Gap-exponent evolution near the upper critical dimension of directed percolation
- 1 June 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (16) , 9686-9693
- https://doi.org/10.1103/physrevb.37.9686
Abstract
Exact series expansions from perimeter polynomials are used for direct estimation of the gap exponent for d=3 to d=6 in fully directed site percolation. The critical concentrations are estimated at =0.303±0.0015 (d=4), =0.231±0.003 (d=5), and =0.187±0.002 (d=6). The approach to d=5 (the upper critical dimension) is also discussed.
Keywords
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