Schroeder single handedly taught me more Thermodynamics than any professor at MIT taught me about anything. Brother is THE G.O.A.T. OF THE G.O.A.T.'s. His "Thermodinamik und Statistische Physik" was my first German book to be read not as an exercise , and it was amazing. Sure , I may not like the mathematical methods for thermodynamics , but it was absolutely amazing.
I have fond memories of reading Dan's Intro to Thermal Physics textbook and working through the problems over summer break couple years ago. It's honestly one of my favorite textbooks from undergrad and it definitely helped undo some of the trauma that I received from Reif's Thermal and Stat textbook lol. He had this one cartoon diagram in his book explaining the connection between microstates, entropy and heat flow that was just so lucid and beautiful!
This was an excellent conversation! Schroeder’s Thermal Physics was my favorite book from my undergrad. It was interesting to hear the story of someone who went the teaching route as well.
Excellent Teaching combination of Math-Phys-Chem and Geometry. Presentation of "I'm doing this so you don't have to".., but teaching-learning cause-effect is just how it's done naturally. (Love it)
The issue with the standard statistical mechanics derivations is that they assume the quantities of states alone determine the flow of energy quanta between states, but the transition probability given that the energy is in a specific state also may have an effect: many physical phenomena show this, and are explicitly not ergodic in those cases; that is, all microstates are not equally accessible, time reversal symmetry is broken, or equivalently, the system in question is "strongly coupled" to the heat bath. Numerous videos by the UnLAB go into considerable detail with some example systems. To use the Markov chain analogy, absorbing and oscillating Markov chains are omitted in standard statistical mechanics, but they nonetheless exist in reality.
@@Freddiep1962 I recommend checking out Sheehan and Capek's book; you'll need QM and stat mech as prerequisites to fully grok it though. My lab is presently replicating their results.
@@michaelperrone3867 Sorry I didn't get back to you, am really busy. Thanks for the the recommendations, appreciated. Don't know if you know of Charles Chase ?. He has a TH-cam channel called the Unlab. This has a number of presentations on advanced propulsion and energy. Daniel sheehan on epicatalysis and Garret moddel with his Casimir photoinjecter device. Charles Chase was at MIT and also was employed at the scunk works. Worth a look. Thanks again, take care.
I don't see it being mentioned, but when calculating the amount of ways to distribute q units of energy among N oscillators, the relevant combinatorial problem and graphical aid is known as "Stars and Bars".
The way I was thinking about it is that each unit has a choice of oscillator, or it may "choose" to be glued to another unit. Since each clump will go to a different slot, they are all distinct, so the first unit to be placed sees N slots + q-1 fellow units acting as slots.
Maybe microstates can be approximated to be equally likely in an isolated system that has been allowed to evolve for a sufficiently long time that all information about its initial state has been lost. But then microstates would not be equally likely for a subsystem of interest that is part of a larger isolated system, such as a system of interest in contact with heat bath, where each apparent microstate of the subsystem of interest is essentially a mini-macrostate of the full isolated system. Regarding the definition of temperature, I have the impression that for an ideal gas, if temperature is defined in term of average kinetic energy, and if the change in entropy of the gas as it expands at constant temperature should be dS = ln(Vf/Vi) - that is, the ratio of accessible microstates should be the ratio of the final and initial volumes, independent of temperature - then the ideal gas law (pressure/volume work based on PV=nRT) requires the definition of dS = Q/T.
Time is statistical based off the motions given from your original point of observation, once you calculate all points of view simultaneously, you will not get all points of view, you will only get your observation,; once you are able to get all quantum information, they will look relativistic… for comparison, you will not know if one thing is falling or you are accelerating.. in our position of “gravity”
I got a feeling that statistical physics has not yet been fully understood as well as it could be. Many arguments in statistical physics use discretization in unjustified ways. It looks like we are getting right results with luck. At some points a quantity can get identified with temperature even though we don't really know anything else than that the quantity has some monotonous relation with temperature.
While these podcasts are interesting, they would be even more interesting if the guest would have more time to speak and more freedom to structure the conversation. When watching, I can't help but start to feel like a large portion of the time is spent proving to me that dr. Nguyen is smart, which I already accept. In this episode in particular, it almost seemed like dr. Nyguyen is explaining thermal physics to dr. Schroeder.
Schroeder single handedly taught me more Thermodynamics than any professor at MIT taught me about anything. Brother is THE G.O.A.T. OF THE G.O.A.T.'s. His "Thermodinamik und Statistische Physik" was my first German book to be read not as an exercise , and it was amazing. Sure , I may not like the mathematical methods for thermodynamics , but it was absolutely amazing.
I have fond memories of reading Dan's Intro to Thermal Physics textbook and working through the problems over summer break couple years ago. It's honestly one of my favorite textbooks from undergrad and it definitely helped undo some of the trauma that I received from Reif's Thermal and Stat textbook lol.
He had this one cartoon diagram in his book explaining the connection between microstates, entropy and heat flow that was just so lucid and beautiful!
This was an excellent conversation! Schroeder’s Thermal Physics was my favorite book from my undergrad. It was interesting to hear the story of someone who went the teaching route as well.
Timothy, these are great conversations. Their depth is far beyond anything else you can find on youtube (unless you actually go to online courses).
Excellent Teaching combination of Math-Phys-Chem and Geometry.
Presentation of "I'm doing this so you don't have to".., but teaching-learning cause-effect is just how it's done naturally. (Love it)
Incredibly lucid episode. I really enjoyed this one :).
Great explanation of temperature at the end!
I almost finish his Thermal Physics book
It was really awesome book for undergraduate level students with highly standard basic approach 😀
I used his thermal physics textbook as both an undergrad and MS Physics student!!!!!
The issue with the standard statistical mechanics derivations is that they assume the quantities of states alone determine the flow of energy quanta between states, but the transition probability given that the energy is in a specific state also may have an effect: many physical phenomena show this, and are explicitly not ergodic in those cases; that is, all microstates are not equally accessible, time reversal symmetry is broken, or equivalently, the system in question is "strongly coupled" to the heat bath. Numerous videos by the UnLAB go into considerable detail with some example systems. To use the Markov chain analogy, absorbing and oscillating Markov chains are omitted in standard statistical mechanics, but they nonetheless exist in reality.
lol for a sec I thought he said "Einstein Salad". Always nice to listen to Schroeder: he's a good teacher.
0:06 Dan is a particle!!?😮😮
Could Epicatalysis bend the second law. Could there be a type A and type B process in the second law?. Just a thought. Love your lectures.
You've been reading up on Dan Sheehan's works, haven't you?
@@michaelperrone3867 Yes. Was reading about Epicatalysis which led me to his work. Interesting.
@@Freddiep1962 I recommend checking out Sheehan and Capek's book; you'll need QM and stat mech as prerequisites to fully grok it though. My lab is presently replicating their results.
@@michaelperrone3867 Sorry I didn't get back to you, am really busy. Thanks for the the recommendations, appreciated. Don't know if you know of Charles Chase ?. He has a TH-cam channel called the Unlab. This has a number of presentations on advanced propulsion and energy. Daniel sheehan on epicatalysis and Garret moddel with his Casimir photoinjecter device. Charles Chase was at MIT and also was employed at the scunk works. Worth a look. Thanks again, take care.
Ps. Good luck on the replication. All success.
That was great. Thanks
I don't see it being mentioned, but when calculating the amount of ways to distribute q units of energy among N oscillators, the relevant combinatorial problem and graphical aid is known as "Stars and Bars".
Thanks for this I didn’t know that was the official name!
The way I was thinking about it is that each unit has a choice of oscillator, or it may "choose" to be glued to another unit. Since each clump will go to a different slot, they are all distinct, so the first unit to be placed sees N slots + q-1 fellow units acting as slots.
Maybe microstates can be approximated to be equally likely in an isolated system that has been allowed to evolve for a sufficiently long time that all information about its initial state has been lost.
But then microstates would not be equally likely for a subsystem of interest that is part of a larger isolated system, such as a system of interest in contact with heat bath, where each apparent microstate of the subsystem of interest is essentially a mini-macrostate of the full isolated system.
Regarding the definition of temperature, I have the impression that for an ideal gas, if temperature is defined in term of average kinetic energy, and if the change in entropy of the gas as it expands at constant temperature should be dS = ln(Vf/Vi) - that is, the ratio of accessible microstates should be the ratio of the final and initial volumes, independent of temperature - then the ideal gas law (pressure/volume work based on PV=nRT) requires the definition of dS = Q/T.
Time is statistical based off the motions given from your original point of observation, once you calculate all points of view simultaneously, you will not get all points of view, you will only get your observation,; once you are able to get all quantum information, they will look relativistic… for comparison, you will not know if one thing is falling or you are accelerating.. in our position of “gravity”
Tim would you be interested in going on my friend's TH-cam channel for an interview?
Feel free to have your friend reach out to me.
I got a feeling that statistical physics has not yet been fully understood as well as it could be. Many arguments in statistical physics use discretization in unjustified ways. It looks like we are getting right results with luck. At some points a quantity can get identified with temperature even though we don't really know anything else than that the quantity has some monotonous relation with temperature.
🙏🛸✨🌟💎🤩🌈🐚
While these podcasts are interesting, they would be even more interesting if the guest would have more time to speak and more freedom to structure the conversation. When watching, I can't help but start to feel like a large portion of the time is spent proving to me that dr. Nguyen is smart, which I already accept. In this episode in particular, it almost seemed like dr. Nyguyen is explaining thermal physics to dr. Schroeder.
VERY basic ,Temperature is the speed of jiggling .
Average speed
@@rajeevgangal542 That's right.