Thermodynamics and kinetics of adsorption in the presence of geometric roughness

Generalization of Randles-Ershler admittance for an arbitrary topography electrode: application to random finite fractal roughness

“…Understanding the influence of electrode geometric disorder, surface heterogeneity and bulk disorder on mass transport and their effect on the kinetics and electrochemical response has been the long standing goal of various studies [1,[3][4][5]2]. Their influence on the electrochemical responses and its application lies at the heart of modern day electrochemical devices like batteries [6,7], fuel cells [8,9], electrochromic smart windows [10], ion exchange membranes [11], solar cells [12], capacitive deionization cells [13], supercapacitors [13], nanostructured semiconductor electrodes [14], electrochromic films [10,15], and ion intercalation in nanostructured materials [7,16].…”

Theory of partial diffusion-limited interfacial transfer/reaction on realistic fractals

“…Transport phenomena are often encountered in natural or in the applied processes such as diffusion towards irregular membranes in physiological processes [1][2][3][4], adsorption phenomena [5][6][7][8][9][10], Eley-Rideal mechanism in heterogeneous catalysis in porous catalysts [11], spin relaxation [12], fluorescence quenching [12,13], enzyme kinetics [14,15] and several problems in electrochemistry of disordered systems . Most of the anomalous phenomena in these systems of disordered interface cannot be explained purely in terms of diffusion-controlled processes, as the mass transport of participants in interfacial reaction will depend on coupling with finite interfacial transfer rates.…”