  The broad incorporation of microscopic methods is yielding a wealth of
information on atomic and mesoscale dynamics of individual atoms, molecules,
and particles on surfaces and in open volumes. Analysis of such data
necessitates statistical frameworks to convert observed dynamic behaviors to
effective properties of materials. Here we develop a method for stochastic
reconstruction of effective acting potentials from observed trajectories. Using
the Silicon vacancy defect in graphene as a model, we develop a statistical
framework to reconstruct the free energy landscape from calculated atomic
displacements.

Mesoscale and Nanoscale Physics;Materials Science;Computational Physics