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Power-law exponents in the convergence to effective ergodicity is quantifiedfor Ising-Lenz model in one dimension. Modified Thirumalai-Mountain (TM) metricfor magnetisation is computed for the range of temperature values understrongly correlated dynamics. In producing evolution of TM metric over time,time-averaged dynamics is generated by using Metropolis and Glaubersingle-spin-flip dynamics, and ensemble-averaged dynamics with an exactsolution. Superdiffusive behaviour is numerically identified in the parameterregimes studied, i.e., power-law exponents, $\alpha > 1.0$.

Anomalous diffusion in convergence to effective ergodicity