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Entropy, information theory and statistical physics

#SoME4

▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬

0:00 - Intro
1:28 - Initial Problem
3:17 - Information Content
8:28 - Coin Problem & Entropy
18:12 - Maximum Entropy Principle
21:42 -Chapter 2 Intro
23:22 - Statistical Ensembles
24:47 - Quantum Case
29:37 - Classical Case
36:40 - Chapter 3 Intro
37:10 - Second Law of Thermodynamics
44:20 - Statistical & Thermodynamics Entropy
47:47 - Temperature
50:00 - The Fate of the Universe

animations done with 3Blue1Brown’s ManimGL — https://github.com/3b1b/manim

Music by Vincent Rubinetti
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sources :

A Mathematical Theory of Communication, Shannon, https://people.math.harvard.edu/~ctm/...

Information Theory and Statistical Mechanics, Jaynes, https://bayes.wustl.edu/etj/articles/...

Information Theory and Statistical Mechanics II, Jaynes, https://bayes.wustl.edu/etj/articles/...

Probability Theory: The Logic of Science, Jaynes, https://bayes.wustl.edu/etj/prob/book...

A Farewell to Entropy: Statistical Thermodynamics Based on Information, Ben-Naim, https://www.worldscientific.com/world...

Statistical Physics, Sator, Pavloff & Couëdel, https://www.taylorfrancis.com/books/m...

Physique statistique, Hocquet, https://hal.science/cel-01760602