Phonons and The Debye Model - Statistical Physics - University Physics

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[@pazzy768]

Thankyou for your kind words! l will do soon! :)

[@dmitriroslikov2770]

Super underrated channel

[@cosmicnomad8575]

The legend is back with yet another excellent and informative video!

[@MM-ig2it]

I'm watching u from Egypt. I'm going to explain this model next lecture to my students. Ur explanation is very creative and simple.

[@Mohamm4dT]

Thanks. that is an elegant explaination, keep doing this kind of content please, would also love to see some problems solved. thanks again.

[@fawunmisolomon9433]

This is great, well explained,keep it up man👍

[@itspunit01]

cool man. Loved the way you have explained this..

[@dbf72829]

hi isnt the density of state proportional to square root of E 38:09 thats what we derived in your dos video, please clarify this if its a different relation

[@pazzy768]

Hi, that would be true if it was a system of electrons - but we are considering a system full of phonons. The dispersion of phonons is given by E = hbar*k*v which leads to a different result for the density of states than in the case for electrons, namely proportional to E^2.

[@chen-yunchang7105]

You saved my stastical mechanics test💞

[@學習中的哈密瓜]

Thanks for your video!!

[@mojanice4864]

Thank you very much! Helped a lot!

[@benjaminsoto6449]

Fantastic!!!

[@UniverseForme]

Thank you❤ for such a good explanation

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[@christianavanzato4357]

You are great!

[@pixelberrychoicespodcast5861]

Series finale of heat capacity of solid

[@exciton007]

Nice video! Why is this model with the springs more accurate then Einsteins or Debye's model seen in the dispertion relation?

[@pazzy768]

Essentially, Einstein didn't take into account the interaction between the particles that make up the insulator. He assumed that each atom oscillated independently of one another, whereas Debye, through introducing phonons, included phonon modes which described collective oscillations of the atoms through the solid. This allows for more states to be available for low energies, therefore increasing the heat capacity dependence to a T^3 law.

[@yairl1]

Thank you!

[@Jack-sh4uv]

Are you able to define the debye frequency/temperature with respect to a phonon density of states? If so what physically does it mean?

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Seriously bro keep it up

[@abdirazaqali8921]

Hi your videos are highly informative and helpful. Kindly which branch of physics did you specialize in.

[@pazzy768]

I actually specialised in biophysics, but I’m now doing a PhD in atmospheric chemistry

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[@r-ratedstudios3847]

im a music producer far away from maths trying to understand the E=Hf, i want to know how much energy per frequency of a soundwave, and how to put it on a graph from 20hz to 20Khz, can someone help ? very informative video tho !