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Introduction
Invited speakers and their lecture Program Location Organizing Committee Scientific Committee Registration Deadlines Travel information Accomodations Participants |
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Introduction
Invited speakers and their lecture Program Location Organizing Committee Scientific Committee Registration Deadlines Travel information Accomodations Participants |
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Goal:
The objective of this school is to summarise the main points and techniques used in each domain to treat a vortex. A vortex can appear as a dynamical object or as a topological structure that helps characterising a process.
In fluid mechanics, coherent structures usually in the form of vorticity filaments are central dynamical objects to understand most fluid flows and particularly turbulent ones. In superfluids as well as in Bose-Einstein condensates, Vortex-like objects are close to those found in fluid mechanics. Other domains of condensed Matter Physics uses the vortex concept (smectic state in solids). In linear wave problems (Optics, Quantum Mechanics), Vortex-like objects are useful to analyse the wave field e.g. to characterise the optical vortex distributions in quantum chaos. In non-linear optics, recent studies have considered the non-linear Aharonov Bohm scattering by optical vortices. In general relativity, black holes can be viewed as Vortex-like objects (see the acoustic analogy to emulate in laboratory Hawking radiation).
In all these examples, Vortex-like objects are present as well as the notions of circulation, singularity, topological accident. These strong analogies make it appropriate, to put together researchers of all these scientific communities usually far enough from each other, in a single summer school which will make a review of these Vortex-like objects.
Main axis:
a) Coherent structure in complex systems (Turbulence, ...)
b) Vortex as a dynamical object
c) Topological defect and vortex of a wave phase
d) Action of a vortex on a wave
Main lecturers:
Michael Berry and Mark Dennis, Optical phase vortices and polarization singularities
Lecture: See CD
Keith Moffatt, Vortices in Fluid Mechanics
Lecture: Moffatt-1.pdf, Moffatt-2.pdf, Moffatt-3.pdf
Yves Pomeau, Vortices in dilute and condensed matter
Lecture: Pomeau.pdf
Other lecturers:
Etienne Guyon, Introduction
Lecture: Guyon.pdf
Marie Farge, Extraction of vortices in 2D and 3D turbulent flows
Lecture: Farge.pdf
Alexander Fetter, Vortices in dilute Bose-Einstein condensates
Lecture: Fetter-1.pdf, Fetter-2.pdf, Fetter-3.pdf
Michael katanaev, Geometric theory of defects in solids
Lecture: Katanaev.pdf
Yuri Kivshar, Optical Vortices and Vortex Solitons
Lecture: Kivshar-1.pdf, Kivshar-2.pdf
Fernando Lund, Waves - Singularities interaction
Lecture: Lund-1.pdf, Lund-2.pdf
Sergey Nazarenko, Interaction of waves and vortices in classical and quantum fluids
Lecture: Nazarenko.pdf
Germain Rousseaux & Etienne Guyon, Maxwell equation and Fluid Mechanics
Lecture: Rousseaux.pdf
Maurice Rossi, Vortex stability in fluid mechanics
Lecture: Rossi-1.pdf, Rossi-2.pdf
Petr Seba, Quantum vortices in mezoscopic transport
Lecture: Seba.pdf
Edouard Sonin, Superfluid vortex dynamics: from a single vortex to collective vortex-lattice modes
Lecture: Sonin.pdf
Hans-Juergen Stockmann, Currents and vortices in open microwave billiards
Lecture: Stockmann-1.pdf, Stockmann-2.pdf, Stockmann-3.pdf
GertJan Van Heijst, Vortices in rotating fluids, vortices in stratified fluids, quasi-2D turbulence
Lecture: Van-Heijst-1.pdf, Van-Heijst-2.pdf
Matt Visser, Vortex flow in the acoustic analogue of gravity
Lecture: Visser-1.pdf, Visser-2.pdf, Visser-3.pdf
Program
The summer school will be held in the Institut d'Etudes Scientifiques de Cargèse, an Institute specially constructed for this type of meetings. It is located close to the beach at walking distance (20 min. via the main road, 15 min. via a 'goat path') from the village of Cargèse.
Lunch for all participants will be served at the Institute (excepted during the weekend).
Philippe Petitjeans (PMMH - ESPCI)
Agnès Maurel (LOA - ESPCI)
Vincent Pagneux (LAUM - Le Mans)All e-mail should be sent to vortex@pmmh.espci.fr
(e-mail are strongly preferred to postal mail or Fax)
Address:
Philippe Petitjeans, LPMMH - ESPCI
10, rue Vauquelin
75231 Paris Cedex 05
France
Tel: (33) 1 40 79 44 95
Fax: (33) 1 40 79 45 23
Etienne Guyon (ESPCI)
Agnès Maurel (ESPCI)
Keith Moffatt (DAMPT, Cambridge)
Vincent Pagneux (LAUM, Le Mans)
Philippe Petitjeans (ESPCI)
Please fill the form and sent it back by e-mail or fax : pre-registration form (Word) , pre-registration form (pdf)
* Registration still possible
Because of the other summer schools before and after this one, it is not possible to come before or to stay after the meeting (or at your own organization). You should arrive monday 5th july morning, and leave saturday 17th july. Ajaccio can be reached by plane from Paris, Marseille or Nice, and by boat from Marseille, Nice or Genova.
Be carreful: the school starts at the same time than the big rush for summer holidays in France. It may be difficult to get a raisonnable price for your flight/boat to Ajaccio if you wait too much.
The institute is located on the seashore of the island of Corsica, 50 km north of Ajaccio, 2 km south of Cargèse, a pleasant village of considerable charm and historic interest.
If enough participants arrive at Ajaccio airport monday 5th july morning, transport by bus from and to the Ajaccio airport will be organized. Further information will be available on this site. Otherwise, you will have to go to Cargèse by yourself.
There are regular bus transfers from Ajaccio road station to Cargèse twice a day (except on sundays and july 14th).
Ajaccio to Cargèse: 8:45 and 16:00
Cargèse to Ajaccio: 8:45 and 15:30
The road station, which is also the maritime station, can be reached with shuttle from the airport. Ajaccio road station phone number : (33) (0)4 95 51 55 45.
A taxi can be booked through the Institut at the rate of 80 euros (95 euros for early, late and non working day transfers).
Car rental at preferential rates is available through the Institut.
If you drive to Cargese, from Ajaccio, follow the direction "Calvi par la côte" (or "Calvi" when missing).
Housing, for the duration of the course only, will be arranged by the staff of the Institute following, as much as possible, your preferences.
* Shared room in the Institute or in the village: 26 Euros per night
* Individual room in the Institute or in the village: 38 Euros per night
* Appartment for a couple in the village: 66 Euros per night
* Appartment for a family in the village: 77 Euros per night
* Camping in the Institute: 3.50 Euros per night (Showers etc. are available. You have to bring your own camping equipment.)
A mail will be sent to all participant to ask for preferences. Please, do not send any request concerning the housing before that.
Lunch for all participants will be served at the Institute (excepted during the weekend): 9.40 Euros per lunch (5,50 for children)
List of Participants
