Skip to main content
Przejdź do strony domowej Komisji Europejskiej (odnośnik otworzy się w nowym oknie)
polski pl
CORDIS - Wyniki badań wspieranych przez UE
CORDIS
Zawartość zarchiwizowana w dniu 2024-06-11

Wave propagation in heterogeneous media - spectral and scattering problems

Cel



Research objectives and content
The formalism of fractals has by now penetrated various fields of Physics. Important applications are the scattering of waves by rough interfaces and transport properties of quasi-periodic media. The present purpose is to study both problems in connection to multi-fractals. First, we will investigate the relations between the quantum motion of wave-packets and the multi-fractal properties of the energy spectrum and quantify the intermittency of the motion in terms of singularity spectrum and wavelet dimensions of the spectral mea sure. We will also study the quantum dynamics generated by random fractal spectral measures and build corresponding physical models. Secondly, we will study the propagation of waves encountering fractal obstacles. The empha sis will be put on the time-dependent aspect, for which there are untill now only few results. We will relate the time-space behaviour of the wave-packets to fractal dimensions of the scatterer and study the impact of the singularity spectrum on the intermittency of the motion.
Training content (objective, benefit and expected impact)
We aim to benefit from the experience the host institute (Center for the Study of Dynamical Systems, Como) has acquired in the study of quantum motion and anomalous diffusion. At the same time, we bring some techniques that are a strong point of the origin institute (Centre de Physique Theorique, Marseilles): wavelet and scattering theory. We hope this will lead to a fruitful collaboration.

Dziedzina nauki (EuroSciVoc)

Program(-y)

Temat(-y)

Zaproszenie do składania wniosków

Brak dostępnych danych

System finansowania

RGI - Research grants (individual fellowships)

Koordynator

Not Available
Wkład UE
Brak danych
Adres


Koszt całkowity
Brak danych