Distribution of transverse distances in directed animals

Sumedha, ; Dhar, Deepak (2003) Distribution of transverse distances in directed animals Journal of Physics A: Mathematical and General, 36 (13). pp. 3701-3707. ISSN 0305-4470

Full text not available from this repository.

Official URL: http://iopscience.iop.org/0305-4470/36/13/305

Related URL: http://dx.doi.org/10.1088/0305-4470/36/13/305


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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:82193
Deposited On:10 Feb 2012 04:17
Last Modified:10 Feb 2012 04:17

Repository Staff Only: item control page