Book of the week: M. Kaku. Hyperspace
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Hydrodynamics

Vorticity generation in cosmological perturbation theory

Adam Christopherson is a PhD student at Queen Mary, U. of London working with Karim Malik on cosmological perturbation theory. Dmitry.

In this blog post, I will summarize recent work on vorticity generation in cosmological perturbation theory, undertaken by Karim Malik, David Matravers and myself. The main result of the paper this is based on, arxiv:0904.0940, is that at second order in perturbation theory, vorticity generation is sourced by entropy gradients.

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A bound on the speed of sound from holography?

Aleksey Cherman This post is authored by Aleksey Cherman (on the left) and Abhinav Nellore (on the right). Aleksey is a graduate student in the nuclear theory group at the University of Maryland, College Park, working with Tom Cohen, and Abhi is a graduate student in Steve Gubser’s group at Princeton. Dmitry. Abhi Nellore

We all know that sound travels at about 343 m/s in air, and much faster than that in many solids. But just how much faster could sound travel if given the chance?  Could there be a medium in which the speed of sound can approach the speed of light?  Or might there be some more stringent fundamental bound on the speed of sound?

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357. Vortex line representation. Coulomb interaction of vortex lines

After brief introduction into vortex line representation we are probably ready to discuss the interaction of vortex lines between each other. But before I proceed to the actual derivation, let me focus for a bit on not so terribly popular (but powerful) formulation of ideal hydrodynamics – Hamiltonian formulation.

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354. Vortex line representation. Clebsch variables

Let us continue our brief discussion of behavior of the vorticity field in the Eulerian flow.

(and that’s how vortex lines look like in reality… as if you wouldn’t know :-) )

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353. Vortex line representation. Cauchy invariant

Several days ago I’ve promised in comments to discuss dynamics of vortex lines in turbulent flows, today is probably a good day to start. And the natural starting point of course is the Kelvin theorem and Cauchy invariant.

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347. Numerical simulation of vortices: video of the day

A video by New Scientist magazine featuring some really nice simulations of developed turbulence in the presence of vorticity field.


345. Lagrangian turbulence: video of the day

A simulation by Guido Bofetta, U. of Torino. Recall that Lagrangian description of hydrodynamics is when you pick a liquid particle and keep track of its motion. Here it is shown how particles are transported by a turbulent flow in the presence of a vortex.

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330. Some properties of the Burgers dynamics with Brownian or white-noise initial velocity

Patrick Valageas Patrick Valageas is a permanent researcher at the IPhT (Theoretical Physics department) of CEA, Saclay. His interests include turbulence, observational cosmology (LSS formation in particular) and astrophysics. Dmitry.

I would like to thank Dmitry for giving me the opportunity to present two recent papers of mine (arXiv:0810.4332 and arXiv:0903.0956), on the Burgers equation, from the point of view of a cosmologist. They consider the one-dimensional Burgers dynamics for Brownian and white-noise initial velocity, and expand some previous results on the probability distributions of velocity and Lagrangian increments, as well as on the distribution of the density and the shock mass function.

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321. Holographic hydrodynamics

Miguel PaulosMiguel Paulos is a PhD student at DAMTP, U. of Cambridge working on non-equilibrium AdS/CFT. Dmitry.

In this post I will describe recent work done by myself, Robert Myers, and Aninda Sinha to understand strongly coupled plasmas with a finite chemical potential. For more details and full references see 0903.2834.

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315. Turbulence: order and disorder in turbulent flow

Let us continue our short excursion into physics of developed turbulence (I hope that you don’t mind, if you do – please let me know :-) ) Last time we have discussed technicalities related to averaging and statistics of the turbulent flow, today I would like to get back to foundations and discuss a bit various structures typically seen in the turbulent flow. This way we will understand better which features our future complete theory of turbulence will have to explain :-)

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248. Nature is not scale-free

Click on the image in order to see larger version.

Nature is not scale free

With thanks to @hugan.


247. Physics of turbulence: four puzzles

Before starting to discuss theories and models describing phenomena of weak and developed turbulence in fluids, plasmas etc., etc., let us first recall why exactly theoretical physicists were so unsuccessful so far in understanding turbulence at the quantitative level. In order not to make this post too long :-) , I am going to list only four main puzzles which, I hope, will show what is the heart of the problem.

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243. Turbulence: brief introduction into phenomenon

About a week ago I have listed top ten open problems in physics. If you say A, you are naturally supposed to say B (especially, if readers ask you :-) ), so, I guess, I will have to discuss each problem from the list in more details. I would like to start with the problem N3 most compelling to me at the present time – the physics of developed turbulence. In order not to make the post too long, I am not going to discuss various models and theories of turbulence today – and will focus instead just on nature of the phenomenon.

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230. Video of the day: viscosity or the arrow of time is reversible

A lot of fun to watch ;-) CP is clearly conserved in this experiment LOL

LM explanation of the effect: The reason why it looks counterintuitive is the people normally confuse chaotic motion and organized motion.

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226. Top ten open problems in physics

What is the ultimate purpose of my work as theoretical physicist and, if you want, my existence itself? Is it serving the community of other physicists like organizing and participating in conferences? Nop. Then, maybe teaching future physicists in the University, encourage young people to enter the exciting field of physics? Not quite. Writing good papers?  Ei.  Maybe blogging? Sorry but nein. I think… the ultimate purpose of my work is solving unsolved mysteries in physics. I am afraid, this and only this makes my work enjoyable for me, makes it fun. For the sake of future reference, let me enlist here the most important (from my point of view), hard and interesting unsolved problems in physics.

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