DFG-Sonderforschungsbereich 555 "Komplexe Nichtlineare Prozesse"
Fritz-Haber-Institut der Max-Planck-Gesellschaft, Max-Delbrück-Centrum für molekulare Medizin Berlin, Otto-von-Guericke-Universität Magdeburg, Physikalisch-Technische Bundesanstalt, Technische Universität Berlin
Seminar
"Complex Nonlinear Processes
in Chemistry and Biology"
Honorary Chairman: Gerhard Ertl
Organizers: | M. Bär, H. Engel, M. Falcke, M. Hauser, A. S. Mikhailov, P. Plath, H. Stark |
Address: | Richard-Willstätter-Haus, Faradayweg 10, 14195 Berlin-Dahlem. (Click here for a description how to get there.) |
For information please contact Oliver Rudzick, Tel. (030) 8413 5300, rudzick@fhi-berlin.mpg.de.
Sergio Alonso
(Physikalisch-Technische Bundesanstalt, Berlin)
Effective medium theory for heterogeneous reaction-diffusion systems
[Abstract]
Tetsuo Ueda
(Research Institute for Electronic Science, Hokkaido University, Japan)
Nonlinear processes in Physarum:
Towards an understanding of the cellular behavioral intelligence
[Abstract]
Alain Karma
(Department of Physics, Northeastern University, Boston, USA)
Spatiotemporal patterns of voltage
and calcium signaling in heart cells and tissue
[Abstract]
Alexander V. Panfilov
(Department of Theoretical Biology, Utrecht University, The Netherlands)
Modeling mechano-electric feedback in the heart using reaction-diffusion mechanics systems [Abstract]
Karsten Peters
(Institut für Wirtschaft und Verkehr, Technische Universität Dresden)
Structural properties of functional networks in biological and technical systems
[Abstract]
Takao Ohta
(Department of Physics, Kyoto University, Japan)
External forcing and feedback control
of nonlinear dissipative waves
[Abstract]
Frank Spahn
(LS Nichtlineare Dynamik, Institut für Physik und Astronomie, Universität Potsdam)
What tell "propellers" in Saturns rings about planet formation?
Abstract:
We investigate the action of gravitational perturbers in thin cold astrophysical discs. The
model includes viscous diffusion of the disc matter and gravitational scattering by the
perturber as counteracting processes. Two types of density structures are found, depending
on the mass of the perturbing body and on the amount of momentum transport in the disc. A
gap around the whole circumference of the disc is opened if the perturber is more massive
than a certain threshold. Alternatively, a local S-shaped density modulation is generated that
we call a "propeller". Beyond the perturber's mass, the kinematic viscosity of the disk
comprises the second crucial parameter of the model which describes the transport properties
of the disc material. Analytical and numerical solutions provide the characteristic spatial extent
of the "propeller" to depend on the mass of the perturber and the disk-viscosity.
Firstly, these results are applied to dense planetary rings perturbed by an embedded moonlet
where our inspection of the Cassini-imaging data revealed 12 "propellers" in the 100-metres size
range to reside in Saturn's A ring. Further analysis of the Cassini Imaging data (ISS) has led to
meanwhile about 150 "propeller" features in the middle A ring. Interestingly - these moonlets
jostle in three narrow radial bands in the A ring. From these observations we conclude about
a few million such 100m objects - but none larger than 500 metres - to exist in the outer rings
of Saturn. This, in turn, has crucial consequences for the origin of the rings.
The second application concerns gas-dust discs around a protostar perturbed by a
protoplanet - practically the "nursery of a planet". Again either gaps or "propeller"-shaped
structures can be expected to have formed within the disk. With increasing resolution of modern
telescopes the chance might appear in future to be witness of a planetary growth by studying
structures in circum-stellar disks.
Download the seminar program as PDF (ca. 99 kB)
last modified: January 15, 2009 / Oliver Rudzick