A Hall current arises when electric currents transverse to a magnetic field exist. In this figure (found online), the Faraday current appears to be going upwards due to a magnetic field pointing into the page, but is this correct?
I'm largely just trying to understand the origin of the Hall...
I agree, the pressure should be constant on the interface and thus continuous. My only reason to question this was based on the paper stating the speed of sound is constant on either side of the interface. But if density is constant on either side of the interface, this would imply pressure is...
I am trying to decipher if an error occurred in a calculation given in this paper.
It is understandable that if two compressible fluids of different uniform densities have a common interface (e.g. Figure 1), then to be in equilibrium and supported against gravity, there must be a pressure...
For a relativistic fluid, the equation of state is given by:
$$\rho = \rho_0 + 3p/c^2 $$
The above expression is nicely derived in Weinberg (1972). Although I was told that for a compressible fluid that is relativistically hot (i.e. ##p \gg \rho_0 c^2)## under a constant acceleration, ##g##...
I was reading the paper entitled "The Rayleigh—Taylor instability in astrophysical fluids" by Allen & Hughes (1984), and they discuss relativistically hot plasmas in the context of weak magnetic fields which are presumed to have no dynamic influence, so they take a fluid approach. In this paper...
Given the following expressions:
and that ## \bf{B}_s = \nabla \times \bf{A}_s ##
how does one solve for the following expressions given in (12) and (13)?
I've attempted doing so and derive the following expressions (where the hat indicates a unit vector):
## bV = \bf{ \hat{V}} \cdot...
In the following wiki article for Beltrami flows, it is stated that the nonlinear terms are identically zero. I can easily prove the terms are equivalent and thus cancel one another, to yield the linear equation. But after a bit of algebra, I don't see why the terms are zero themselves? Why...
Ahh well this is a very basic question so my apologies. I've gone through multiple different derivations of this phenomenon (e.g. via Laplace transform or strictly laborious algebra), and it appears in multiple places but I've mainly read through notes for MIT OCW 22.611 (the graduate intro...
I've been told Landau damping was a surprising phenomenon that many people didn't believe possible when first introduced since it permit wave damping in the absence of collisions. I appear to be missing something fairly basic and fundamental to this picture, but aren't all wave-particle...
I've taken standard QMI and QMII and a graduate QM course for selected topics (e.g. entanglement, identical particles, classical to quantized EM fields, perturbation techniques), but haven't yet studied group theory, Feynman diagrams, or delved into QCD.
Well that's fascinating. It seems like fairly standard QFT, but do you have any particular resources/texts you would suggest for this topic (and perhaps QFT more generally)?
Fair enough, and that's very cool. I suppose the concept is still a bit unformed in my head. Maybe more examples will help:
If one could hypothetically construct a particle that has all of the same properties as a positron (e.g. charge, lepton number) except for mass, would it still be able to...
Ahh yes, here's a different example although perhaps more in line with my original question:
When discussing matter-antimatter pairs, the energy released by the annihilation event is proportional to the mass. But what permits this between antimatter-matter pairs? Why is this not ordinarily...
Different forces (e.g. electromagnetism, colour) are mediated via different force-carrying particles (e.g. photon, gluon). When converting from one form of energy to another, what force-carrying particles are involved in converting acceleration (or more generally a change in kinetic energy) of...
I care about this integral as that is what is presented in the notes I attached above in equation (5.208). In the notes, they do not apply Laplace transforms until afterwards. This is why I think it is as simple as doing the math in a vacuum. Although I now see that in the notes that this...