#OnThisDay Birth Anniversary of Austrian #Physicist Ludwig Boltzmann (1844). In 1877 he provided the current definition of entropy. Max Planck named the constant kB the #Boltzmann #Constant.
Happy Birthday Rihanna (1988) - one of the world's best-selling music artists.
Today is World Day of #Social Justice - an international day recognizing the need to promote social justice.
Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory
https://arxiv.org/abs/2503.01800
#HackerNews #sixth #problem #Boltzmann #theory #fluid #dynamics #math #research
In this paper, we rigorously derive the fundamental PDEs of fluid mechanics, such as the compressible Euler and incompressible Navier-Stokes-Fourier equations, starting from the hard sphere particle systems undergoing elastic collisions. This resolves Hilbert's sixth problem, as it pertains to the program of deriving the fluid equations from Newton's laws by way of Boltzmann's kinetic theory. The proof relies on the derivation of Boltzmann's equation on 2D and 3D tori, which is an extension of our previous work (arXiv:2408.07818).
#OnThisDay Birth Anniversary of Austrian #Physicist Ludwig Boltzmann (1844). In 1877 he provided the current definition of entropy. Max Planck named the constant kB the #Boltzmann #Constant.
Happy Birthday Rihanna (1988) - one of the world's best-selling music artists.
Today is World Day of #Social Justice - an international day recognizing the need to promote social justice.
the rest is silence...
i guess most are familiar to the #infinitemonkeytheorem
https://en.wikipedia.org/wiki/Infinite_monkey_theorem
#shakespeare #meme #mamema #memes #philosophy #statistics #stocastic #brown #gaus #boltzmann #lorenz #laplace #physics #chaos #probability #hamlet
J'ai fait une petite simulations rigolote pour vérifier numériquement un vieux truc que j'ai trouvé dans un article de Boltzmann. Si on met une particule dans un plan avec deux ressorts qui ont des constantes de forces k1 et k2, la trajectoire est périodique si k1/k2 est un nombre rationnel: https://youtu.be/keGGbb2uiB8
Évidemment si c'est pas un nombre rationnel (genre pi), c'est pas périodique: https://youtu.be/Tty0jFWKkv8
Voilà, c'est tout pour moi.
Good grief. Boltzmann's brain in the comics.
https://questionablecontent.net/view.php?comic=5283 I liked this answer "If you ask me, it doesn't matter if we're just a bunch of bits and bytes as long as we're experiencing our lives!" similar was said in the movie "Free Guy"
I liked Susskind's answer to the question of whether we lived in a computer....
#SethLloyd - What is #Complexity in the #Cosmos?
https://www.youtube.com/watch?v=REAGfJcrjxk
#Philosophy #PhilosophyOfScience #Math #Maths #Mathematics #Information #Phase Transition #PhaseTransitions #LawsOfPhysics #LawsOfNature #Nature #Physics #Probability #Chance #AlgorithmicComplexity #AlgorithmicComplexityTheory #Life #DNA #Monkeys #Shakespeare #Entropy #Maxwell #JamesClerkMaxwell #Boltzmann #LudwigBoltzmann #CloserToTruth #RobertKuhn
#OnThisDay Birth Anniversary of Austrian #Physicist Ludwig Boltzmann (1844). In 1877 he provided the current definition of entropy. Max Planck named the constant kB the #Boltzmann #Constant.
Happy Birthday Rihanna (1988) - one of the world's best-selling music artists.
Today is World Day of #Social Justice - an international day recognizing the need to promote social justice.
"The authors introduce the two main theoretical approaches in SM, Boltzmannian SM and Gibbsian SM, and discuss how they conceptualise equilibrium and explain the approach to it. In doing so, the authors examine how probabilities are introduced into the theories, how they deal with irreversibility, how they understand the relation between the micro and the macro level, and how the two approaches relate to each other."
Frigg R, Werndl C. Foundations of Statistical Mechanics. Cambridge: Cambridge University Press; 2024. doi: https://doi.org/10.1017/9781009022798 #OpenAcess #OA #PhilosophyOfScience #Philosophy #Science #Physics #Probability #Boltzmann #Gibbs #Academia #Academic @philosophy @philosophyofscience @physics
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