# Gaussian overlap model

The **Gaussian overlap model** was developed by Bruce J. Berne and Philip Pechukas ^{[1]} and is given by Eq. 3 in the aforementioned reference:

where , is the intermolecular pair potential, and are angle dependent strength and range parameters, and is a unit vector. Not long after the introduction of the Gaussian overlap model Stillinger ^{[2]} proposed a stripped-down version of the model, known as the **Gaussian core model**. For a Soft cluster crystal phase has been observed. For Note that as
this potential becomes the penetrable sphere model.

## Equation of state[edit]

^{[3]}

## Virial coefficients[edit]

^{[4]}

## Phase diagram[edit]

The phase diagram of the Gaussian-core model has been calculated by Prestipino et al.^{[5]} while the solid-liquid phase equilibria has been calculated by Mausbach et al ^{[6]} using the GWTS algorithm.

## Shear viscosity[edit]

^{[7]}

## Isotropic-nematic phase transition[edit]

^{[8]}.

## References[edit]

- ↑ Bruce J. Berne and Philip Pechukas "Gaussian Model Potentials for Molecular Interactions" Journal of Chemical Physics
**56**pp. 4213-4216 (1972) - ↑ Frank H. Stillinger "Phase transitions in the Gaussian core system", Journal of Chemical Physics
**65**pp. 3968-3974 (1976) - ↑ Enrique de Miguel and Elvira Martín del Río "Equation of state for hard Gaussian overlap fluids", Journal of Chemical Physics
**118**pp. 1852-1858 (2003) - ↑ Ssu-Li Huang and Venkat R. Bhethanabotla "Virial coefficients for the hard Gaussian overlap model", International Journal of Modern Physics C
**10**pp. 361-374 (1999) - ↑ Santi Prestipino, Franz Saija, and Paolo V. Giaquinta "Phase diagram of the Gaussian-core model", Physical Review E
**71**050102 (2005) - ↑ Peter Mausbach, Alauddin Ahmed, and Richard J. Sadus "Solid-liquid phase equilibria of the Gaussian core model fluid", Journal of Chemical Physics
**131**184507 (2009) - ↑ Alauddin Ahmed, Peter Mausbach, and Richard J. Sadus "Strain-rate dependent shear viscosity of the Gaussian core model fluid", Journal of Chemical Physics
**131**224511 (2009) - ↑ G. Rickayzen and D. M. Heyes "Isotropic-nematic phase transition of uniaxial variable softness prolate and oblate ellipsoids", Journal of Chemical Physics 146, 164505 (2017)

**Related reading**

- P. A. Monson and K. E. Gubbins "Equilibrium properties of the Gaussian overlap fluid. Monte Carlo simulation and thermodynamic perturbation theory" Journal of Physical Chemistry
**87**pp. 2852-2858 (1983) - Tomas Boublik "The gaussian overlap model again", Molecular Physics
**67**pp. 1327-1336 (1989) - Lindsey Ann Shall and S. A. Egorov "Structural and dynamical anomalies of a Gaussian core fluid: A mode-coupling theory study", Journal of Chemical Physics
**132**184504 (2010) - Peter Mausbach and Richard J. Sadus "Thermodynamic properties in the molecular dynamics ensemble applied to the Gaussian core model fluid", Journal of Chemical Physics
**134**114515 (2011) - Atsushi Ikeda and Kunimasa Miyazaki "Thermodynamic and structural properties of the high density Gaussian core model", Journal of Chemical Physics
**135**024901 (2011) - Atsushi Ikeda and Kunimasa Miyazaki "Slow dynamics of the high density Gaussian core model", Journal of Chemical Physics
**135**054901 (2011) - Manoj Kumar Nandi and Sarika Maitra Bhattacharyya "Analysis of the anomalous mean-field like properties of Gaussian core model in terms of entropy", Journal of Chemical Physics
**148**034504 (2018)