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NCUEIR > College of Science > Department of Physics > Periodical Articles > Item 987654321/14270

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/14270

Title:	Universal Amplitude Combinations for Self-avoiding Walks and Polygons on Directed Lattices
Authors:	Lin, Keh-Ying;Kao, Yee-Mou
Contributors:	物理學系
Date:	1999
Issue Date:	2012-09-10T06:37:57Z
Publisher:	IOP Publishing
Abstract:	Two directed lattices, the L lattice and Manhattan lattice, are studied. 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 L lattice and Manhattan lattice for up to 60 and 50 steps, respectively. We have also computed the number and mean-square radius of gyration for self-avoiding polygons on the L lattice and Manhattan lattice for up to 80 and 60 steps, respectively. We have estimated the critical amplitudes and our numerical results are consistent with the conjecture of universality for certain amplitude combinations. However, some amplitude combinations have values different from the corresponding values for undirected lattices.
Relation:	J. Phys. A: Math. Gen., 32(40): 6927-6938
Appears in Collections:	[Department of Physics] Periodical Articles

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