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
Page 208 - The energy needed for this photonelectron interaction is equal to the energy difference between the bottom of the conduction band and the top of the valence band, called the energy gap.
Page 221 - Naturforschung 1, 20 (1948), give a value of 2000 cm'/volt sec. for high resistivity »-type germanium. The exponential factor comes from the variation of concentration with temperature. Statistical theory34 indicates that n, and n\ depend on temperature as (Ill.Sa) (Ill.Sb) where <p, is the energy difference between the bottom of the conduction band and the Fermi level and tph is the difference between the Fermi level and the top of the filled band.
Page 22 - Maxwell's gas molecules which repel each other with a force inversely proportional to the fifth power of their distance...
Page 210 - III-V compounds) have an energy-A- relationship such that the conduction band minimum and the valence band maximum occur at the same value of k.
Page 141 - Both g and r are discrete vectors: g = glt glt ..., gp , where p is the number of atoms in the unit cell of the Bravais lattice; r=r'a,, where a, are the principal translations of the lattice (i = 1, 2, 3) and r
Page 250 - Since the length of one side of a polygon is less than or equal to the sum of the lengths of the other sides, it follows that the length of P is less than or equal to the length of P', ie s(P)^.
Page 307 - N(0) is the density of states for one spin direction at the Fermi energy of the normal metal.
Page 437 - DAYS • 2-month loans may be renewed by calling (510)642-6753 • 1 -year loans may be recharged by bringing books to NRLF • Renewals and recharges may be made 4 days prior to due date DUE AS STAMPED BELOW APR 1 6 2004 DD20 15M 4-02 • IS8N019B519B50...
Page 100 - It will readily be appreciated that at high temperatures the contribution of the electrons to the specific heat of a metal is very small ; at low temperatures, however, it becomes an appreciable contribution to the whole.