Following projects require use of Statistical
Mechanics, Quantum Mechanics, Stochastic Processes, other Mathematical Methods
and Experimental Electrochemistry.
fundamental equations of electrochemistry for the disordered electrodes.
Statistical theories of
electrochemical and optical responses of disordered electrodes.
Theories for the
electrochemical responses of random fractal electrodes.
Theories of electrochemical
responses of nano-architectured electrodes.
Modeling complex interfaces
as random geometries and random topologies.
reactive transport to complex interfaces (i.e. rough and/or porous structures):
metal and semi-conductor electrodes, membranes and solid catalysts.
electrochemical interfaces coupled to complex reaction schemes.
Electrode dynamics in electrodeposition and electrodissolution:
fractal and non-fractal model.
formation in electrochemical systems.
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