Springer - The Boltzmann Equation: Theory and Applications

Explore the mathematical foundations of kinetic theory with The Boltzmann Equation: Theory and Applications from Springer. This text traces the history and development of the Boltzmann equation, starting from the landmark 1872 paper that provided a precise mathematical basis for understanding how a dilute gas approaches equilibrium. This work examines the velocity distribution function and its role in modern physics. While originally applied to classical gases, the principles discussed here extend to more complex systems. Readers will see how the equation can be generalized to study the electron gas in solids and the excitation gas in superfluids. It serves as a fundamental resource for those studying the approach to equilibrium and the kinetic theory of gases through a rigorous mathematical lens.