Multiplicity (omega) is not a statement about a particular microstate, but one concerning the number of microstates belonging to a particular macrostate. For example, if you flip a coin three times, the outcome 'HHT' is a microstate corresponding to the macrostate '2 Heads'. The multiplicity of the '2 heads' macrostate is 3 as we can get 2 heads by {HHT, HTH, THH}.
+Sachin Natesh - I agree - He keeps saying "microstate" when he means "macrostate". A macrostate is what you actually can see - variations in temperature, density, pressure, etc. but not what each particle is doing. When you think about what each particle is doing, that's a microstate, and there can be many microstates which give you the same macrostate. There is no "most probable microstate". All microstates are equally likely. There is a "most probable macrostate" - the equilibrium macrostate. It turns out that almost all the microstates give you the equilibrium macrostate. The system is jumping around from microstate to microstate, but practically every jump it makes is to another equilibrium microstate and when you actually make a macro-measurement, it always looks the same.
Dr. Haridoss, thank you very much for your teaching. I spent hours in Max Born's version re Maxwell Boltzmann distribution, but your explanation is way clearer and easy to understand. Absolutely brilliant.
What an outstanding professor/teacher!!!! I'm always looking for how and why they come at these famous equations and this video is wonderfuly explained. Only one note, at 48:50 how did they find that beta = 1/kBT?
Beta is part of exp(-beta.epsilon) with epsilon being some level of energy; like is shown here: 48:36. Because the term in parentheses must be dimensionless beta must have a unit of energy. The product kB . T (from the ideal gas law) gives you that unit.
I think what he wanted to say was that Omega is the number of ways (number of micro-states) of obtaining a given macro-state. And that macrostate that encompasses the greatest number of microstates is the maximizer of Omega.
can you tell me why boltzman used n!/n1!n2!..... whose particles are partially indistinguishable in group by group, while n^k perfectly treats the particles distinguishable.
@ 11:36 The Boltzmann-distribution is based on classical physics, in which energy is continuous (= no discrete energylevels). Here a fixed number of energylevels is only convenient from a mathemical perspective. @ 50:06 This is NOT the Maxwell-Boltzmann distribution. It is the Boltzmann-distribution!
κοιτα θα ειμαι ειλικρινης , πολυ βοηθητικα ολα τα βιντεο σας και μπραβο σας αλλαααααα δυστηχως η προφορα των αγγλικων σας ειναι ανυποφορα κουραστικη ποποοοοοοο
delta(ni) is like the dx part of the differentiation, f'(x) = (something) so dy/dx = (something) dy = dx(something) here dy = delta(Omega) dx = delta(ni) it's not delta actually, its del
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beautifully explained! Some of the professors at IIT are simply outstanding teachers.
except that he is explaining the Omega absolutely wrong
@@alis5893 So where is your explanation???
@@alis5893 how? Here Omega is the no. Of ways of particles in a microstate and not not accessible state.
@@ishwartanwar8983 ok . I think I got confused over the symbols
Multiplicity (omega) is not a statement about a particular microstate, but one concerning the number of microstates belonging to a particular macrostate. For example, if you flip a coin three times, the outcome 'HHT' is a microstate corresponding to the macrostate '2 Heads'. The multiplicity of the '2 heads' macrostate is 3 as we can get 2 heads by {HHT, HTH, THH}.
+Sachin Natesh - I agree - He keeps saying "microstate" when he means "macrostate". A macrostate is what you actually can see - variations in temperature, density, pressure, etc. but not what each particle is doing. When you think about what each particle is doing, that's a microstate, and there can be many microstates which give you the same macrostate. There is no "most probable microstate". All microstates are equally likely. There is a "most probable macrostate" - the equilibrium macrostate. It turns out that almost all the microstates give you the equilibrium macrostate. The system is jumping around from microstate to microstate, but practically every jump it makes is to another equilibrium microstate and when you actually make a macro-measurement, it always looks the same.
thanks for clarifying
@@paulreiser816 awesome explanation man
@@anonymous-hz1mf thanks for further explanation
@@anonymous-hz1mf Thanks brother:)
Beautifully explained. Cleared all the doubts I had ! Always a fan of NPTEL.
This is the best lecture I've come accross so far!
Dr. Haridoss, thank you very much for your teaching. I spent hours in Max Born's version re Maxwell Boltzmann distribution, but your explanation is way clearer and easy to understand. Absolutely brilliant.
Haven't seen any of his other videos, but after this one, I think I should. VERY helpful. Thank you!
What an outstanding professor/teacher!!!! I'm always looking for how and why they come at these famous equations and this video is wonderfuly explained. Only one note, at 48:50 how did they find that beta = 1/kBT?
Beta is part of exp(-beta.epsilon) with epsilon being some level of energy; like is shown here: 48:36. Because the term in parentheses must be dimensionless beta must have a unit of energy. The product kB . T (from the ideal gas law) gives you that unit.
I think what he wanted to say was that Omega is the number of ways (number of micro-states) of obtaining a given macro-state. And that macrostate that encompasses the greatest number of microstates is the maximizer of Omega.
a best source for better explanation of this theory...
can you tell me why boltzman used n!/n1!n2!..... whose particles are partially indistinguishable in group by group, while n^k perfectly treats the particles distinguishable.
if the quality of video will be increased it should be more great. very nice video lecture sir. thank you so much
Thank you Sir ,can you providea video about Nernst heat theorem & third law of thermodynamic ..? It will may help me a lot .
Understood much better and easily sir. Thankyou alot.
Watching from Nigeria, very interested lecture, thank you sir
Start loving science again
This is very good. I just wished you had showed some examples.
@ 11:36 The Boltzmann-distribution is based on classical physics, in which energy is continuous (= no discrete energylevels). Here a fixed number of energylevels is only convenient from a mathemical perspective. @ 50:06 This is NOT the Maxwell-Boltzmann distribution. It is the Boltzmann-distribution!
Amazing amazing....thanks a lot Sir 🙏🙏🙏
Bravo, sir!
Thanks for the explanation
Sir plz tell me where can I find the video lectures of optics for b.sc
Optoelectronics nptel by IIT Delhi prof.Dr. shony
The best professor!
Very good explanation of Maxwell boltzmann statistics
Helped Me Lot To Clear My Concept Thanx Great Work :)
But, how did you take "beta" as 1/KbT
Its a formula
Best thing in internet!
Thank's for your explanation :))
Sir what is mean by alpha nd beta ??
Shotly
YOU NEED TO CORRECT YOUR EXPLANATION OF OMEGA... Students will get confused. CORRECT THIS
can you explain?
Thank You Sir
plz explain interpretation of partition function: translation,rotational,vibrational and electronic partition functions.
BSc physics course.. Ri8??.. I want the same things... Lol... Have u found all these??
outstanding sir
κοιτα θα ειμαι ειλικρινης , πολυ βοηθητικα ολα τα βιντεο σας και μπραβο σας
αλλαααααα δυστηχως η προφορα των αγγλικων σας ειναι ανυποφορα κουραστικη ποποοοοοοο
Link for the complete lecture series plzzz
Thanks.
Is it for the expression for velocities for ideal gas ????
Noo.....we can derive "Maxwell velocity distribution" using this "Maxwell boltzmann statistics "
what an amazing lecture ... really well explained
Wonderful ❣️
how can we take delta(ni) common from 1st expression ?
delta(ni) is like the dx part of the differentiation,
f'(x) = (something)
so
dy/dx = (something)
dy = dx(something)
here dy = delta(Omega)
dx = delta(ni)
it's not delta actually, its del
Absolutely brilliant👍🏻👍🏻
Too good excellent
Very good teacher
are you wearing slippers ? do you have a lost brother ?
Are you wearing nothing? Do you have a lost family?
Nice.
U give us more videos sir
Thanks sir
What about degeneracy
When the state of a system has more than one energy-value, this state is called degenerate.
not bad mmm
Sir please Hindi me lectures dijiye..
sound quality is very poor.. cudnt understand anything
sound quality is very poor
sound quality is very poor.. cudnt understand anything
So, you better watch other lecture series!