J D Miller 1990 J. Phys. A: Math. Gen. 23 L551 doi:10.1088/0305-4470/23/11/007
Moment of inertia of doubly connecting bonds in two-dimensional bond percolation
J D Miller
Show affiliationsBy applying a theorem from conformal field theory to bond percolation in two dimensions the author obtains an equation for the second moment I of bonds which doubly connect a percolation cluster: (I)=A(5 square root 3/27 pi 2)(p-pc)-2. The equation is exact as the occupancy probability p approaches the critical probability pc from either side. A is a calculable lattice dependent number which for a square lattice equals 1/2.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
64.60.A- Specific approaches applied to studies of phase transitions
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B43 Percolation (See also 60K35)
81T40 Two-dimensional field theories, conformal field theories, etc.
- Subjects
- Dates
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Issue 11 (7 June 1990)
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Moment of inertia of doubly connecting bonds in two-dimensional bond percolation
J D Miller 1990 J. Phys. A: Math. Gen. 23 L551
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