By William Jones, Norman H. March
This huge two-volume paintings is without doubt one of the such a lot large remedies of reliable kingdom concept ever released. meant essentially for pro theoretical physicists and postgraduate scholars, it bargains particular, thorough assurance of an important facets of good kingdom physics, awarded in an surprisingly readable demeanour. tough themes (e.g. many-body concept) are lined with a readability that renders them available to experimental physicists as well.
Concisely written and well-organized, the 2 volumes are all for fairly varied facets of the subjects.
Volume I bargains with the elemental thought of the equilibrium homes of ideal crystalline solids. significant themes comprise: Band thought and Crystal Symmetry; Collective results in Solids; Lattice Waves; Spin and Orbital Magnetism; and interplay of debris with a Crystal.
Volume II offers intimately with non-equilibrium homes and in addition features a dialogue of defects and disordered platforms. subject matters comprise: shipping; Optical houses; Superconductivity; Polarons and Excitons; and Defects and Disordered Systems.
Students will in particular have fun with the wealth of priceless difficulties incorporated in either volumes, besides various explanatory diagrams and valuable appendixes. expert physicists will welcome the comprehensiveness and thoroughness of Theoretical good kingdom Physics, nonetheless unsurpassed as a uncomplicated reference paintings in a major and fast-moving discipline.
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Example text
3 Classical or Mean-Field Theory Standard variational methods applied to the expression for the partition function give the classical MF equation: the PB equation for φcl (x) as the saddle point equation of the corresponding field theory. In this case, the disjoining pressure P is given by the value of ion density at the midpoint x = L/2 between the bounding surfaces. The MF theory predicts that universally P > 0, contrary to our exact result and also to experiment; it does not predict any collapse transition, which is thus obviously a consequence of the non-MF correlation effects and is intrinsically a fluctuation phenomenon.
4) The presence of induced dipoles, in turn, contributes to a dielectrophoretic interaction of an ion with a field. Accordingly, the density distribution of ions becomes [Frydel (2011)], c± = cs exp(∓eβψ + βα|∇ψ|2 /2). 5) The above theoretical framework can be used to describe a somewhat different but related situation. A dissolved charged particle (for simplicity taken to be a point) is tightly bound to March 21, 2014 10:4 PSP Book - 9in x 6in 32 Extended Poisson–Boltzmann Descriptions of the Electrostatic Double Layer solvent dipoles forming its hydration shell so that the dipoles become unresponsive to presumably a weaker external field.
99, p. 077801. Bikerman, J. J. (1942). Structure and capacitance of electrical double layer, Phil. Mag. Series 7 33, p. 384. , Andelman, D. and Orland, H. (1997). Steric effects in electrolytes: A modified Poisson–Boltzmann equation, Phys. Rev. Lett. 79, p. 435. , Frydel, D. and Oettel, M. (2008). Multipole expansion of the electrostatic interaction between charged colloids at interfaces, Phys. Rev. E 77, p. 020401(R). Frydel, D. (2011). Polarizable Poisson–Boltzmann equation: The study of polarizability effects on the structure of a double layer, J.