Frequency dispersion in the fractional Langmuir approximation for the adsorption-desorption phenomena

被引：4

作者：

Barbero, Giovanni ^{[1
,2
]}

Evangelista, Luiz Roberto ^{[1
,3
]}

Lenzi, Ervin K. ^{[3
,4
]}

机构：

[1] Politecn Torino, Dipartimento Sci Appl, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Natl Res Nucl Univ, MEPhI Moscow Engn Phys Inst, Kashirskoye Shosse 31, Moscow 115409, Russia

[3] Univ Estadual Maringa, Dept Fis, Ave Colombo 5790, BR-87020900 Maringa, Parana, Brazil

[4] Univ Estadual Ponta Grossa, Dept Fis, BR-87030900 Ponta Grossa, Parana, Brazil

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2020年 / 476卷 / 2238期

关键词：

adsorption; kinetics; fractional calculus; differential equations; diffusion; relaxation; KINETIC-EQUATION; IMPEDANCE; SURFACE;

D O I：

10.1098/rspa.2019.0570

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose that a kinetic equation of fractional order may be used to account for the frequency dispersion of the effective parameters in the framework of the Langmuir approximation for the adsorption-desorption phenomena. A frequency dependence of these parameters naturally arises in this formalism, indicating that it may play a similar role of a generalization of the Langmuir isotherm obtained from a homogeneous distribution of relaxation times. The fractional approach formalism opens the possibility to consider different relaxation regimes characterizing the interfacial behaviour of electrolytic cells, and may be a powerful tool to interpret complex impedance spectroscopy data.

引用

页数：12

共 37 条

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