Thanks. that is an elegant explaination, keep doing this kind of content please, would also love to see some problems solved. thanks again.
@BaloyiMagezi-zq7ywАй бұрын
Yup these are very enlightening 😊
@zohaibkhalid8954Ай бұрын
Love your videos. The math is perfect right now. Please more university physics courses
@GAPQ-xb6di2 ай бұрын
What does Entropy has to do with Quasistatic.? Isn't it that the term "Entropy" is focused on disorderedness of particles.?
@yairl12 ай бұрын
Thank you!
@isuckatmc17282 ай бұрын
such a great video, just the right amounts of curiosity, intuition and mathematics, i love it! you explained this very well😊 many physicists lose their exitement for the subject, it seems, and get lost in the sea of mathematics, but you still got it, like richard feynman
@ZekiTofik2 ай бұрын
Seriously bro keep it up
@ronycb71682 ай бұрын
❤
@chiayuchang64742 ай бұрын
I find this after five years. They give prepaid bonus.
@Vickyiyke3 ай бұрын
Thanks a lot for this video. I didn't have to watch another after watching this two videos on scaler and vectors.
@Vickyiyke3 ай бұрын
I really appreciate this teaching. Very explanatory.
@r-ratedstudios38473 ай бұрын
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 !
@palacinka75233 ай бұрын
Hey, good to have you back, looking all bright and healthy! Just wanted to say I passed my Thermodynamics course. Honestly, your playlist was a game-changer for me. Couldn't have done it without your Playlist. It was the only way I could understand the topic. Thanks a bunch
@learneveryday21353 ай бұрын
Nice lecture, sir. Keep making more content of this kind and inspire inquisitive minds.
@blackhole12223 ай бұрын
vey useful, thanks!
@Rafid_Ahmed1014 ай бұрын
me: Notes Down the whole lecture In the End ~ "This model doesn't actually work" T_T
@pazzy7684 ай бұрын
Yea physics do be like that sometimes
@declanwk14 ай бұрын
Thank you for these videos. It’s ironic that statistical mechanics is not your favourite physics topic but you make it so interesting
@Sufiyaar14 ай бұрын
What about the higher frequency limit? The video seems to end abruptly
@pazzy7683 ай бұрын
It's continued in the next video I uploaded on the Drude Theory of Metals
@aceitedeolivas19974 ай бұрын
hello hello, a quick question at 41:00. looking at my notes, the Clausius Mossitti relation differs by a factor of 4pi. are your explanations written in SI or in CGS units?
@pazzy7684 ай бұрын
Hi, all my equations are in SI units! Looking at the conversion, it looks like with Gaussian units there’s a factor of 4 pi difference!
@InquilineKea4 ай бұрын
Is number of states correlated with entropy?
@pazzy7684 ай бұрын
So the entropy, S, is given by S = k_B * ln(w) Where w is known as the macrostate multiplicity (ie the number of microstates for given marcostate). So a given system in thermodynamic equilibrium will want to maximise this quantity - and so will occupy the state which has the greatest number of choices!
@ahh20124 ай бұрын
Used to watch your Paper Mario TTYD series when I was a kid. Hope you are doing good.
@pazzy7684 ай бұрын
Thanks, haha! I remember those!!
@miguelaphan584 ай бұрын
.You develop just the point ,books miss. ..is a miracle !!
@user-nr9hv5rv6t4 ай бұрын
i have some question if i may ask
@user-nr9hv5rv6t4 ай бұрын
bro i have noooooooooooo idea why this amazing video got only 45 likes !!!!!!!!!!!!!!!!!!!!!!!!💔💔💔💔💔💔💔💔💔, you did an excellent job btw
@mathildebrunet-mercier87434 ай бұрын
amazing
@MM-ig2it4 ай бұрын
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.
@kanwat6594 ай бұрын
Thanks for making these awesome lectures on statistical mechanics 😊 I'd literally having hard time in understanding of the subject
@citra54314 ай бұрын
I'm confused about how you're defining degrees of freedom. For an ideal gas, we had 3 degrees of freedom, but in the metal lattice you show in the derivation of the Dulong-Petit Law, you say there are 6 degrees of freedom? Why the difference? Furthermore, you mention at the end that in future videos there will be elements of QM. You mention that we will now assume particles are indistinguishable, but I thought we were assuming that for a while now? Isn't that what the point of the Gibbs factor (1/N!) is? These videos have been excellent in all other aspects and have hugely helped me navigate this difficult subject.
@pazzy7684 ай бұрын
For the ideal gas, there are indeed 3 DOF. These include: motion in the x direction, motion in the y direction and motion in the z direction. Mathematically, this can be written as a Hamiltonian which has three momentum terms: p_x^2, p_y^2, p_z^2, one for each cartesian coordinate. In the case of an atom in a metal lattice, we model the atom as a harmonic oscillator. This means that in addition to the three momentum motion terms in the Hamiltonian, there are three additional terms which correspond to the elastic potential energy stored when an atom deviates from its equilibrium position in the lattice. Think the formula for the potential energy stored in a spring ½*k*x^2. But because we're in three dimensions, it would be ½*k*(x^2+y^2+z^2). These 3 terms, alongside the 3 momentum terms give rise to 6 degrees of freedom in total in the metal lattice. The key difference is, in an ideal gas there is no potential experienced by the particles, whereas in a lattice the atoms are bound by potentials caused by other atoms. I'll get back to the second part of your question when I rewatch my video!
@citra54314 ай бұрын
@@pazzy768Thanks, that makes sense. A very clear and throrough explanation.
@pazzy7684 ай бұрын
@@citra5431 Could you provide a timestamp for the part that you were referring to in the second part of your question? I couldn't find it in the end!
@sumaiyaseif35005 ай бұрын
Wao, this is excellent and well explained thank you, you helped a lot, its what I have been looking for
@avinashsah83595 ай бұрын
Man you are the myth, the monster, and the legend. I hope you were my professor. I'm in awe after watching your videos. You are a savior. Keep uploading and helping us😁
@pazzy7685 ай бұрын
Thankyou for your kind words! l will do soon! :)
@dmitriroslikov27705 ай бұрын
Super underrated channel
@ramisa73545 ай бұрын
I love your videos I’m in my first year of my physics degree and these are carrying me
@xyzme12175 ай бұрын
Thank you so much ❤
@JohnVKaravitis6 ай бұрын
7:05 Wrong. The issue is that the further you go up in frequency, the more energy would be expected to radiated out from the black body. The limit would be infinite energy emitted by the black body, and THAT is the "carastrophe." Also, the word "ultraviolet" was their time's way of describing photons beyond visible light. You're welcome.
@quetzalcube6 ай бұрын
Hey, nice video but Gibbs entropy formula does NOT have a capital N term. You missed saying that entropy is linear, and that you are takin N elements/systems, hence the entropy of ONE element / system is the actual formula of Gibbs, which does not have N, because you have to divide by N.
@JohnVKaravitis6 ай бұрын
0:45 You meant delta Q =0.
@pazzy7686 ай бұрын
True!
@matthewtaylor4456 ай бұрын
This series as a whole is incredible! In 2 nights I went from someone who got a bad lecturer in first year thermo and permanently put off any ambition to learn the theory, this has changed that to someone who is enjoying learning all these things I wish I knew in the first place! Amazing videos so far!
@pazzy7686 ай бұрын
Thanks, honestly really great stuff to hear!
@consciousness1476 ай бұрын
❤
@SampleroftheMultiverse7 ай бұрын
Boltzmann Distribution Hey Pazzy, does this model look like it might describe the math in your lecture? Thanks for your well produced video. Your viewers might enjoy seeing my personal amateur science project. Sorry if it’s not a well produced video I need to do better. It might be a good visual aid that the math describes. See linked below. It uses a sheet of spring-like material buckled from the ends to form a Gaussian curve. The area under the curve represents the energy in the system. The sheet of material represents a field with the ends bounded. Seeing the mechanical effect may takes some of the mystery of what the math for your students. See the load verse deflection graph in the white paper found elsewhere on my KZbin channel. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3
@SampleroftheMultiverse7 ай бұрын
Is it me just wildly speculating or does this actually relate to your lecture and subject? Particle in a box model Thanks for your well produced video. Your viewers might enjoy seeing my personal amateur science project in the visual aid linked below. It uses a sheet of spring-like material buckled from the ends to form a Gaussian curve. This is to represents a two dimensional field with the ends bounded. Seeing the mechanical effect may also takes some of the mystery of what the math is showing. See the load verse deflection graph in the white paper found elsewhere on my KZbin channel. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3
@rudylopez65467 ай бұрын
Your videos have amazing explanations to complex topics. Keep up the great work!!!
@wambe97657 ай бұрын
Would be very helpful if you could group your video so that it could be followed in order
@wambe97657 ай бұрын
This is the only video that actually define the ultraviolet catastrophe and give the mathematical relationship describing the realities and why it’s like that
@citra54317 ай бұрын
Hi, great video! I had a question though - when you use "quasistatic" in this video, is this the same as being reversible? I would think that a process that happens very slowly such that the system is in equilbrium at all times would be reversible?
@pazzy7687 ай бұрын
Hi, thanks! I don’t think they’re quite the same thing. Quasistatic refers to the system being in constant equilibrium with its environment, and that you’re changing a parameter slowly enough so that the system and environment are never unbalanced. However once you’re getting into reversibility then the second law of thermodynamics would start to kick in, which is non time symmetric. Technically you can go back and forth along the same part of (eg.) a Carnot cycle but in reality the efficiency of that process will never be more than the ideal efficiency, which is already less than 1.