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Dec
15
awarded  Notable Question
Sep
2
awarded  Popular Question
Aug
14
comment Heat equation : boundary conditions?
This is what I was trying, but I can't seem to get anything other than $\kappa S \left(\frac{d T}{dx}_{x=0^+}-\frac{d T}{d x}_{x=0^-} \right)=0$. I am obviously making an incorrect assumption or handling the equations incorrectly.
Aug
13
awarded  Promoter
Aug
13
comment Heat equation : boundary conditions?
Perhaps this is more of a math question. My trouble is, the first boundary condition $T(L/2)=T(-L/2)=T_{\infty}$ completely solves the differential equation! I don't know how to deal with the last equation. Thanks.
Jul
2
awarded  Curious
Jun
13
comment Heat equation : boundary conditions?
Edited to include all this information. (its all in the referenced paper)
Jun
13
revised Heat equation : boundary conditions?
included diagram
Jun
13
comment Heat equation : boundary conditions?
The first two equations I can solve - it yields a parabolic temperature profile. However coupling in the third, I can't solve. "it" is the third equation.
Jun
13
asked Heat equation : boundary conditions?
Jun
7
awarded  Popular Question
May
30
comment Laser excitation of Phonon Modes
What is the physics of the relaxation at surfaces? I.e. excitation of acoustic modes in 2D like graphene?
May
30
asked Laser excitation of Phonon Modes
Apr
27
comment Landau Levels and Magnetic length
I understand that. But it supposedly follows from the previous equation. Which doesn't yield that relationship.
Apr
27
asked Landau Levels and Magnetic length
Apr
15
accepted Out-of-Plane Phonons
Apr
14
comment Out-of-Plane Phonons
Im not sure I understand where $\tilde{h}$ comes into this. Whenever you have the differential equation can't you just make a substitution like I made above and get the answer? What is $\tilde{h}$ explicitly?
Apr
13
asked Out-of-Plane Phonons
Mar
5
awarded  Popular Question
Feb
8
awarded  Yearling