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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum and Semi-classical Percolation and Breakdown in Disordered Solids (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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Quantum and Semi-classical Percolation and Breakdown in Disordered Solids (Paperback, Softcover reprint of hardcover 1st ed. 2009)
Series: Lecture Notes in Physics, 762
Expected to ship within 10 - 15 working days
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This lecture notes in physics volume mainly focuses on the semi
classical and qu- tum aspects of percolation and breakdown in
disordered, composite or granular s- tems. The main reason for this
undertaking has been the fact that, of late, there have been a lot
of (theoretical) work on quantum percolation, but there is not even
a (single) published review on the topic (and, of course, no book).
Also, there are many theoretical and experimental studies on the
nonlinear current-voltage characteristics both away from, as well
as one approaches, an electrical breakdown in composite materials.
Some of the results are quite intriguing and may broadly be
explained utilising a semi classical (if not, fully quantum
mechanical) tunnelling between - cron or nano-sized metallic
islands dispersed separated by thin insulating layers, or in other
words, between the dangling ends of small percolation clusters.
There have also been several (theoretical) studies of Zener
breakdown in Mott or Anderson in- lators. Again, there is no review
available, connecting them in any coherent fashion. A compendium
volume connecting these experimental and theoretical studies should
be unique and very timely, and hence this volume. The book is
organised as follows. For completeness, we have started with a
short and concise introduction on classical percolation. In the
?rst chapter, D. Stauffer reviews the scaling theory of classical
percolation emphasizing (biased) diffusion, without any quantum
effects. The next chapter by A. K.
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