A Radiation Friction: Solving Abraham-Lorentz Eq for Non-Physical Solutions

AI Thread Summary
The discussion centers on the Abraham-Lorentz equation, which describes radiative friction for a particle in an electromagnetic field. The user encounters non-physical, runaway solutions when solving the equation numerically, despite expecting a spiral motion with decay due to radiation force. There is uncertainty about the derivation's applicability, particularly regarding its validity for non-periodic functions. The user suggests that the equation's derivation is tailored for periodic motion, which may explain the unexpected results. The conversation highlights the complexities of applying the Abraham-Lorentz equation to different motion types.
gennryAlbius
Messages
1
Reaction score
0
There is a well-known Abraham-Lorentz equation describing radiative friction. Suppose a particle moves in an electromagnetic field.
ma(t)=q(E+vxB) + m(tau)a’(t)

By solving this equation numerically, I get non-physical solutions(runaway solutions) Although, it would seem that an electron in an electromagnetic field should move in a spiral, and due to the presence of a radiation force, its movement should decay (I should get such a result). What am I doing wrong?
 
Physics news on Phys.org
I am not completely certain, but I believe that if you look at the derivation you will see that it is specifically for periodic motion. I believe that for certain non-periodic functions the runaway and non-causal solutions are known
 
Thread 'Is there a white hole inside every black hole?'
This is what I am thinking. How much feasible is it? There is a white hole inside every black hole The white hole spits mass/energy out continuously The mass/energy that is spit out of a white hole drops back into it eventually. This is because of extreme space time curvature around the white hole Ironically this extreme space time curvature of the space around a white hole is caused by the huge mass/energy packed in the white hole Because of continuously spitting mass/energy which keeps...
Why do two separately floating objects in a liquid "attract" each other ?? What if gravity is an emergent property like surface tension ? What if they both are essentially trying to *minimize disorder at the interfaces — where non-aligned polarized particles are forced to mix with each other* What if gravity is an emergent property that is trying to optimize the entropy emerging out of spin aligned quantum bits
Back
Top