Table 6 Errors of robust posterior predictions of RDF, density and diffusion coefficient using LJ 6–12 and LJ 6-\(p\). We denote \({S}_{1}=\{{L}_{4},{L}_{5}\}\) (all inferences produce the correct argon phase), \({S}_{2}=\{{L}_{3}-{L}_{5},V\}\) (\({B}_{p,Q}\) produces wrong phase), \({S}_{3}=\{{L}_{1}-{L}_{5},V\}\) (\({B}_{p,Q}\) and \(H{B}_{\mathrm{12,}R}\) produce wrong phase).

From: Data driven inference for the repulsive exponent of the Lennard-Jones potential in molecular dynamics simulations

 

Δ RDF

\({\boldsymbol{\Delta }}{\boldsymbol{\rho }}\)

\({\boldsymbol{\Delta }}{\boldsymbol{D}}\)

\({{\boldsymbol{S}}}_{{\bf{1}}}\)

\({{\boldsymbol{S}}}_{{\bf{2}}}\)

\({{\boldsymbol{S}}}_{{\bf{3}}}\)

\({{\boldsymbol{S}}}_{{\bf{1}}}\)

\({{\boldsymbol{S}}}_{{\bf{2}}}\)

\({{\boldsymbol{S}}}_{{\bf{3}}}\)

\({{\boldsymbol{S}}}_{{\bf{1}}}\)

\({{\boldsymbol{S}}}_{{\bf{2}}}\)

\({{\boldsymbol{S}}}_{{\bf{3}}}\)

\({B}_{p,Q}\)

0.087

0.118

0.136

\(H{B}_{\mathrm{12,}R}\)

0.071

0.050

0.029

0.108

0.009

1.573

\(H{B}_{p,R}\)

0.016

0.024

0.027

0.011

0.068

0.049

0.043

1.230

0.898