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Travelling Waves And Periodic Oscillations In Fermi-pasta-ulam Latticesby Alexander Pankov
World Scientific 2005; US$ 73.00This is a unique book that presents rigorous mathematical results on Fermi?Pasta?Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi?Pasta?Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students. more...
Phonon Physics The Cutting Edgeby G. K. Horton; A.A. Maradudin
Elsevier 1995; US$ 380.00The first two volumes in this series published twenty years ago contained chapters devoted to anharmonic properties of solids, ab initio calculations of phonons in metals and insulators, and surface phonons. In the intervening years each of these important areas of lattice dynamics has undergone significant developments. This volume is therefore concerned with reviewing the current status of these areas. Chapter one deals with the path-integral quantum Monte-Carlo method as a numerical simulation approach and looks at how this has been applied successfully to the determination of low temperature thermodynamic properties of anharmonic crystals and to certain dynamical properties as well. Chapter two is concerned with the calculation of static... more...
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Cambridge University Press 1993; US$ 49.00This book provides a self-contained text that introduces the subject from a basic level and then takes the reader through applications of the theory. more...
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