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Langevin equation (corrected) 

Jos Thijssen
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8 окт 2024

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Комментарии : 15   
@Non-Hypocrite
@Non-Hypocrite 7 лет назад
Thanks Jos, you make it very simple.
@nicolaszou6809
@nicolaszou6809 8 лет назад
The equation presented in 29:48 is not Fokker-Planck equation, and if you put the solution into this equation, you would find the two sides are not equal when you calculate very carefully. This mistake is on derivation. Please check and your video is very useful, thanks a lot!
@josthijssen6782
@josthijssen6782 8 лет назад
You are right. The first v on the rhs should be inside the derive. I'll have a closer look at it and post a corrected version. Thanks!
@MrJOSETACO
@MrJOSETACO 8 лет назад
This was very good, much appreciated! Do you post the notes for this lecture/vid anywhere online? -brad
@josthijssen6782
@josthijssen6782 8 лет назад
+bp Dear Brad, Thank you for your kind words. I have uploaded the tablet notes used for all my videos on stat mech (not the ones on classical mechanics, though) to github.com/josthijssen/TabletNotes
@MrJOSETACO
@MrJOSETACO 8 лет назад
+Jos Thijssen Awesome! Much appreciated..I've been struggling with a few of these derivations, your notes/lecture have made them trivial at this point.
@damian.gamlath
@damian.gamlath 4 года назад
very clear - many thanks :)
@robsenponte3308
@robsenponte3308 6 лет назад
Nice video
@aniruddhabose5315
@aniruddhabose5315 4 года назад
How can we model the random force so that I can write some code for it. ???? Appreciate your videos !!!!
@josthijssen6782
@josthijssen6782 4 года назад
You just choose a random value for it at each timestep with the property that = q \delta_{nm}/\Delta t
@MoraAbbasi
@MoraAbbasi 8 месяцев назад
thank you. but why did you consider t1 and t2 equal?
@josthijssen6782
@josthijssen6782 7 месяцев назад
Thanks for your question. Which minute/second are you writing about? If you mean the discussion after 17:00 minutes, it is due to the property of the Langevin forces,
@MoraAbbasi
@MoraAbbasi 7 месяцев назад
thank you so much professor @@josthijssen6782
@tomsmith6878
@tomsmith6878 5 лет назад
@20:28 q = 6 * gamma * k * T
@josthijssen6782
@josthijssen6782 5 лет назад
The factor 6 is indeed correct for 3D. Here I consider 1D to keep it simple; for 1D, the factor 2 is correct.
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