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The scaling of higher cumulants in a diffusion problem
Authors:N I Lebedev  A S Sigov
Institution:(1) Moscow Institute of Radioengineering, Electronics and Automation, 117454 Moscow, USSR
Abstract:The scaling properties of higher cumulants for a diffusion problem are examined by means of numerical calculations. The exponent for the higher cumulants are found to be less than that of the first cumulant but larger than that of the second one. The calculations can be used for describing quantum particle diffusion in a random time-dependent potential, domain wall diffusion in a 2D magnet, etc.
Keywords:Quantum particle  random time-dependent potential  anomalous diffusion  scaling for highest cumulants
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