last modified: May 23, 2008 / Oliver Rudzick
Fritz Haber Institute of the Max Planck Society
EU Marie Curie RTN "Universal Principles of Pattern Formation"
DFG Collaborative Research Center 555 "Complex Nonlinear Processes"
Fifth International Symposium
Engineering of Chemical Complexity
Berlin, May 25-27, 2008
Program and Organization: G. Ertl, A. S. Mikhailov
The aim of this meeting is to review current perspectives for design, manipulation and efficient control of self-organizing complex chemical systems, ranging from biotechnology and reactive nanostructures to macroscopic pattern formation in chemical reactors. Both experimental studies of such phenomena and their mathematical modeling will be discussed. Possible technological applications of self-organization phenomena shall be considered.
Invited Speakers
Download a printer-friendly version of the program (PDF, ca. 62kB).
16:00 – 20:00 Arrival and registration
8:45 Opening
Session chair: P. De Kepper
9:00
R. Kapral
(Toronto, Canada)
Twisting vortex filaments
[Abstract]
9:35
O. Steinbock
(Tallahassee, USA)
Three-dimensional wave patterns in excitable systems
[Abstract]
10:10
M. Hauser
(Magdeburg, Germany)
Manipulating scroll rings by an external electric current
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: J. Hudson
11:15
E. Bodenschatz
(Göttingen, Germany)
Interplay between symmetry breaking elements in a pattern forming system
[Abstract]
11:50
Y. Nishiura
(Sapporo, Japan)
Sensitivity of localized waves to the geometry of heterogeneity
[Abstract]
12:25 – 14:00 Lunch
Session chair: H. Yokoyama
14:00
I. Epstein
(Waltham, USA)
Cross-diffusion effects on pattern formation in reactive systems
[Abstract]
14:35
P. De Kepper
(Bordeaux, France)
Pattern formation in the Ferrocyanide-Iodate-Sulfite reaction: the role of low mobility weak acid functions in the gel reactors
[Abstract]
15:10
A. De Wit
(Brussels, Belgium)
Dynamics of A+B->C reaction fronts in the presence of buoyancy-induced convection
[Abstract]
15:45 – 16:15 Coffee break
Session chair: I. Epstein
16:15
K. Yoshikawa
(Kyoto, Japan)
Self-running droplet: emergence of directional, revolutional and pseudopodial motions
[Abstract]
16:50
M. Falcke
(Berlin, Germany)
Modelling cell motility: motion from chemistry
[Abstract]
17:25
F. Sagués
(Barcelona, Spain)
Physics of colloids: from collective assemblies to single swimmers
[Abstract]
Session chair: Y. Nishiura
9:00
P. Gaspard
(Brussels, Belgium)
Nonequilibrium chemical clocks at the nanoscale
[Abstract]
9:35
H. Yokoyama
(Tsukuba, Japan)
Collective molecular motor using liquid crystallinity: exploration into the molecular origin
[Abstract]
10:10
A. S. Mikhailov
(Berlin, Germany)
Nonlinear elastic dynamics in molecular machines
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: P. Plath
11:15
Y. Kevrekidis
(Princeton, USA)
Equation free and variable free computations for complex systems
[Abstract]
11:50
B. Fiedler
(Berlin, Germany)
Delay feedback control of single mode rotating waves:
opportunities and limitations
[Abstract]
12:25 – 14:00 Lunch
Session chair: E. Schöll
14:00
R. Imbihl
(Hannover, Germany)
Stationary patterns vs. dynamic mass transport: potassium redistribution on a catalytic surface
[Abstract]
14:35
H. H. Rotermund
(Halifax, Canada)
Putting pitting corrosion under a magnifying glass
[Abstract]
15:10
K. Krischer
(Munich, Germany)
Impact of fluctuations on oscillatory reactions on nanoelectrodes
[Abstract]
15:45 – 16:15 Coffee Break
Session chair: L. Schimansky-Geier
16:15
H. Engel
(Berlin, Germany)
Rotating excitation waves in circular domains
Abstract:
Rotating waves of chemical, electrical or neural activity
represent fascinating examples of self-organized spatio-temporal
patterns in excitable and oscillatory media. Different rotating
wave solutions as rigidly rotating spiral waves, spiral waves
pinned to a hole in the centre of a circular domain, and
slowly rotating boundary spots select their own rotation frequency.
We compute one-frequency rotating wave solutions as equilibria
in a co-rotating coordinate frame using the continuation software
AUTO. Our starting point is a pulse running on a thin annular
stripe with Neumann boundary conditions at the inner and outer
radius, r-=R-δ and r+=R+δ,
respectively (δ<<R). Increasing r+ or
decreasing r- we grow two-dimensional
rotating wave solutions by
considering the radii of the circular domain as tuneable
parameters in the continuation algorithm. From these calculations
we obtain the dependence of rotation frequency and the
characteristic shape of the rotating wave solutions on the inner
and the outer domain radius as well as on the parameters of the
underlying reaction-diffusion equations.
We find a non-monotonous dependence of the rotation period on
the domain radii and coexistence between freely rotating and
pinned spiral waves in a certain parameter range as reported
before by A. M. Pertsov, E. A. Ermakova,
and A. V. Panfilov.
Moreover, spiral waves on a circular domain reveal to be
accompanied by unstable, slowly rotating solutions localized
near the outer domain boundary. These boundary spots can be
grown from unstable pulses on a ring.
Qualitatively similar results can be obtained within a kinematic
approach that replaces the rapid stepwise change of the fast
activator variable between the quiescent and the excited value
by a linear increase. Accounting for such a boundary layer in
the activator front of the pulse results in a non-linear eikonal
equation and hysteresis in the transition between pinned and
freely rotating spiral waves. To reach quantitative agreement
between the two approaches, dispersion effects have to be
taken into account.
[close abstract]
[go to the top of the page]
16:50
M. Marek
(Prague, Czech Republic)
Reactors with storage of components on catalyst surface for exhaust gases of cars
[Abstract]
17:25
C. Beta
(Potsdam, Germany)
Pattern formation in chemotaxis and cell motility
[Abstract]
18:00 – 18:30 Poster session
19:00 Dinner
Session chair: P. Gaspard
9:00
Y. Kuramoto
(Kyoto, Japan)
Two-step phase reduction for large populations of oscillators with noise
[Abstract]
9:35
J. Hudson
(Charlottesville, USA)
Engineering complex dynamical structures in populations of chemical oscillators
[Abstract]
10:10
P. G. Sørensen
(Copenhagen, Denmark)
Dynamical quorum sensing in yeast cells
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: Y. Kuramoto
11:15
K. Showalter
(Morgantown, USA)
Population density dependent behavior of discrete chemical oscillators
[Abstract]
11:50
M. Bär
(Berlin, Germany)
Effective medium theory and percolation threshold for front propagation in heterogeneous reaction-diffusion systems
[Abstract]
12:25
G. Ertl
(Berlin, Germany)
Self-organization in surface reactions - how it started
13:00 Closing
Posters will be presented in the Ballsaal
last modified: May 23, 2008 / Oliver Rudzick