Rayleigh dissipation function
In physics, the Rayleigh dissipation function, named for Lord Rayleigh, is a function used to handle the effects of velocity-proportional frictional forces in Lagrangian mechanics. It is defined for a system of particles as
The force of friction is negative the velocity gradient of the dissipation function, . The function is half the rate at which energy is being dissipated by the system through friction.
- Goldstein, Herbert (1980). Classical Mechanics (2nd ed.). Reading, MA: Addison-Wesley. p. 24. ISBN 0-201-02918-9.
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