Projects Involving Complex Electrochemical Interfaces
Following projects require use of Statistical Mechanics,
Quantum Mechanics, Stochastic Processes, other Mathematical Methods and
Experimental Electrochemistry.
Generalization of fundamental
equations of electrochemistry for the rough, porous and disordered electrodes.
Experimental electrochemistry
of the rough, porous and disordered electrodes.
Statistical theories of
electrochemical and optical transient techniques on disordered electrodes.
Theories for the
electrochemical responses of random fractal electrodes.
Theories of electron transfer,
work function and potential of zero charge on corrugated atomic steps containing
electrodes.
Modeling complex interfaces
as nano-architectured random geometries and random
topologies.
Diffusive,
migration and reactive transport to complex interfaces (i.e. rough and/or
porous structures): metal and semi-conductor electrodes, membranes and solid
catalysts.
Transport across
electrochemical interfaces coupled to complex reaction schemes.
Electrode dynamics in electrodeposition and electrodissolution:
fractal and non-fractal model.
Spatiotemporal pattern
formation in electrochemical systems.
Application of nanoelectrochemistry in sensors, electrochromic
films, supercapacitor, electrocatalysis,
Li -ion batteries.
These interdisciplinary projects involve concepts from
random fractal geometry and topology, and random reactivity can be applied in understanding of industrially
important systems like heterogeneous catalysis, corrosion, fuel cells and
optimization of their performance. These classes of problems are also of
interest in biology and medicine that comprise of the membranes studded with
ion-channels, lung alveoli, plant roots, villi in
human intestine.