Harmonic repulsion potential

The Harmonic repulsion potential, designed for studies of polymer micelles, dendrimers, and colloidal particles, is given by ( Eq. 2):

$\Phi _{12}\left(r\right)=\left\{{\begin{array}{lll}{\frac {\epsilon }{2}}(1-r/\sigma )^{2}&;&r<\sigma \\0&;&r\geq \sigma \end{array}}\right.$

where $\Phi _{12}\left(r\right)$ is the intermolecular pair potential, $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$ is the distance between site 1 and site 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 \sigma} represents a length scale 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 \epsilon} an energy. For example, for 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 \epsilon=20} the potential looks like

Phase diagram

The phase diagram in the pressure-temperature plane has been calculated by Zhu and Lu .

See also

• Hertzian sphere model

References

Related reading

• V. A. Levashov "Crystalline structures of particles interacting through the harmonic-repulsive pair potential", Journal of Chemical Physics 147 114503 (2017)