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created: 2022-07-10 15:45:38
modified: 2022-07-10 16:04:12
A stable equilibrium is an equilibrium point where the second derivative of the potential energy is positive
In multiple dimensions, this changes to
being positive for all constant vectors
The above expressions express that, for a particle being in a stable equilibrium point, for small deviations, the force acting on the particle pushes it back towards the equilibrium point.