The range and nature of effective interactions in hard-sphere solids

The range and nature of effective interactions in hard-sphere solids
Michael Schindler and A. C. Maggs
Soft Matter 12 (2016) 2612

Abstract :
Colloidal systems observed in video microscopy are often analysed
using the displacements correlation matrix of particle positions.
In non-thermal systems, the inverse of this matrix can be
interpreted as a pair-interaction potential between particles. If
the system is thermally agitated, however, only an effective
interaction is accessible from the correlation matrix. We show how
this effective interaction differs from the non-thermal case by
comparing with high-statistics numerical data from hard-sphere
crystals.

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