Another month, another article dump

So many interesting topics to share (in themed-based posts) and a few derivations here and there. Got some insight about a text I started and dropped last year from a text (relating to renormalization and perturbation methods in statistical mechanics). There were a few interesting things to mention, but I didn’t really do an important/illustrative derivation.

https://www.good.is/he-left-for-a-space-mission-when-he-returned-after-5000-earth-orbits-his-whole-country-was-gone

Not quite pop science

https://www.technologyreview.com/2024/04/23/1090447/competitive-math

https://www.nps.gov/articles/000/composite-volcanoes.htm#:~:text=Composite%20cones%20are%20large%20volcanoes,years)%2C%20and%20erupt%20periodically.

Answer to Is there a Von Neumann or Einstein of the 21st century? by Max Patten https://www.quora.com/Is-there-a-Von-Neumann-or-Einstein-of-the-21st-century/answer/Max-Patten-4?ch=15&oid=1477743750065674&share=eb0dbb04&srid=P5qP&target_type=answer 

Answer to Why do the quantum mechanics experts (physicists) who want to explain quantum entanglement sound just as (nebulous) as the theologians who talk about the creation of the world? by Franklin Veaux https://www.quora.com/Why-do-the-quantum-mechanics-experts-physicists-who-want-to-explain-quantum-entanglement-sound-just-as-nebulous-as-the-theologians-who-talk-about-the-creation-of-the-world/answer/Franklin-Veaux?ch=15&oid=1477743742546462&share=344efd57&srid=P5qP&target_type=answer

Answer to Why is the book Linear Algebra done right by Axler so highly regarded? by Jeffrey Stuart https://www.quora.com/Why-is-the-book-Linear-Algebra-done-right-by-Axler-so-highly-regarded/answer/Jeffrey-Stuart-10?ch=15&oid=1477743744888490&share=7e12dd27&srid=P5qP&target_type=answer  

Other Serious Science and related …

https://softmatterlab.org/tag/benno-liebchen

https://www.good.is/he-left-for-a-space-mission-when-he-returned-after-5000-earth-orbits-his-whole-country-was-gone

https://phys.org/news/2024-04-danish-children-encounter-typical-family.html

Answer to After achieving a PhD, what would you say is the biggest negative you’ve received due to having that PhD? by Janine Tiu https://www.quora.com/After-achieving-a-PhD-what-would-you-say-is-the-biggest-negative-you-ve-received-due-to-having-that-PhD/answer/Janine-Tiu?ch=15&oid=132146815&share=09509c07&srid=P5qP&target_type=answer 

Other Mostly Leisure

Home

not leisure … https://www.thestar.com/business/canada-s-output-per-capita-a-measure-of-standard-of-living-plummets/article_b51554ca-0336-11ef-8141-c3a368af99f3.html

https://www.atptour.com/en/video/highlights-zverev-stops-shapovalovs-late-madrid-2024-charge

https://www.musicradar.com/news/rememebering-keith-emerson-ELP-emerson-lake-palmer-moog

https://www.atptour.com/en/news/sinner-kotov-madrid-2024-monday

https://www.atptour.com/en/news/nadal-cachin-madrid-2024-monday

memories of grade 9 … https://faroutmagazine.co.uk/paul-mccartney-greatest-song-ever

https://en.wikipedia.org/wiki/Final_Fantasy_XIV:_Endwalker

Posting on a quiet, Good (Fri)day

This post will focus on sharing condensed matter physics topics, though I’ve been reading about geography and renormalization theories outside of work (applied statistics — in industry).

Took a while to find this while searching on the topic: https://www.livescience.com/technology/electronics/new-diamond-transistor-is-a-world-1st-paving-the-way-for-high-speed-computing-at-the-highest-temperatures

https://www.nature.com/articles/d41586-024-00832-z?

Non-lin dynamics too: https://phys.org/news/2024-03-magnetic-avalanche-triggered-quantum-effects.html

https://phys.org/news/2024-03-topological-metamaterial-amplifies-exponentially.html

Chemistry but likely CM applications: https://www.nature.com/articles/s44160-024-00515-7

Sticky materials un-stick themselves in jumps

Fluid dynamics:

https://link.springer.com/article/10.1007/BF01010426

https://pubs.aip.org/aip/jcp/article/92/5/3100/221723/Statistical-mechanics-of-rubber

People:

https://en.wikipedia.org/wiki/Marjolein_Dijkstra (Haven’t read the article on ML in CM but I’d be interested if I find the time)

While searching for the former: https://research.wur.nl/en/persons/marjolein-verhulst though she’d fit in if I post on geography-like topics.

https://en.wikipedia.org/wiki/Bertha_Swirles

More General (tilted towards education):

https://math.stackexchange.com/questions/1905704/question-on-morse-and-feshbachs-book Arfken is the way to go if balancing pedagogy and professional reference (the year before I took the course used it; I had McQuarie which is great in the former and decent in the latter)

https://physics.stackexchange.com/questions/176776/could-navier-stokes-equation-be-derived-directly-from-boltzmann-equation

https://en.wikibooks.org/wiki/Introduction_to_Theoretical_Physics#:~:text=Theoretical%20physics%20is%20the%20branch,discoveries%20or%20ideas%20would%20develop.

https://en.wikibooks.org/wiki/Space_Transport_and_Engineering_Methods/Physics2

https://en.wikibooks.org/wiki/Pythagoras_in_the_Forge

A bit of a slog apparently: https://archive.org/details/operationalmetho029814mbp

I have a physical copy of the book which I refer to from time to time:

On the holiday:

How We Do the Triduum: Good Friday, Holy Saturday

Some thoughts — Fluid surface waves and probability distributions

I had a little look at two well-understood phenomena on a recent trip: small amplitude “water” waves (really surface waves of any fluid at large enough wavelengths where viscosity can be ignored) and probability distribution evolution (I might want to relate this to barrier crossing in classical systems — what is the probability of particle crossing the barrier at a given moment of time). Hopefully, I can send the article dump this weekend.

Small amplitude waves

I’ve always liked watching bodies of water, clouds, and other natural phenomena (water waves around Kingston / Kingston Mills (the latter a detour)). I thought the simplest might be what I see .

While there are more extensive analyses on the internet (even wikipedia), say looking at the shallow water equations, it was satifisfying to look at this on my own.

A few observations:

• 3 coupled equations (horizontal velocity, pressure and surface height in integrated over depth Navier-Stokes — ignoring air — (2 equation) and continuity equation)
• advection can be dropped to study linear equations (small amplitude)
• As wave length decreases (or frequency increases), the latter (frequency or wavelength tends to a constant value — I’d need to check my notes, though because we are dealling).  That I observed constant wavelength patterns (differing depending on the puddle/slope of “rain stream”), I thought that the observeation was consistent with the phenomena (wave-like properties of surface relatively insensitve to disturbance)

Probability evolution

The second issue had two parts:

• “Deriving” the evolution of a probability distribution.
• Non-gaussian noise (e.g., Cauchy noise)

For the first, the result should look like the Fokker-Planck equation in many cases (mainly a continuity of probability density equation; change of prob density = – divergence of flux). Also check out Ito calculus. For the second issue, I think the divergence of moments needs to be handled carefuully. While I had some thoughts on based on the divergence of (make sure that a differential in random variables, position (if not a random variable), and time all scale appropriately).