Kelvin played a big part in the development of statistical mechanics, both for equilibrium and non-equilibrium. This chapter reviews these developments, taking a particular interest in Kelvin's own contributions. Topics covered include Kelvin and thermoelectricity, gas modeled as a collection of molecules, the reversibility paradox, mathematical probability models, and Boltzmann's equations.
Keywords: Lord Kelvin, statistical mechanics, equilibrium, non-equilibrium, thermoelectrity, reversibility paradox, mathematical probability models, Boltzmann's equations