Russo-Tartaglia-Sciortino model

The Russo-Tartaglia-Sciortino model is given by (Eqs. 1-3):

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi _{12}=\left({\frac {1}{r_{12}}}\right)^{m}-\sum _{i=1}^{M_{1}}\sum _{j=1}^{M_{2}}\epsilon \exp \left[-{\frac {1}{2}}\left({\frac {r_{12}^{ij}}{\alpha }}\right)^{n}\right]}

where $r_{12}$ is the distance between the centre of mass of particles 1 and 2, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r^{ij}_{12}} is the distance between patches Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i} and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j} on different particles, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M_1} and $M_{2}$ are the number of patches of particles 1 and 2 respectively.

References

Related reading

• C. E. Bertrand and Y. Liu "Molecular dynamics of a model dimerizing fluid", Journal of Chemical Physics 142 044503 (2015)