softmatter:Hard Sphere Potential

From NSDL Materials Digital Library Wiki

Jump to: navigation, search

The hard sphere potential accounts for excluded volume interactions only. The potential is infinite if particles overlap and zero otherwise. Such potentials are not numerically integrateable and cannot be used in Molecular Dynamics Simulation (MD), Brownian Dynamics Simulation (BD), or Dissipative Particle Dynamics Simulation (DPD). Hard sphere potentials are typically used in Monte Carlo Simulation (MC) methods or in event-based, collision dynamics methods (also called discontinuous MD).


U_{HS}(r) = \begin{cases}
\infty,&r<\sigma\\
0, & r \geq \sigma
\end{cases}

Personal tools

Kent State University NIST MIT University of Michigan Purdue Iowa State University