Mathematical modeling of electrochemical systems at multiple scales

Scientific discoveries and inventions are driving novel technological concepts that demand unprecedented control at the microscopic scale during processing. Challenges arise because critically important events occur at the atomistic scale, while the corresponding technological processes are designed to operate and be controlled at the macroscale. New approaches are therefore needed that couple traditional engineering design methods with non-continuum stochastic phenomena. This work provides perspectives on what is needed to implement deep integration of engineering design procedures with molecular-scale knowledge.