ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
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 ν, ν0, νI 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.454013
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