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Numerical Simulation of Anomalous Diffusion in Levy Random Walk Processes by Monte Carlo MethodBy Anita Sharma
Abstract: We have simulated the nonlinear behaviour of mean square displacement <r2>, with time based on Levy random walk model. By analysing different prospects, we came to the conclusion that, Levy random walk with continuous step length distribution gives rise to <r2> which behaves nonlinearly with time. This is only observable, when time average is taken and ensemble average does not lead to any nonlinearity. It also indicated the non-ergodic property …
Published in Research & Reviews : Journal of Physics · Vol. 10, Issue 2, 2021 · pp. 23–30 Read article →