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Universal amplitude ratios for self-avoiding walks on the kagome lattice

Keh Ying Lin and Jing Xian Huang

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We have calculated exactly the number, the mean-square end-to-end distance, the mean-square radius of gyration, and the mean-square distance of a monomer from the origin, for n-step self-avoiding walks on the kagome lattice up to 30 steps. We have estimated the connective constant and the critical amplitudes. Our numerical results are consistent with the theoretical prediction by Cardy and Saleur (1989) on the universality for certain amplitude ratios.


PACS

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

61.41.+e Polymers, elastomers, and plastics

MSC

06Bxx Lattices (See also 03G10)

82D60 Polymers

Subjects

Soft matter, liquids and polymers

Statistical physics and nonlinear systems

Dates

Issue 13 (7 July 1995)



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