Transient Diffusion in Electrochemical Systems

How do ions move through an electrochemical system over time? Understanding transient diffusion is critical to designing efficient batteries, fuel cells, and supercapacitors where steady-state assumptions do not apply. This course provides a clear, mathematically grounded introduction to time-dependent mass transport in electrochemical systems. You will transition from fundamental transport equations to solving practical engineering problems involving concentration gradients and dynamic current responses. What you'll learn: Understand the core principles of Fick's laws of diffusion in transient states; Solve the diffusion equation under various boundary conditions relevant to energy storage; Analyze concentration polarization and its impact on electrochemical cell performance; Model the transient response of electrodes during charging and discharging cycles; Apply modern numerical approximation concepts to simulate diffusion profiles. The course begins with foundational definitions of mass transport, chemical potential, and diffusion coefficients. From there, you will progress to analytical solutions of the diffusion equation, moving from semi-infinite media to finite boundary layers. This course is designed for engineering students, electrochemists, and energy technology professionals who have a basic background in calculus and thermodynamics. Start mastering the dynamics of mass transport to optimize modern electrochemical energy devices.