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Optimal polynomial blow up range for critical wave maps

We prove that the critical Wave Maps equation with target

S^2

and origin

\R^{2+1}

admits energy class blow up solutions of the form

u(t, r) = Q(\lambda(t)r) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

is the ground state harmonic map and $\lambd ...

2015

Quantifying electron transfer reactions in biological systems: what interactions play the major role?

Various biological processes involve the conversion of energy into forms that are usable for chemical transformations and are quantum mechanical in nature. Such processes involve light absorption, excited electronic states formation, excitation energy tran ...

Nature Publishing Group2015

Polarization response of nanowires a la carte

Anna Fontcuberta i Morral, Esther Alarcon Llado, Alberto Casadei, Martin Heiss, Eleonora Russo, Francesca Amaduzzi

Thanks to their special interaction with light, semiconductor nanowires have opened new avenues in photonics, quantum optics and solar energy harvesting. One of the major challenges for their full technological deployment has been their strong polarization ...

Nature Publishing Group2015

Optimal polynomial blow up range for critical wave maps

Can Gao

We prove that the critical Wave Maps equation with target

S^2

and origin ℝ

^{2+1}

admits energy class blow up solutions of the form [ u(t, r) = Q(\lambda(t)r) + \epsilon(t, r) ] where

Q:ℝ²\rightarrow S^2

is the ground state harmonic map and $\lambda ...

EPFL2015

Visualizing Perceptual Dynamics in Architecture

Marilyne Andersen, Siobhan Francois Rockcastle

When it comes to value how magnificent buildings are experienced, most designers believe that sunlight is essential. Although architecture is a technical discipline, it lacks a consensus about what quantity and what quality of light are required to make a ...

2015

Implications of the interplay between light and dark for human health in the built environment

Marilyne Andersen, María Lovísa Ámundadóttir

24-hour cycles of light and dark are one of the most significant factors in the built environment that affect human health and wellbeing. In addition to stimulating visual responses, light induces a range of circadian, physiological and behavioral response ...

2015

Nano-optics gets practical

Hatice Altug

The advent of nanotechnology has allowed scientists to study light–matter interactions at the nanoscale. A considerable amount of fundamental knowledge has accumulated in the past two decades and the field of nano-optics may now in fact be on the cusp of d ...

Nature Publishing Group2015

Silicon nanophotonics: Good vibrations for light

Luc Thévenaz

Large light–sound interaction in nanoscale silicon wires is experimentally demonstrated, making integrated nonlinear optical devices a reality. ...

Nature Publishing Group2015

Equilibrium concentration of singlet oxygen in photoreaction of reaction center/carbon nanotube bionanocomposites

László Forró, Arnaud Magrez, Endre Horvath, Klara Hernadi

The reaction center protein is the unit in the photosynthetic organisms in which the primary events of the photoelectric energy conversion take place during photosynthesis. When the photochemistry following the excitation of the reaction center by light is ...

Wiley-V C H Verlag Gmbh2015

Demonstration of a low-frequency three-dimensional terahertz bullet with extreme brightness

Christoph Peter Hauri, Mostafa Shalaby

The brightness of a light source defines its applicability to nonlinear phenomena in science. Bright low-frequency terahertz (

2015

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Optimal polynomial blow up range for critical wave maps

Quantifying electron transfer reactions in biological systems: what interactions play the major role?

Polarization response of nanowires a la carte

Optimal polynomial blow up range for critical wave maps

Visualizing Perceptual Dynamics in Architecture

Implications of the interplay between light and dark for human health in the built environment

Nano-optics gets practical

Silicon nanophotonics: Good vibrations for light

Equilibrium concentration of singlet oxygen in photoreaction of reaction center/carbon nanotube bionanocomposites

Demonstration of a low-frequency three-dimensional terahertz bullet with extreme brightness

Optimal polynomial blow up range for critical wave maps

Quantifying electron transfer reactions in biological systems: what interactions play the major role?

Implications of the interplay between light and dark for human health in the built environment

Silicon nanophotonics: Good vibrations for light

Polarization response of nanowires a la carte

Visualizing Perceptual Dynamics in Architecture

Optimal polynomial blow up range for critical wave maps

Nano-optics gets practical

Equilibrium concentration of singlet oxygen in photoreaction of reaction center/carbon nanotube bionanocomposites

Demonstration of a low-frequency three-dimensional terahertz bullet with extreme brightness