Meneveau, C. Lund, and W. Cabot A Lagrangian dynamic subgrid-scale model of turbulence. Misra, A.

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- Turbulence - Theory and Modelling (MVKN90).

Pullin A vortex-based subgrid stress model for large-eddy simulation. Fluids 9 8 Moody, L. ASME 66 8 Novikov, E.

## On the evolution of decaying isotropic turbulence | SpringerLink

Reports Ac. USSR 2 , translated in Sov. Doklady 6 7 Pao, Y. Fluids 8 6 Fluids 11 6 Papamoschou, D. AIAA Paper Patterson, C. Tilton, and M. Inghram Age of the Earth.

Science New Series Prandtl, L. Mech Nachrichten der Akad. Pullin, D. Fluids 6 5 Reynolds, O. Royal Soc. London Richardson, L.

London 97 Ricou, F. Spalding Measurements of entrainment by axisymmetrical turbulent jets. Saddoughi, S.

Please note this link is to the entire report - scroll to page for this specific report. Saddouglti, S. G and S. Veeravalli Local isotropy in turbulent boundary layers at high Reynolds number. Saffman, P. The large scale structure of homogeneous turbulence. Topics in Non-Linear Physics Ed. Zabusky, Springer-Verlag, Berlin , Schmitt, F. Slessor, M. Zhuang, and P. Dimotakis Turbulent shear-layer mixing: growth-rate compressibility scaling. Smagorinsky, J. The basic experiment.

I argue that in narrow-band systems the dominant symmetry-allowed coupling between electron density and dipole active modes implies an electron density-dependent squeezing of the phonon state which provides an attractive contribution to the electron-electron interaction, independent of the sign of the bare electron-phonon coupling and with a magnitude proportional to the degree of laser-induced phonon excitation. Reasonable excitation amplitudes lead to non-negligible attractive interactions that may cause significant transient changes in electronic properties including superconductivity.

The mechanism is generically applicable to a wide range of systems, offering a promising route to manipulating and controlling electronic phase behavior in novel materials. Twentyfirst Arnold Sommerfeld Lecture Series, This talk will present an overview of recent progress towards a solution of one of the grand-challenges of modern science: understanding the properties of interacting electrons in molecules and solids.

## AME 651 Statistical Theories of Turbulence

After an introduction to the physics I will argue our theoretical understanding of a basic model system, the two dimensional Hubbard model, has reached the level that we can say with confidence that its superconducting properties capture key aspect of the high-Tc superconductivity in copper-oxide materials. I will then summarize the current status of our extension of the methods to fully physically realistic systems, emphasizing the areas of theoretical uncertainty and the prospects for resolution. Twentyfirst Arnold Sommerfeld Lecture Series, Superconductivity, the ability of certain materials to conduct electricity with no resistance whatsoever, has fascinated scientists since its discovery by Kammerlingh-Onnes in While much has been understood, the question of predicting which materials will become superconducting, and at what temperatures, remains one of the grand challenges of modern materials theory.

This talk will outline the evolution of our understanding as the subject has progressed from its primitive beginnings through the ''bronze age'' marked by the discovery of high temperature superconductivity in copper-oxide compounds to the present-day ''iron age'' of the Fe-As based superconducting materials. The current status of the theory of the origin of superconductivity will be described. These relate the long distance behavior of different short distance theories. Twentieth Arnold Sommerfeld Lecture Series, Global symmetries and gauge symmetries have played a crucial role in physics.

## Wave Turbulence (Lecture Notes in Physics Book 825)

The idea of duality demonstrates that gauge symmetries can be emergent and might not be fundamental. During the past decades it became clear that the circle of ideas about emergent gauge symmetries and duality is central in different branches of physics including Condensed Matter Physics, Quantum Field Theory, and Quantum Gravity.

We will review these developments, which highlight the unity of physics. Twentieth Arnold Sommerfeld Lecture Series, In recent decades, physicists and astronomers have discovered two beautiful Standard Models, one for the quantum world of extremely short distances, and one for the universe as a whole. Both models have had spectacular success, but there are also strong arguments for new physics beyond these models.

In this lecture, we will review these models, their successes and their shortfalls. We will describe how experiments in the near future could point to new physics suggesting a profound conceptual revolution, which could change our view of the world. Nineteenth Arnold Sommerfeld Lecture Series, Two of the most amazing ideas in physics are the holographic principle and quantum error correction. The holographic principle asserts that all the information contained in a region of space is encoded on the boundary of the region, albeit in a highly scrambled form. Quantum error correction is the foundation of our hope that large-scale quantum computer can be operated to solve hard problems.

I will argue that these two ideas are closely related, and will describe quantum codes which realize the holographic principle. These codes provide simplified models of quantum spacetime, opening new directions in the study of quantum gravity, though many questions remain. Nineteenth Arnold Sommerfeld Lecture Series, Aside from enabling revolutionary future technologies, quantum information science is providing powerful new tools for attacking deep problems in fundamental physical science.

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In particular, the recent convergence of quantum information and quantum gravity is sparking exciting progress on some old and very hard questions. Nineteenth Arnold Sommerfeld Lecture Series, The quantum laws governing atoms and other tiny objects seem to defy common sense, and information encoded in quantum systems has weird properties that baffle our feeble human minds.

John Preskill will explain why he loves quantum entanglement, the elusive feature making quantum information fundamentally different from information in the macroscopic world. By exploiting quantum entanglement, quantum computers should be able to solve otherwise intractable problems, with far-reaching applications to cryptology, materials, and fundamental physical science.

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- Theory Colloquium: The Life and Death of Turbulence!
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Preskill is less weird than a quantum computer, and easier to understand. Thompson was ahead of his time. Genetics and Developmental Biology have since come a long way in elucidating the general and particular aspects of Morphogenesis, uncovering the key genes and molecules that underlie the process in different animals and plants. When the Reynolds number is small, the equation is mathematically nice, the non-linearities are small, and we can solve the equation. Pictures make this a lot clearer; van Dyke's Album of Fluid Motion is full of handsome ones, but short on explanation.

Turbulence yea, "fully developed turbulence", even is when this decay into confusion is complete, when there are eddies and motions on all length scales, from the largest possible in the fluid on down to the so-called "dissipation scale," which is roughly! When faced with this confusion, if not well before, we give up and turn to statistics; we begin to ask questions about the statistical properties of the flow if you will, about all possible flows we could see under given conditions. Here we can make some nice observations, and even come up with two well-confirmed empirical laws about these statistics, and endless graphs.

So what, you may ask, is the fabled "problem of turbulence"? In essence, this: what on Earth do our statistics and our equation have to do with each other? A solution to the problem of turbulence would be, more or less, a valid derivation from the Navier-Stokes equation and statements about the appropriate conditions of our measured statistics.

Physicists are very far from this at present.

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Our current closest approach stems from the work of Kolmogorov, who, by means of some statistical hypotheses about small-scale motion, was able to account for the empirical laws I mentioned. Unfortunately, no one has managed to coax the hypotheses from the Navier-Stokes equation sound familiar? So what's to do? Well, all sorts of things, including more or less direct simulations of flows by cousins of cellular automata called "lattice gasses" which is how I connect to the subject, though very vaguely.

One approach uses the vorticity the curl of the velocity field, which tells us about how the fluid swirls , since it turns out to be possible to identify some more or less simple objects in the flow, called vortex lines or vortex tubes, work out how they interact there's a Hamiltonian , and then use statistical mechanics to calculate various emergent properties which, if you use just the right approximations, and tolerate negative temperatures which are not impossible, and actually hotter than infinity gives you the Kolmogorov laws.

This could've been custom-tailored for my philosophical and methodological biases, which makes me suspicious, as do all the leaps in the approximation scheme used. For the pro-vorticity case, see Chorin; reasons for caution are discussed by Frisch, pp.

### Numéros en texte intégral

If people must find analogies for society, ecosystems, etc. Taylor [A nice scientific biography of one of the founders of modern mechanics, and of the statistical theory of turbulence; review ] Pierre Berge et al. Chorin, Vorticity and Turbulence ["This book provides an introduction to turbulence in vortex systems, and to turbulence theory for incompressible flow described in terms of the vorticity field.