Hard spheres potential¶
Hard spheres are widely used as model particles in the statistical mechanical theory, defined as impenetrable spheres that cannot overlap in space, which mimics extremely strong repulsion that atoms and molecules experience at very close distances.
Conditions:
Spheres are identical.
Links:
- potential¶
Potential energy of the configuration.
- Symbol:
U
- distance¶
Distance between the centers of the particles.
- Symbol:
r
- sphere_diameter¶
Diameter of the spheres.
- Symbol:
sigma- Latex:
\(\sigma\)
- law¶
U = Piecewise((Infinity, r <= sigma), (0, r > sigma))- Latex:
- \[\begin{split}U = \begin{cases} \infty & r \le \sigma \\ 0 & r > \sigma \end{cases}\end{split}\]