Percolation Critical Exponent
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, percolation critical exponents are percolating systems have a parameter p which controls the occupancy of sites on bonds in the system. At a critical value pc, the mean cluster size goes to infinity and the percolation transition takes place. As one approaches pc, various quantities either diverge or go to a constant value by a power-law in p pc , and the exponent of that power-law is the critical exponent. While the exponent of that power-law i...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, percolation critical exponents are percolating systems have a parameter p which controls the occupancy of sites on bonds in the system. At a critical value pc, the mean cluster size goes to infinity and the percolation transition takes place. As one approaches pc, various quantities either diverge or go to a constant value by a power-law in p pc , and the exponent of that power-law is the critical exponent. While the exponent of that power-law is generally the same on both sides of the threshold, the coefficient of the "amplitude" is generally different, leading to an amplitude ratio.
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