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.. index:: Tutorials; time_convergence
Time convergence
****************
Here, a short demonstration on how time-correlation typically converges with total simulation time is provided for FCC Al at :math:`T =` 300 K. To get a converged correlation function, e.g. in order to extract a phonon lifetime, one require on the order 100-1000 times longer simulation than the lifetime itself. Rather than running a single long MD simulation one can also many shorter simulations and average their correlation functions.
In the figure below, the decay time of the correlation function is about 1-2 ps. The :math:`C_L(q, t)` is pretty well-converged after 200 ps and very well converged after 2000 ps.
.. figure:: figs/Al_solid_acf_convergence.svg
:scale: 100 %
:align: center
Current correlation :math:`C_L(q, t)` for simulations of varying lengths.
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