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Автор Paul J M Bastiaansen
Автор Hubert J F Knops
Дата выпуска 1997-03-21
dc.description We present some exact results on percolation properties of the Ising model, when the range of the percolating bonds is larger than the nearest neighbours. We show that the phase diagram for next-nearest neighbour percolation can be exactly obtained from the nearest-neighbour case, which implies that the percolation threshold, , is still equal to the Ising critical temperature . In addition, we present Monte Carlo calculations of the finite size behaviour of the correlated resistor network defined on the Ising model. The thermal exponent, t, of the conductivity that follows from it is found to be . We observe no corrections to scaling in its finite size behaviour.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Correlated percolation and the correlated resistor network
Тип paper
DOI 10.1088/0305-4470/30/6/007
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 30
Первая страница 1791
Последняя страница 1801
Аффилиация Paul J M Bastiaansen; Institute for Theoretical Physics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands
Аффилиация Hubert J F Knops; Institute for Theoretical Physics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands
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