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ElasticDiffRotDiscreteCircle.rst

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ElasticDiffRotDiscreteCircle

.. index:: ElasticDiffRotDiscreteCircle

Description

Summary

This fitting function models the elastic part of the dynamics structure factor of a particle undergoing discrete jumps on N-sites evenly distributed in a circle. The particle can only jump to neighboring sites. This is the most common type of discrete rotational diffusion in a circle.

S(Q,E) \equiv = \int e^{-iEt/\hbar} I(Q,t) dt = A_0(Q,r) \delta (E)
A_0(Q,r) = \frac{1}{N} \sum_{k=1}^{N} j_0( 2 Q r sin(\frac{\pi k}{N}) )

This function makes up the elastic part of :ref:`DiffRotDiscreteCircle <func-DiffRotDiscreteCircle>`.

.. attributes::

N (integer, default=3) number of sites - Q (double, default=0.5) Momentum transfer

.. properties::

.. categories::

.. sourcelink::