Statistical Thermodynamics: Non-Equilibrium and Gas Transport

How do gases and liquids behave when they are not in a state of perfect equilibrium? Understanding these transport phenomena is key to solving real-world engineering and physics challenges, from microfluidic devices to atmospheric modeling. This course guides you through the core principles of non-equilibrium statistical thermodynamics, showing you how macroscopic transport properties emerge from microscopic molecular interactions. You will transition from basic physical concepts to solving complex transport equations with confidence. What you'll learn: - Understand the fundamental definitions and key terminology of non-equilibrium systems. - Calculate transport properties of ideal gases using simple kinetic theory and molecular estimates. - Analyze the Boltzmann transport equation and its role in describing non-equilibrium gas dynamics. - Apply the Chapman-Enskog method to derive transport coefficients for real-world gases. - Explore modern computational modeling concepts used to simulate non-equilibrium transport in dense fluids and microscale environments. The course begins with foundational definitions of non-equilibrium states before progressing systematically through kinetic theory, the Boltzmann equation, and analytical solutions. You will reinforce your learning through clear written explanations, step-by-step derivations, and practical text-based exercises. This course is designed for students, researchers, and engineers new to non-equilibrium statistical mechanics who have a basic background in introductory thermodynamics. No advanced prior knowledge of transport theory is required. Start reading today to unlock the molecular secrets of transport phenomena.