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arXiv 0903.2706physics.chem-phcond-mat.stat-mech
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电流对A + B -> C型反应扩散过程反应区宽度的影响

Width of reaction zones in A + B -> C type reaction-diffusion processes: Effects of an electric current

Kirsten Martens, Michel Droz, Zoltan Rácz

摘要:

研究了电流对不可逆A^- + B^+ -> C反应扩散过程中稳态反应区宽度的影响。电解质A =(A^+,A^-)和B =(B^+,B^-)的离子动力学由服从局部电中性的反应扩散方程描述,定态由在有限区域两端采用固定电解质浓度的库获得。我们发现,当电流驱动反应离子向反应区移动时,反应区的宽度减小,而在相反的情况下,反应区的宽度增加。的线性响应的宽度的电流估计发展的唯象理论的基础上的守恒定律,和电中性。该理论被发现重现数值解的一个很好的精度。

英文摘要:

We investigate the effects of an electric current on the width of a stationary reaction zone in an irreversible A^- + B^+ -> C reaction-diffusion process. The ion dynamics of the electrolytes A = (A^+, A^-) and B = (B^+, B^-) is described by reaction-diffusion equations obeying local electroneutrality, and the stationary state is obtained by employing reservoirs of fixed electrolyte concentrations at the opposite ends of a finite domain. We find that the width of the reaction zone decreases when the current drives the reacting ions towards the reaction zone while it increases in the opposite case. The linear response of the width to the current is estimated by developing a phenomenological theory based on conservation laws, and on electroneutrality. The theory is found to reproduce numerical solutions to a good accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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