May be a relevent read:
Leo Rausér's answer to Why exactly is it scientifically impossible to lift someone up by the neck? How strong do you have to be to do so? - Quora
Let us say that we have a dispersion relation curve and associated instability curve as shown below for a magnetised plasma, which have been formulated through kinetic theory. The frequencies and growth rate have been normalized w.r.t. cyclotron frequency of proton.
My question is: what does...
In plasma physics we have what is known as plasma dispersion function. There are two approximation under which this function can be expanded: when the argument is less than 1, we can use power series expansion and when the argument is greater than 1 we can have asymptotic expression.
My...
OMG :nb). Ya, that's correct.
But, if P and V is a function of x, then ??? Infact i did that calculation keeping this in mind that P and V is a function of x.
I have to do a integration which goes like this:
(V-M)(dP/dx)+3P(dV/dx)=0, (where M,P and V are constants).
If you integrate with dx, you will get:
∫[(V-M)dP]+∫[3PdV]=0.
which ultimately results in the answer M=4V.
Now, i can put the first equation in this form also...
hello...
i was using physics forum 1 year ago and i used to post some questions and some answers also. Now i would like to have a look on those older stuffs. But, i searched, in vain, extensively in PF. Can anyone guide me through this???
Thanks in advance...
Okay. i am trying to derive a dispersion relation in magnetized plasma with kinetic approach. By the by i am taking only two terms, just forget about the last term in the above equation. We will encounter a term##I=
\int_0^\infty cos(\phi-\phi')e^{g_1(\phi')}\,d\phi'\\## where ##g_1(\phi')= i...
After some integration, i am getting a form e^{i \alpha\phi+i\beta\phi\sin(\phi-\phi')-i\gamma\sin\phi} , where ##\alpha, \beta, \gamma## are constants. Now i want to apply the limit where ##\phi ## ranges from 0 to ##\infty ## (ya, in the argument of sine we will encounter ##\infty ## which is...