Trap avoiding walk: a model for polymer growth

Narasimhan, S. L. ; Goyal, P. S. ; Dasannacharya, B. A. (1988) Trap avoiding walk: a model for polymer growth Journal of Chemical Physics, 88 (4). pp. 2800-2803. ISSN 1674-0068

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To describe the irreversible growth of a linear polymer chain, we introduce a random walk called trap avoiding walk (TAW). This walk is strictly self-avoiding, can grow successfully to any specified length, and does not have the restriction that it should not end inside a cage. This has been achieved by allowing a TAW to avoid only those cages which prevent it from growing to its full length. The physical justification for such a walk is that a polymer can, in general, grow inside a cage and get chemically terminated there. Monte Carlo results of the TAW on a square lattice for lengths up to N=105 are presented. The critical exponents V, V0, VI of the mean square end-to-end distance for the total ensemble of TAWs and for its subensembles of walks ending outside and inside cages are found to have the values 0.571±0.005, 0.578±0.007, and 0.61±0.05, respectively.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Polymers; Random Walk; Chains; Growth; Polymerization
ID Code:10145
Deposited On:04 Nov 2010 07:08
Last Modified:28 May 2011 07:06

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