Percolation theory deals with clustering, criticallity, diffusion, fractals, phase transitions and disordered systems. It provides a quantitative model for understanding these phenomena, and therefore provides a theoretical, statistical background to many physical and natural science disciplines. The scope of this book is suitably broad, covering the basic theory for the graduate while also reaching into the specialized fields of disordered systems and renormalization groups. Readers are expected to be able to handle some fundamental mathematical procedures such as integration and differentiation of single variable functions, probability and statistics. They will also find it useful if they have some computer programming experience (e.g. in Fortran). While percolation is treated as being a fundamentally physical concept, its relevance to various natural and living systems is addressed. Much of the book deals with systems lying clsoe to the critical point (phase transition point), where the subject is at its most interesting and sensitive. This book should be of value to all those scientists who deal with systems which exhibit critical points and phase transition behaviour. It is also aimed at undergraduate and graduate students of physics. Physicists, chemists, engineers, mathematicians, and researchers in the discipline of disordered systems and fractals should also find it useful.Vom Verlag:
This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups.
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