Microscopic Transport Theory: Core Concepts

Transport phenomena—the movement of mass, energy, and momentum—are central to almost every field of science and engineering. To truly innovate, you must first understand the fundamental microscopic laws governing these processes. This course strips away the complexity, offering a clear, text-based explanation of the molecular and atomic theories that drive transport. By the end, you will be able to interpret and model how substances interact and move within a system based on foundational principles. What you'll learn: * Understand the core definitions and distinctions between mass, momentum, and energy transport mechanisms. * Learn the foundational principles of kinetic theory, including concepts like mean free path and collision frequency. * Apply classical continuum models, such as Fick's laws for diffusion and Fourier's law for heat conduction. * Analyze the crucial link between microscopic events and macroscopic observations (micro/macro coupling). * Practice introductory concepts of computational modeling used to simulate simple transport systems. * Grasp how modern multiscale modeling techniques bridge atomic-level physics with engineering scale predictions. The course begins by establishing the necessary terminology and foundational physical concepts. We then progress through the essential theoretical frameworks—from kinetic theory to continuum models—before exploring how these principles are applied in contemporary computational simulations. This course is designed for absolute beginners in engineering, physics, or materials science. No prior knowledge of advanced thermodynamics or differential equations is required. Build your essential theoretical foundation for understanding how the world moves.