Hrm,
So your saying that, as there are a large number of degeneracies in white dwarfs, due to the pauli exclusion principle each electron is somewhat stuck in it's state as neighbouring levels are occupied, so the electrons are essentially at rest? So the mean kinetic energy is zero and hence...
Hello,
I have read several articles/websites which talk about modelling white dwarfs,
In all of these papers they state that it can be assumed the electrons have temperature zero, i.e.
T<<T_fermi.
I haven't been able to find a solid explanation of why this is approximation is possible...
The way I've been doing this is consistent with how I did the first question, multiplying the probability that one particle is in the ground state by the probability the other is in the ground state. I'm not sure what you mean by "two different Z's", the two Z's are the same, (1/Z)(1/Z) = 1/Z^2...
In the fermion case, the state doesn't exist..
Is that what you mean? The probability is zero for that reason.
So it's simply P = 0, as the state does not exist using fermi statistics.
For bosons though it does exist, and it is when both atoms are at E=0, which means that the the...
Thanks for your reply,
Oh,
So it should be
For both particles in the ground state
Fermi:
P =(1/Z)
When T->0 this probability should be zero right?
But when you actually take the limit as T->0 , i.e. β->infinity, you'll see that P tends to infinity, not zero.
That's why I'm a bit...
Homework Statement
If you have a three energy level system, with energies 0, A, B where B>A, which consists of only two particles what is the probability that 1 of the particles is in the ground state? What about if two of them are in the ground state? Do this using both fermi and boson...
Hey,
I have been put in the position in which I have required to write a formal 'critique' of a physics related journal article. The catch is that I am limited to more basic theories as the people who will be reading the critique are from the facaulty of arts, which blew all of my ideas out...
sorry I am pretty sure i can't use this result in answering the question,
p = p0e^(-Cx/T_0)
I think maybe you may have mixed up p the pressure and P(x) the distribution, which is what i was trying to find
what i have been looking for was this
<U> = (int_{-∞,∞} int_{0,10} dp dx U e^(-β...
Sorry, i should have also noted that the question states "don't base your solution from already known knowledge of the conditions of the Earth's atmosphere."
I have going with this distribution function so far..
but it was derived using p^2 = 2mE, which is the kinetic energy..
To answer...
Homework Statement
Say you have a large column of gas with insulating walls standing on the Earth's surface, which is L high and at room temperature (25degC) at the interface of the surface and column. Assuming the potential energy on the gas is only duel to gravity, U = mgx where x is the...
thanks for your replies!
ok sorry, i thought i could leave it general,
the formula i have given is the boundary value term of the general solution to the heat equation,
there a 3 terms, one associated with the driving function, one associated to initial conditions and one associated with...
Homework Statement
hi I am trying to adjust this general integral to my problem,
my problem consists of a semi-infinite rod, i.e. x in [0,∞)
the primed variables are the integration variables
Homework Equations
http://img339.imageshack.us/img339/5038/42247711.jpg
The Attempt at a...
with that approach you get a cos term aswell, that's one of the main problems I've been having,
what your saying is to say the constant associated with that cos will be zero,
then i guess it would work, but you'd have to add Q_0 to the solution,
is there a way to solve the problem with...