Nexa wrote:
yossarian wrote:
Sorry Nexa, this will be boring. Skip it. Maybe my next post will be about something really exciting, like the fluctuation-dissipation theorem.
That would be more interesting, though over my head, since I don't feel it should be painfully obvious.
Nexa
It's my favorite theorem.
1. The name is fun to say.
2. It is a very interesting result.
3. It can be violated[1] and in these cases, you get really interesting results: see for example: http://www.mesopc.physics.neu.edu/papers/PRL_vol83_FDT.pdf
The wikipedia explanation is fine so I'll just cut and paste it:
"In statistical physics, the fluctuation dissipation theorem is derived from the assumption that the response of a system in thermodynamic equilibrium to a small external perturbation is the same as its response to a spontaneous fluctuation. There is therefore a direct relation between the fluctuation properties of the thermodynamic system and its linear response properties."
It's just so damn cool: you can measure linear response (to, say, a magnetic field) and predict the noise (the fluctuations). OR: you can measure the noise (as in the article above) and predict the linear response!
[1] It isn't really violated. It is a mathematical theorem and as such it is "proven" true from it's assumptions. It fails if the system isn't in equilibrium.