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I am familiar with euler-lagrange equations which can be used to simulate a mechanical system, something like an inverted pendulum on a cart. How can I simulate a volume of deuterium and tritium with muons getting injected?

In the example with the inverted pendulum, what gets simulated is how certain variables change with time, like the position of the cart and the angle of the pendulum. What is the equivalent when simulating nuclear fusion?

What are the steps required to setup the "equations of motion" for nuclear fusion?

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