When do we use the Boltzmann equation for density in a Fermi plasma?
n in [cm-3]
and when do we use the ρ=m/V, ρ in [Kg/m3 ]
(this is not an example, I just added the equations to make my question more understandable)
Is the ideal gas only when we have electron and ions? Is the Boltzmann...
I was reading the derivation of boltzmann distribution using the reservoir model.
lets call the reservoir by index R and the tiny system by index A.
In the derivation they proposed that the probability for being at energy e (for A) is proportional to the number of states in reservoir. I didn't...
So I worked through the boltzmann distribution and got:
$$
P\propto e^{\frac{-E}{k_BT}}
$$
Where $E$ is the energy. So surely this means the kinetic energy (and therefore speed) of particles is distributed over a Boltzmann distribution. Or in equation:
$$
P\propto e^{\frac{-mv^2}{2k_BT}}
$$...
Hi.
If an ideal gas of ##N## particles is allowed to expand isothermically to double its initial volume, the entropy increase is
$$\Delta S=N\cdot k_B \cdot \log\left(\frac{V_f}{V_i}\right)=N\cdot k_B \cdot \log\left(\frac{2V}{V}\right)=N\cdot k_B \cdot \log\left(2\right)\enspace .$$
This can...
Homework Statement
A pore has three configurations with the energy levels shown. The pore is in thermal equilibrium with the surroundings at temperature T . Find the probabilities ##p_1##, ##p_2##, ##p_3## of being in each level. Each level has only one microstate associated with it.
Also...
1.
the problem goes like this :
The energy of interaction of a classical magnetic dipole with the magnetic field B is given by
E = −μ·B.
The sum over microstates becomes an integral over all directions of μ. The direction of μ
in three dimensions is given by the angles θ and φ of a spherical...
I'm interested in the derivation of relativistic boltzmann equation from entropy after reading Scott Dodelson's wonderful cosmology book. Does anyone know of any good readings for this?
The usual way of doing things in classical mechanics is to assume \frac{dN}{dt}= 0 and go from there; but...
So I have just been reading up on statistical thermodynamics and have no idea why the bose-einstein, fermi dirac and maxwell boltzman are all integers, that makes sense, but then when you make the degenerate correction to the maxwell boltzmann by dividing by N! we get decimal answers. Why is...
Hello!
Dr. David Tong, in his statistical physics notes, derives the boltzmann distribution in the following manner.
He considers a system (say A) in contact with a heat reservoir (say R) that is at a temperature T. He then writes that the number of microstates of the combined system (A and R)...
Homework Statement
Consider particles in a gas centrifuge. This device is used to separate gases of different molar mass by rotating a cylinder at high rates. Derive two equations: one for the pressure (P) and one for the particle number density (nv) as functions of M, r, w and T, where r is...
Does anyone have any suggestions for finding lists of all papers published by individual physicists?
Usually the Google machine turns up hits pretty quickly, but I've hit a brick wall looking for lists for Max Planck and Ludwig Boltzmann.
netlib.org/bibnet/ is amazing, but it's pretty narrow.