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- W2021882183 abstract "The voltage drop distribution in the random-resistor networks constituted by all nearest-neighbor bonds connecting points visited by a lattice self-avoiding walk (SAW) is studied by accurate numerical techniques in d=2. An analysis of the moments of the distribution allows one to establish the value ensuremath{zeta}=1.333ifmmodepmelsetextpmfi{}0.007 for the resistance exponent and to exclude the possibility of multifractal behavior. These results are also consistent with a topological investigation of the connection properties of SAW, which independently yields ensuremath{zeta}=1.33ifmmodepmelsetextpmfi{}0.01. This clearly supports ensuremath{zeta}=(4/3 and a spectral dimension difmmode tilde{}else ~{}fi{}=1 for these walks, solving an old controversy. A possible extension of such an analysis to SAW at the FTHETA point is also discussed." @default.
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- W2021882183 date "1989-10-01" @default.
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- W2021882183 title "Conduction and connection properties of self-avoiding walks with bridges" @default.
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- W2021882183 doi "https://doi.org/10.1103/physreva.40.4704" @default.
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