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Tiny language adjustments
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ddahlbom committed Jul 26, 2023
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## Estimating stucture factors with classical dynamics

The basic approach to estimating structure factor information using classical
dynamics relies on the generation of spin-spin correlation data from dynamical
trajectories. This is fundamentally a Monte Carlo calculation, as the
trajectories must be started from an initial spin configuration that is sampled
from thermal equilibrium. (Note that it is not possible to estimate a true T=0
dynamical structure factor using this approach, but the temperature may be very
small.) Samples are accumulated into a `SampledCorrelations`, from which
intensity information may be extracted. The user does not typically build their
own `SampledCorrelations`, but instead initializes one using either
`dynamical_correlations` or `instant_correlations`, as described below.
Classical dynamics may be used to estimate structure factor data by analyzing
the spin-spin correlations of dynamical trajectories. This is fundamentally a
Monte Carlo approach, as the trajectories must be started from an initial spin
configuration that is sampled at thermal equilibrium. (Note that it is not
possible to estimate a true T=0 dynamical structure factor using this method,
but the temperature may be very low.) Samples are accumulated into a
`SampledCorrelations`, from which intensity information may be extracted. The
user does not typically build their own `SampledCorrelations` but instead
initializes one by calling either `dynamical_correlations` or
`instant_correlations`, as described below.

### Estimating a dynamical structure factor: ``𝒮(𝐪,ω)``

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