Memory-induced anomalous dynamics: emergence of diffusion, subdiffusion, and superdiffusion from a single random walk model - Mathematical PhysicsReport as inadecuate




Memory-induced anomalous dynamics: emergence of diffusion, subdiffusion, and superdiffusion from a single random walk model - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We present a random walk model that exhibits asymptotic subdiffusive,diffusive, and superdiffusive behavior in different parameter regimes. Thisappears to be the first instance of a single random walk model leading to allthree forms of behavior by simply changing parameter values. Furthermore, themodel offers the great advantage of analytic tractability. Our model isnon-Markovian in that the next jump of the walker is probabilisticallydetermined by the history of past jumps. It also has elements of intermittencyin that one possibility at each step is that the walker does not move at all.This rich encompassing scenario arising from a single model provides usefulinsights into the source of different types of asymptotic behavior.



Author: Niraj Kumar, Upendra Harbola, Katja Lindenberg

Source: https://arxiv.org/







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