Arnaldo Rodriguez-Gonzalez

@Arnaldo_AGITF

Microhydrodynamicist and Ph.D. candidate in Theoretical & Applied Mechanics at Cornell. 🇵🇷 I ask too many questions and answer too few. Check out my blog ⬇️!

Ithaca, NY
Vrijeme pridruživanja: lipanj 2018.

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  1. Oh, and if you're curious about the animation's meaning, check out the report here: It's curious to look at everything I would've done differently (a.k.a. the /formatting/), but it's also nice to see how much I'd do the same. Guess I haven't changed much!

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  2. I've said it before, but the SIST program () was the gateway by which I could dedicate myself professionally to science. Do research in undergrad, and then pay it forward by hosting junior scientists as you climb up the career ladder!

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  3. Got a nice surprise today from Google Scholar—the first scientific document I ever wrote, a technical report on accelerator instabilities for 's SIST program, got cited! It was also the first time I ever made a scientific animation. Look at that thermal instability go!

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  4. You can get a sense of what nonlinearity does to the hopping "rules" by looking at where a dense group of points go after about ~15 hops forward/backward for varying k. (This is technically HW for 's dynamical systems course—it's tough to hand in a GIF in person!)

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  5. The homoclinic tangle itself is made up of all the points that eventually approach (1,0) as they hop, and the ones that eventually approach (1,0) if they had started hopping in reverse. Here's what it (approximately) looks like. Weird, isn't it?

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  6. Eventually, they'll all fly out to infinity, but at differing times; and how/when that occurs is very sensitive to their starting points. That's called transient chaos! It's all thanks to the "rule" causing those goofy patterns near (1,0)—that's (part of) the eponymous tangle.

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  7. Another class-inspired animation; meet the homoclinic tangle! A rainbow of closely packed points hop on the plane according to a simple rule. As they hop, they spread out, and their hopping patterns get more & more different to their neighbors'—a classic symptom of chaos.

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  8. Today's asymptotics class inspired this wonderful example of Carrier's rule; "divergent series converge faster than convergent series because they don't have to converge." (Credit to for this great example of a pseudoconvergent series!)

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  9. A question I answered made the network "hot" list on StackExchange, so in case you're wondering—here's why the stream of water from your sink gets narrower as it falls (and I make a solid prediction for the shape, IMO!)

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  10. Here's how dust particles in a liquid like water react to an object steadily moving within that fluid. Amazingly, this behavior is universal—*any* object inside a water-like fluid will cause this disturbance in regions far from the object as it moves!

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  11. proslijedio/la je Tweet
    17. sij

    . undergraduates, if you're interested in designing, constructing, and presenting exhibits for the Physics Bus () please check out PHYS 4500 this Spring!

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  12. Now that summer's coming "soon", I have a moral obligation to tell any undergrads looking for research internships to visit this site: It was responsible for 3/4 internships I did as an undergrad—I can't tell you how invaluable it is!

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  13. It’s very bitter this time around to leave Puerto Rico for the new semester—especially since I’m leaving friends & family to deal with the horrible earthquakes on the island these last few days. Please consider donating to local aid orgs; we need all the help we can get.

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  14. proslijedio/la je Tweet
    6. sij

    “Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals.” – Stanislaw Ulam

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  15. Me: I love being home for the holidays, now I don’t have to worry about people getting my name wrong all the time! The bakery next door:

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  16. 6+ months of writing and a slim-ish textbook later, my Commentary on Fluid Mechanics is finally done. I'm happy I got the opportunity to share my perspective on intro fluid mechanics, and hopefully future students/enthusiasts find it helpful!

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  17. Today is bittersweet; after a long day of answering questions, my last office hours for introductory fluid mechanics are over! I had such a blast this semester teaching my students about fluids and how things move—I can’t wait for my next teaching adventure. – mjesto: Thurston Hall

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  18. Some neat science—the "blink" in the droplet is a chemical compound losing its electrons. Over time, it'll slowly get them back, and suddenly lose them again! (The droplet is about as big as a mote of dust.)

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  19. This week, I'm talking about flow near immersed objects. Nearly no one talks about why all those crazy paradoxes show up for creeping flow in intro fluids, so I address it here—it's all about the flow at infinity!

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  20. The video is choppy and faint, but I finally spotted an oxidation wave in a tube the size of a human hair! I hadn't seen it in other tubes, so I was scared I was losing it in the noise—turns out the other tubes' chemistry was suppressing the reaction. Boo hydrocarbons

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