Fritz-Haber-Institut der Max-Planck-Gesellschaft
DFG-Sonderforschungsbereich 555 "Komplexe Nichtlineare
Prozesse"
Fourth International Symposium
Engineering of Chemical Complexity
Berlin, June 7-9, 2006
Program and Organization: G. Ertl, A. S. Mikhailov, H. H. Rotermund
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. 83kB).
16:00 – 20:00 Arrival and registration
8:45 Opening: G. Ertl
Session chair: P. De Kepper
9:00
R. Kapral
(Toronto, Canada)
Geometrical effects on spiral defect dynamics
[Abstract]
9:35
Y. Kuramoto
(Sapporo, Japan)
Noise-induced chemical turbulence
Abstract:
External noise applied to dynamical systems generally changes their effective dynamics.
It may then be expected that the resulting dynamics becomes simpler because
the noise would smear out the fine structure of the original dynamics.
We will show a counter-example to this anticipation for quasi-continuous fields of
coupled
limit-cycle oscillators. By introducing additive Gaussian noise which
is delta-correlated in space and time, turbulent behavior with amplitude far larger
than the noise level arises out of the otherwise perfectly coherent oscillations.
The mathematical model analyzed is a system of non-locally coupled phase
oscillators. While the non-locality in coupling is necessary for an analytical
formulation based on the mean-field theory, it remains still unclear
whether or not the same assumption is also necessary for this
counter-intuitive behavior to occur.
Our theory makes full use of the two representative methods of
reduction, namely the phase reduction and the center-manifold reduction.
They are applied to a non-linear functional Fokker-Planck equation, i.e.,
a deterministic evolution equation for the space-time dependent number
density of the oscillators having a given value of phase.
It is pointed out that our phase reduction theory bears a strong resemblance
with the classical theory of irreversible statistical mechanics in which
hydrodynamic equations are derived from the Boltzmann kinetic equation.
Correspondingly with the hydrodynamics equations, we obtain a non-linear
phase diffusion equation where the “phase” is no longer the oscillators’ phase
but the phase of the drifting number density function. The phase diffusion
coefficient turns out negative in a certain domain of parameters implying phase
turbulence.
The center-manifold reduction is applied to the situation where
the trivial constant solution of our non-linear Fokker-Planck equation
becomes unstable and starts to oscillate. Slightly above this
bifurcation point, the Benjamin-Feir threshold is confirmed to exist,
implying again the occurrence of turbulence.
The results obtained from these asymptotic methods valid in two extreme
situations are interpolated by constructing a global phase diagram numerically.
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10:10
J. L. Hudson
(Virginia University, USA)
Dynamical order and complexity in populations of electrochemical oscillators
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: R. Kapral
11:15
I. R. Epstein
(Waltham, USA)
Localized structures in reaction-diffusion systems
[Abstract]
11:50
H. Kitahata
(Kyoto, Japan)
Spontaneous motion of a droplet driven by chemical potential or photon flux
[Abstract]
12:25 – 14:00 Lunch
Session chair: N. Jaeger
14:00
P. De Kepper
(Bordeaux, France)
The Landolt reaction: Stationary and oscillating fronts in an open spatial reactor with
conical geometry
14:35
A. De Wit
(Brussels, Belgium)
Hydrodynamic instability of autocatalytic reaction fronts
[Abstract]
15:10
O. Steinbock
(Tallahassee, USA)
Three-dimensional wave structures in excitable media
15:45 – 16:15 Coffee break
Session chair: M. Marek
16:15
K. Showalter
(Morgantown, USA)
Collective behavior in addressable excitable media
[Abstract]
16:50
H. Engel
(Berlin, Germany)
Feedback-controlled motion of a spiral wave core along a desired trajectory in an
excitable medium
[Abstract]
Session chair: K. Showalter
9:00
M. Bär
(Berlin, Germany)
Effective models and homogenization in reaction-diffusion processes: from tunable
pattern formation to realistic heart modeling
[Abstract]
9:35
U. Steiner
(Cambridge, UK)
Structure formation in organic-inorganic hybrid materials
10:10
Y. Yokoyama
(Tsukuba, Japan)
Morphology and dynamics of microscopic bubbles in liquid crystals
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: Y. Kevrekidis
11:15
E. Bodenschatz
(Göttingen, Germany)
Spatially forced patterns and hexaroll chaos
[Abstract]
11:50
R. Ismagilov
(Chicago, USA)
Using microfluidics and modular mechanism to understand spatiotemporal dynamics
of complex reaction networks
[Abstract]
12:25 – 14:00 Lunch
Session chair: Y. Nishiura
14:00
Q. Tran-Cong
(Kyoto, Japan)
Reaction-induced hierarchical structures in multiphase polymer materials
14:35
F. Sagués
(Barcelona, Spain)
Langmuir monolayers: textures, flows and dynamic patterns
[Abstract]
15:10
M. Bonn
(Amsterdam, Netherlands)
Site-dependent surface reactivity investigated using nanostructured surfaces
[Abstract]
15:45 – 16:15 Coffee Break
Session chair: J. Hudson
16:15
R. Imbihl
(Hannover, Germany)
Pulses transporting potassium on a Rh(110) surface
16:50
D. Luss
(Houston, USA)
What causes temperature oscillations during CO oxidation in packed bed reactors
17:25
J. Lauterbach
(Newark, USA)
Local microdosing as means to control a nonlinear surface reaction
[Abstract]
19:00 Concert by
Bastian Schäfer
(Berliner Philharmoniker, First Violinist)
Matthew Hunter (Berliner Philharmoniker, Violist)
1. Georg Friedrich Händel, Chaconne in G Major
2. Wolfgang Amadeus Mozart, Duo KV 423, for Violin and Viola
Allegro
Adagio
Rondeau
(the concert takes place in the Ballsaal)
19:30 Dinner
Session chair: E. Bodenschatz
9:00
Y. Nishiura
(Sapporo, Japan)
Entropy and sensitivity of particle patterns in dissipative systems
[Abstract]
9:35
B. Fiedler
(Berlin, Germany)
Kinematics of forced meandering and drifting spirals
10:10
Y. Kevrekidis
(Princeton, USA)
Some examples of coarse-grained computation in complex systems
[Abstract]
10:45 – 11:15 Coffee Break
Session chair: G. Ertl
11:15
M. Marek
(Prague, Czech Republic)
Nonlinear dynamics of forced catalytic mufflers
[Abstract]
11:50
K. Krischer
(München, Germany)
Instabilities and pattern formation during electro-oxidation of H2-CO mixtures in a
fuel cell relevant system
[Abstract]
12:25
M. Falcke
(Berlin, Germany)
By chance or by the clock: How does intracellular calcium oscillate?
13:00
Y. Kuramoto
(Sapporo, Japan)
Early days of the research on coupled oscillators
13:30 Closing
Posters will be presented in the Ballsaal
