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- W3100565660 abstract "We relate ϕ(x, s), the average number of sites at a transverse distance x in the directed animals with s sites in d transverse dimensions, to the two-point correlation function of a lattice gas with nearest neighbour exclusion in d dimensions. For large s, ϕ(x, s) has the scaling form s/Rds f(|x|/Rs), where Rs is the root-mean square radius of gyration of animals of s sites. We determine the exact scaling function for d = 1 to be f(r) = √π/2√3 erfc(r/√3). We also show that ϕ(x = 0, s) can be determined in terms of the animal number generating function of the directed animals." @default.
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- W3100565660 date "2003-03-19" @default.
- W3100565660 modified "2023-09-27" @default.
- W3100565660 title "Distribution of transverse distances in directed animals" @default.
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- W3100565660 doi "https://doi.org/10.1088/0305-4470/36/13/305" @default.
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