Localization of directed polymers in random media due to a columnar defect

作者: Jong-Dae Lee , Jin Min Kim , Jae Hwan Lee

DOI: 10.3938/JKPS.66.1207

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摘要: We investigate the localization of directed polymers in random media due to presence an attractive columnar defect at center a two-dimensional substrate. If defect’s strength is too weak affect polymers, length exhibits power-law behavior as function polymer length, case no defect. When greater than critical value, approaches finite thereby yielding exponent (or liberation exponent) ν ⊥ = 1.8004(31). The correlation which perpendicular defined distance over localized by ‖ 2.881(5) estimated from data collapse via scaling relation ζ ⊥/ν ‖, where 5/8 represents wandering exponent. In addition, we measure number times that optimal path passes through defect, because increases increases. This measurement yields new λ 0.59.

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