GR 8677927796770177 | # Login | Register

GR0177 #49
Problem
 GREPhysics.NET Official Solution Alternate Solutions
This problem is still being typed.
Statistical Mechanics$\Rightarrow$}Partition Functions

The partition function is given by the formula $Z=\sum_i g_i e^{-\epsilon_i/kT}$, where $g_i$ enotes the degeneracy of the ith state.

Plug in the given information into the formula to get choice (E).

Alternate Solutions
 There are no Alternate Solutions for this problem. Be the first to post one!
duckduck_85
2008-10-30 22:44:09
I think it might be important to note that ETS is using the term "Maxwell-Boltzmann distribution" indistinctively from "Canonical Distribution" in this problem. Even though they do have the same mathematical form, i think it might be more appropriate to refer to this system as a system following a canonical distribution.
 thatoneguy2011-11-08 05:46:49 Old comment, but I don't think that's necessarily true. The Canonical Distribution doesn't have degeneracies. IIRC, it's of the form Z = $\sum_{i}$ $\e^{\frac{-\epsilon_{i}}{kT}$ . In particular, the distribution for an MB system can have degeneracies, unlike those systems which follow Fermi-Dirac statistics (which still follow the Canonical Distribution function. I believe they are using "Maxwell-Boltzmann Distribution" distinctively in this case.
 4elesta2012-04-15 15:23:49 Please, can someone explain, why it's said that distribution is Maxwellian? thanks)
 ETScustomer2017-10-10 18:53:57 Maxwell also did great thermal work.

LaTeX syntax supported through dollar sign wrappers $, ex.,$\alpha^2_0$produces $\alpha^2_0$. type this... to get...$\int_0^\infty$$\int_0^\infty$$\partial$$\partial$$\Rightarrow$$\Rightarrow$$\ddot{x},\dot{x}$$\ddot{x},\dot{x}$$\sqrt{z}$$\sqrt{z}$$\langle my \rangle$$\langle my \rangle$$\left( abacadabra \right)_{me}$$\left( abacadabra \right)_{me}$$\vec{E}$$\vec{E}$$\frac{a}{b}\$ $\frac{a}{b}$