Harnessing fluctuations to discover dissipative evolution equations

Supplementary information

Xiaoguai Li, Nicolas Dirr, Peter Embacher, Johannes Zimmer, Celia Reina

This is the supplementary information for the arXiv manuscript  1805.05788.

Movie 1, associated with Fig. 4 (left): Comparison between the particle-based solution using the conservation constraint (blue) and the analytic solution (orange), for a symmetric initial profile with periodic boundary conditions.

Movie 2, associated with Fig. 4 (right): Comparison between the particle-based solution using the conservation constraint (blue) and the analytic solution (orange), for a symmetric initial profile with periodic boundary conditions.

Movie 3, associated with Fig. A1 (journal version; this is Fig. 5 in the arXiv version) (left): Comparison between the particle-based solution (blue) and the analytic solution (orange), not imposing mass conservation on the discretized operator, for a symmetric initial profile with periodic boundary conditions.

Movie 4, associated with Fig. A1 (journal version; this is Fig. 5 in the arXiv version) (right): Comparison between the particle-based solution (blue) and the analytic solution (orange), not imposing mass conservation on the discretized operator, for a non-symmetric initial profile with Dirichlet boundary conditions.

 

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