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This lecture covers the fundamental concepts of diffusion and transport phenomena, focusing on Fick's law, isotropic diffusion, and the diffusion constant. It also delves into the application of these principles in various scenarios, such as thermal and electrical transport. The lecture explores the relationships between Onsager's relations, the diffusion equation, Fourier's law, Ohm's law, the Hall effect, thermoelectric effects like Seebeck and Peltier effects, and non-charged matter transport. Additionally, it discusses thermophoresis and the Soret effect. The content is illustrated through OCR-extracted slides, providing insights into the mathematical formulations and practical implications of these concepts.