Planar dynamics of classical soft sphere particles interacting in piston systems.
The soft sphere particles interact with compactly supported potentials allowing for O(n*log(n)) collision detection.

In the non-autonomous system, the energy of the system is not constant and "Work done" from a piston is interpreted as the total increase in energy to the particles.

In the autonomous system, the energy of the entire system (including piston rod and particles) remains constant.

The piston systems are Hamiltonian and are simulated using high order explicit symplectic integrators. The simulations were performed and rendered in real time.

0:00 non-autonomous system with zero-momentum particles
0:30 autonomous system with piston balancing down- and upward forces
0:52 non-autonomous system with low energy particles

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