Particle accleration under gravity waves?

Oct 2016
8
2
I have been through following papers for research:

1)http://cdsads.u-strasbg.fr/cgi-bin/nph-iarticle_query?1990ApJ...362..584M&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf

2)https://arxiv.org/pdf/gr-qc/9905054.pdf

Conclusion of the second paper given above states the following:

"
In this case the
external action (the gravitational wave) amounts to a time variation of the frequency
parameter of the initial system (charged particles in a magnetic field), so that in the
overall system the equilibrium at rest (x
1 = 0) is unstable. Any deviation from this
state, however small, is sufficient to lead to a rapidly increasing displacement along
the peprendicular direction (Landau and Lifshitz 1976). Further analysis shows that,
in any of the above propagation cases, the overall result would be an exponential
increase of the perpendicular energy of the particles involved in this interaction, as a
function of the affine parameter and, hence, of their proper-time as well.
"

From the conclusion I can understand that gravitational blueshift may be the reason for increasing frequency but what could be the reason for perpendicular displacement of particles and exponential increase in perpendicular energy?
 
Last edited:

topsquark

Forum Staff
Apr 2008
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On the dance floor, baby!
I have been through following papers for research:

1)http://cdsads.u-stra...8;filetype=.pdf

2)https://arxiv.org/pd...-qc/9905054.pdf

Conclusion of the second paper given above states the following:

"
In this case the
external action (the gravitational wave) amounts to a time variation of the frequency
parameter of the initial system (charged particles in a magnetic field), so that in the
overall system the equilibrium at rest (x
1 = 0) is unstable. Any deviation from this
state, however small, is sufficient to lead to a rapidly increasing displacement along
the peprendicular direction (Landau and Lifshitz 1976). Further analysis shows that,
in any of the above propagation cases, the overall result would be an exponential
increase of the perpendicular energy of the particles involved in this interaction, as a
function of the affine parameter and, hence, of their proper-time as well.
"

From the conclusion I can understand that gravitational blueshift may be the reason for increasing frequency but what could be the reason for perpendicular displacement of particles and exponential increase in perpendicular energy?
Neither of the links are working.

Before we continue I would like you to define the term "perpendicular energy." Do you "perpendicular energy flux?" That's the energy flux that comes from, for example, radiation loss in a synchrotron due to charged particles moving in a curved path.

-Dan
 
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Oct 2016
8
2
Neither of the links are working.

Before we continue I would like you to define the term "perpendicular energy." Do you "perpendicular energy flux?" That's the energy flux that comes from, for example, radiation loss in a synchrotron due to charged particles moving in a curved path.

-Dan
Please see I have updated the links

and just in case:

1)http://cdsads.u-strasbg.fr/cgi-bin/nph-iarticle_query?1990ApJ...362..584M&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf

2)https://arxiv.org/pdf/gr-qc/9905054.pdf
 

topsquark

Forum Staff
Apr 2008
2,944
619
On the dance floor, baby!
FYI: I'm not ignoring you, just reading through the articles....

-Dan
 

topsquark

Forum Staff
Apr 2008
2,944
619
On the dance floor, baby!
I'm afraid I'm going to have to ask you to either really be patient or try to find another source. It's just too much to absorb in a short time. If you like I can keep working at it but it'd probably be faster to find someone else.

I don't often have a lot of good to say about them but I'd recommend PhysicsForums.com. There are several annoying people working there but I have no problem with the the overall ability of the members.

-Dan
 
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Oct 2016
8
2
I'm afraid I'm going to have to ask you to either really be patient or try to find another source. It's just too much to absorb in a short time. If you like I can keep working at it but it'd probably be faster to find someone else.

I don't often have a lot of good to say about them but I'd recommend PhysicsForums.com. There are several annoying people working there but I have no problem with the the overall ability of the members.

-Dan
Although its a little difficult to get straight answer from them I will give it a try.
I appreciate your help.
 
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topsquark

Forum Staff
Apr 2008
2,944
619
On the dance floor, baby!
Although its a little difficult to get straight answer from them I will give it a try.
I appreciate your help.
Aside from some arrogant personalities that's the same problem I have with them. I sympathize.

-Dan
 
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Reactions: 1 person