This book introduces the concepts used to understand transport phenomena, which pervade all of physics. The focus is on the application of the statistical principles of kinetic theory to non-equilibrium situations, not only in the gas phase but also regarding plasmas, liquids, and solids. These powerful techniques are applied within the framework of the Boltzmann equation to a range of systems. The text is aimed at postgraduates and theoreticians, and assumes familiarity with the basic concepts of statistical mechanics and condensed matter physics. Beginning with the dilute classical gas, the authors then consider electron conduction in normal metals, insulators, superconductors and quantum liquids, and Bose liquids.
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according to eqn angular assumed atoms Boltzmann equation Brillouin zone calculated charge carriers chemical potential classical collision integral collision operator component conduction electrons conservation consider constant corresponding current density denotes derived determined deviation discussed dispersion relation distribution function driving term effects eigenfunctions electron-electron energy gap entropy equal equilibrium distribution experimental expression factor Fermi energy Fermi liquid Fermi surface free electron model frequency given by eqn Hall coefficient Hamiltonian hydrodynamic impurity scattering integral equation interaction introduced involving kinetic Landau parameters lattice limit linear liquid 3He low temperatures magnetic field magnetoresistance magnitude mass matrix element mean free path momentum normal metals obtained orbits oscillations particles phonons Problem processes proportional quantum quasiparticle relaxation rate resistivity result scattering rate Section semiconductors solution sound velocity spin superconductor superfluid temperature dependence tensor theory thermal conductivity thermopower transformation transport coefficients Umklapp validity vector viscosity wavevector yields zero