1D Force Field
Interactive simulation — adjust parameters and watch the visualization update in real time.
Live graphs
How it works
One-dimensional conservative dynamics from a potential U(x). The force is F = −dU/dx, so total energy E = ½mv² + U(x) is conserved (up to small numerical drift). A harmonic well gives elliptical phase orbits; a double well allows periodic motion in one basin or more complex trajectories with enough energy.
Key equations
F = −dU/dx · mẍ = F
E = ½mv² + U(x) · double well: U ∝ x⁴/4 − x²/2