The Boltzmann Equation and Its Applications

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The book explores the two branches of statistical mechanics: equilibrium and nonequilibrium systems. It highlights the well-defined Gibbs's ensembles for understanding equilibrium properties and discusses the less understood realm of nonequilibrium phenomena, particularly focusing on dilute gases. The Boltzmann equation, established in 1872, serves as a foundational tool for kinetic theory, applicable to various fields such as electron transport, neutron transport, and radiative transfer. Recent advancements in both areas are also examined, reflecting significant progress in the last three decades.