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• W2010282673 abstract "We study biased random walkers on lattices with randomly dispersed static traps in one, two and three dimensions. As the external bias is increased from zero the system undergoes a phase transition, most clearly manifested in the asymptotic drift velocity of survivors which is zero below a critical bias. This transition is second-order in one dimension but of first order in higher dimensions. The model can be mapped to a stretched polymer with attractive interaction between monomers, and this phase transition would then describe sudden unfolding of the polymer when the stretching force exceeds a critical value. We also present precise simulations of the zero bias case where we show unambiguously that the transition between the Rosenstock and Donsker-Varadhan regimes is first order in dimension $ge 2$." @default.
• W2010282673 created "2016-06-24" @default.
• W2010282673 creator A5061543340 @default.
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• W2010282673 date "2002-08-01" @default.
• W2010282673 modified "2023-10-16" @default.
• W2010282673 title "Transition to localization of biased walkers in a randomly absorbing environment" @default.
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• W2010282673 doi "https://doi.org/10.1016/s0167-2789(02)00513-4" @default.
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