程进行勒让德多项式展开,推导出反应体系极化强度的一般表达式。同时利用异构反应讨论了具体的非线性变化,结果表明,极化过程中的二阶非线性项与极化强度之比与电场强度成正比,同时讨论并给出了该结果的适用范围。

英文摘要

In the presence of a strong electric field, novel phenomena always happen in chemical reactions, including the change of chemical reaction rate and the shifting of chemical equilibria. However, the mechanism is still unknown. This paper studies the interactions between chemical reaction systems and strong steady electric fields. Based on the theory of molecule reorientation, the modified Smoluchowski equation is expanded by the Legendre polynomials. The general expression of polarization is derived by considering the second-order nonlinear response. The nonlinear variation is also discussed through a simple isomerization reaction. The result shows that the ratio between the second-order nonlinear term and the polarization is proportional to the electric field. Meanwhile, the condition for which the result applies is also discussed.

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