# Square shoulder model

(Redirected from Equations of state for the square shoulder model)

The **square shoulder model** is given by ^{[1]}

where is the intermolecular pair potential, is the height of the shoulder, is the distance between site 1 and site 2 , σ is the hard diameter and λ > 1.

## Direct correlation function[edit]

The direct correlation function ^{[2]}

## Equation of State[edit]

^{[3]}.

## Binary mixture[edit]

^{[4]}

## References[edit]

- ↑ J. M. Kincaid, G. Stell and E. Goldmark "Isostructural phase transitions due to core collapse. II. A three-dimensional model with a solid–solid critical point", Journal of Chemical Physics
**65**pp. 2172-2179 (1976) - ↑ I. Guillén-Escamilla, E. Schöll-Paschinger and R. Castañeda-Priego "A parametrisation of the direct correlation function for the square-shoulder fluid", Molecular Physics
**108**pp. 141-150 (2010) - ↑ Andreas Lang, Gerhard Kahl, Christos N Likos, Hartmut Löwen and Martin Watzlawek "Structure and thermodynamics of square-well and square-shoulder fluids", Journal of Physics: Condensed Matter
**11**pp. 10143-10161 (1999) - ↑ Gayatri Das, Nicoletta Gnan, Francesco Sciortino, and Emanuela Zaccarelli "Unveiling the complex glassy dynamics of square shoulder systems: Simulations and theory", Journal of Chemical Physics
**138**134501 (2013)

**Related reading**

- A. R. Denton and H Löwen "Isostructural solid - solid transitions in square-shoulder systems", Journal of Physics: Condensed Matter
**9**pp. L1-L5 (1997) - Peter Bolhuis and Daan Frenkel "Isostructural solid - solid transitions in systems with a repulsive `shoulder' potential", Journal of Physics: Condensed Matter
**9**pp. 381-387 (1997) - Gernot J. Pauschenwein and Gerhard Kahl "Zero temperature phase diagram of the square-shoulder system", Journal of Chemical Physics
**129**174107 (2008) - Shiqi Zhou and J. R. Solana "Inquiry into thermodynamic behavior of hard sphere plus repulsive barrier of finite height", Journal of Chemical Physics
**131**204503 (2009) - S. B. Yuste, A. Santos and M. López de Haro "Structure of the square-shoulder fluid", Molecular Physics
**109**pp. 987-995 (2011) - S. P. Hlushak, P. A. Hlushak, and A. Trokhymchuk "An improved first-order mean spherical approximation theory for the square-shoulder fluid", Journal of Chemical Physics
**138**164107 (2013) - M. López de Haro, S. B. Yuste and A. Santos "Theoretical approaches to the structural properties of the square-shoulder fluid", Molecular Physics
**114**pp. 2382-2390 (2016) - Harini Pattabhiraman and Marjolein Dijkstra "Phase behaviour of quasicrystal forming systems of core-corona particles", Journal of Chemical Physics
**146**114901 (2017)