Transport Phenomena

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Henrik Smith, 1989 - Transport theory. - 431 pages
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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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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.
Page 96 - The transition probability is proportional to the square of the magnitude of the matrix element of this operator between the initial and final states, summed over the possible final states and radiation modes.

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