Law of equipartition considers all modes of kinetic energy and potential energy due to vibration. But what about the potential energy due to inter-molecular attraction? Equipartition says nothing about that. Then, how can we say that total internal energy for, say, mono-atomic gas is $\frac{3}{2}{nRT}$, when we haven't considered the potential energy due to molecular attraction?
@ShuklaSannidhya I think we only look at the parameters that can contain changing energy
Wait no
Not sure
Ah, that is encoded in the vibration term. Equipartition is usually for oscillators, and the intramolecular attraction provides oscilaltors for us to analyse. So we analyse them
@ShuklaSannidhya I have a blog post that might be of interest on that issue
In this case, I think the intermolecular potential is nearly independent of particle position for a gas (except when two particles get close to each other) so you can treat it as negligible. But technically, yes, it would have an effect.
In other news, I'm wondering if we should have a banner about safety issues
@DavidZ A banner saying something along the lines of "We're not safety professionals, so please take every precaution suggested with a large grain of salt"?
Hey can someone explain to me a situation where I could use spherical coordinates to calculate an electric field that isn't along a cartesian axis?
I mean, most of the time I've seen E-field problems they reduce to something along, say, the z axis due to symmetry, but that makes the spherical coordinates to just have a cos(theta) or something, and reduce...
In Cartesian coordinates you can calculate E-fields by integrating component wise, like from a semi infinite wire- you can take the x and z coordinates separately.
But in Spherical coordinates, I feel like all they are ever good for is, when presented with large symmetries, like rings of charge, eliminating the symmetric parts.
Is there a case where you can take something like a cube, or something asymmetric, and calculate the field using spherical, not cartesian?
A charge distribution with one positive charge and one negative charge of equal magnitude, the same distance away from the origin in opposite directions
Can you give me an example where we can calculate an efield in spherical coordinates, but where it isn't a matter of "recognizing symmetries" to get rid of theta/phi dependencies?
Like for a wire extending from 0 to infinity, we can calculate the field of that in cartesian, how can we do that in spherical?
@KyleKanos So Hotspot analysis is pretty awesome, but I am playing with the hardware stuff now and it gives me a different set of hotspots
But I don't know what to do with the results now because it is telling me that _int_malloc and malloc_consolidate are the chokepoints in my code, both are in libc