Recent content by maverick_starstrider

I appreciate your feedback but I have to say that if such a correctly implemented algorithm gave such obviously poor answers in trivial cases, no one would use it. I would direct your attention to the rectangular example at the bottom here...

Apologies for the no LateX. I know the correct cut because it's a 4x4 square, it's trivially easy to see visually that the cut, which 4 edges cross, that goes through the middle is the sparsest cut. It's like this without the connections going out the side of the image...

I'm playing around with Spectral Bisections and Fiedler vectors as ways of bisecting a graph using the sparsest cut. However, I'm finding that even the most trivially simple graphs are bisected incorrectly by this approach. What am I missing? Take for example a graph that is just a 4x4...

Hi, I'm wondering if people could help me compile a list of ELECTRONIC phase transitions, that are FIRST-ORDER, that occur at room temperature and can be driven by things like doping, strain, magnetic fields, etc. rather than temperature. Any suggestions are greatly appreciated. Also, would...

I figured it out. For the curious, this document discusses things rather thoroughly: http://www.auburn.edu/~duinedu/epr/1_theory.pdf

Right but this is the trivial case. Like when biologists use it to identify free radicals in solution. I'm talking about thing like in Condensed Matter, where you already know what the substance is but people do ESR to tell you... something. I understand that the splitting of peaks can help...

From ESR data you can extract the g-factor and "effective" magnetic field. Let's say I get this g-factor from ESR, what does it tell me? i.e. "if the g-factor is X then Y is happening in the system". What specific information can I get from knowing this factor? What causes it to differ from...

If I may, perhaps, co-opt the conversation for an alternate hypothetical situation. Let's imagine we have a ONE (spatial) dimensional system. It has homogeneity in time so it has conservation of energy. I then have two wave sources pointing at each other with identical frequencies but phases...

Alright, I think I've got the section nailed down. Thanks all for the great help!

Again, nothing I`m talking about is out-of-equilibrium, nothing is time dependent. I`m talking about separating quantum and thermal fluctuations in something like a spin system in equilibrium (i.e Mott insulator with strong on-site repulsions at low temperatures).

An equilibrium system still has time dynamics for it has terms with derivatives in real or imaginary time. This is not the same as saying the system is not in equilibrium. A typical action would be something like S = \overline{\psi} \partial_{t} \psi + H where the first term is the time...

Yes thank you, I see. So a quantum partition function or statistical field theory partition function includes both thermal and quantum fluctuations provided the Hamiltonian is made of non-commuting operators (i.e. quantum). Is it then correct to say the thermal partition function of a, say...

Thinking about it a bit more I believe the state of affairs is probably as follows: Thermal fluctuations for a classical Hamiltonian: Z = \int DS_i e^{- \beta H (S_i)} \rightarrow \int DS_i e^{- \beta H_{saddle pt.} + fluctuations} Quantum fluctuations for a T=0 system Z = \int...

That's alright. I appreciate the effort regardless.

I'm specifically concerned with quantum critical regions at finite temperatures ( http://en.wikipedia.org/wiki/Quantum_phase_transition#mediaviewer/File:QuantumPhaseTransition.png ). At T=0 quantum fluctuations are the driving force of exotic behaviour. At T>0 you have, necessarily, thermal...