Strong Mobility in Weakly Disordered Systems

dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2009-02-16
dc.date.accessioned2026-07-07T13:13:55Z
dc.date.available2026-07-07T13:13:55Z
dc.descriptionWe study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder: the hopping rate governing the movement of a particle between two neighboring lattice sites is inhomogeneous, and (ii) hard core interaction: the maximum occupancy at each site is one particle. We find that over a substantial regime, the root-mean-square displacement of a particle, sigma, grows super-diffusively with time t, sigma ~ (epsilon t)^{2/3}, where epsilon is the disorder strength. Without disorder the particle displacement is sub-diffusive, sigma ~ t^{1/4}, and therefore disorder dramatically enhances particle mobility. We explain this effect using scaling arguments, and verify the theoretical predictions through numerical simulations. Also, the simulations show that disorder generally leads to stronger mobility.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0902.2762
dc.identifierhttp://arxiv.org/abs/0902.2762
dc.identifierPhys. Rev. Lett. 102, 190602 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.190602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230051
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleStrong Mobility in Weakly Disordered Systems
dc.typetext

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