Introduction To Percolation Theory

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CRC Press, Jul 18, 1994 - Science - 192 pages
3 Reviews
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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Love the book!
Makes you want to read the whole book in one day!
It's very clear, informative and hilarious!

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To read through this book would be the nice first step to learn percolation theory, from the basic to the application. You can check the relationship between diffusion of particles and critical values in percolation theory. You can find reasonable examples of fractal structures and the relationship of them with percolation phenomena.  

Contents

Forest Fires Fractal Oil Fields and Diffusion
1
Chapter 2 Cluster Numbers
15
Chapter 3 Cluster Structure
60
Chapter 4 FiniteSize Scaling and the Renormalization Group
74
Chapter 5 Conductivity and Related Properties
93
Chapter 6 Walks Dynamics and Quantum Effects
122
Chapter 7 Application to Thermal Phase Transitions
147
Chapter 8 Summary
160
Numerical Techniques
163
DimensionDependent Approximations
179
Exercises
183
Index
190
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