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 $N$ particles as

The force of friction is negative the velocity gradient of the dissipation function, $\bold{F}_f = -\nabla_\bold{v} F$ . The function is half the rate at which energy is being dissipated by the system through friction.

单词	Viscous dissipation function
释义	Viscous dissipation function 英语百科 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 $N$ particles as The force of friction is negative the velocity gradient of the dissipation function, $\bold{F}_f = -\nabla_\bold{v} F$ . The function is half the rate at which energy is being dissipated by the system through friction.
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Viscous dissipation function

Rayleigh dissipation function