Recent content by anony

Hi, I always seem to have a problem with my indices... \Lambda^{\mu}_{\;\;\nu}\Lambda_{\bar{\nu}}^{\;\;\mu}= \frac{\partial x'^{\nu}}{\partial x^{\mu}} \frac{\partial x_{\bar{\nu}}'}{\partial x_{\mu}} Now, the first term I'm relatively sure is right (first lambad corresponds to first of the...

You're right. Sorry. I don't know what I did with that quintic, I was very tired at the time and appear to have lost my scrap work! Apparently, there are 3 fixed points. I suspect these are real fixed points. We have found 2 real ones, and 3 imaginary non physical ones. I'm also supposed to...

You shouldn't be getting a quartic :) You should be getting a power y^5, and the roots are 0 and 1. Factor these out and you're left with a cubic. Your y = 0 fixed point corresponds to K=0, and y=1 corresponds to K=infinity. And that random theorem implies there is a route a real route between 0...

Hurrah! Thank you! I'm afraid there is more though :P I carried on (skipped that part earlier). It then asks me to set y = tanh(x) and show that there are 3 fixed points. There is clearly one at K=0 and one at K=infinity. I'm not sure about the 3rd though. It mentions that I don't have...

Hi there, thanks for the reply. I've just been trying to latex up what I've done: Z_{N} & = \sum_{\{S\}} \exp(\sum_{<ij>}KS_{i}S_{j} + \sum_{i}K_{0}) \\ & = \sum_{S} \sum_{S'} \left( e^{2K_{0}} \sum_{S_{1}} \exp(K S S_{1}) \exp(K S_{1} S') \right) \left( e^{2K_{0}}\sum_{S_{2}} \exp(K S'...

Hi guys, I'm working through past papers and I have a problem with deriving the renormalised scaling of the following: [PLAIN]http://dl.dropbox.com/u/16658950/helpme.JPG I'm doing the rescaling as I would for a 1D ising model decimated with l = 2 (so every other spin, but N=4 in this...

Hi guys, Basically I'm working through Jan Smit's book, http://books.google.com/books?id=pFgUFfG7JygC&printsec=frontcover&dq=introduction+to+quantum+fields+on+a+lattice&hl=en&src=bmrr&ei=mabWTOjtMoK4hAfh0eGGBQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CDIQ6AEwAA#v=onepage&q&f=false , and I'm...

Yes, N is the number of molecules in the problem. But we are not told how many molecules there are in a set amount of water volume. So I took 1kg to occupy 1 litre (I think that's right). I then took 1 kg / mass of the molecules to find the number of molecules in 1kg, and then (V/N)^(1/3) to...

For the interparticle spacing I get 3.1 x 10^-10 m. Maybe you confused my metres units and mass m label in my original post, ill touch it up a little bit now. So, what's the crack? Where's the mistake? This was the route my lecturer went down, he just didn't plug in numbers and didn't say...

I'm getting 3.438 x 10^-11 when plugging those numbers into my calculate (for wavelength). EDIT: evidently I am screwing something up putting the numbers in my calculater :| EDIT2: no I am not... you put it in your calculator wrong :) missed the square root maybe?

Homework Statement Explain why molecules in water at room temperature behave like classical particles. Homework Equations E = \frac{3}{2}kT = \frac{p^{2}}{2m} p = \frac{h}{p} \lambda = \frac{h}{\sqrt{3mkT}} for room temp, T = 300K. m is mass of water molecule k is boltzmanns...

Hello, I have the thermodynamic potential dG = -SdT + VdP - MdB and I find that (dG/dB)_(T,P) = -M and (dG/dT)_(P,B) = -S, where I have used _(letters) to denote constants and that these are partial differentials. I want to prove the Maxwell relation that (dS/dB)_(T,P) = (dM/dT)_(B,P) *...