Percolation processes in two dimensions. V. The exponent δp and scaling theory

摘要: For pt.IV see ibid., vol.9, p.725 (1976). By introducing a notional field variable lambda into the percolation problem, function Pc( ) is defined whose Ising analogue magnetic variation of magnetization along critical isotherm. Series expansions are used to study behaviour characterized by an exponent delta p, for both site and bond problems on more common two-dimensional lattices. The authors conclude that p dimensional invariant estimate p=18.0+or-0.75. It appears p=18, p=23/7, beta p=1/7 simplest set rational exponents which most consistent with available data satisfies scaling law gamma p= p( p-1) exactly.