Inhalt des Dokuments
Highlights
- Top: Sketch of a generic oscillatory system subject to feedback. Bottom: Feedback strength and feedback delay time dependence of the real and imaginary parts of the dominant Floquet exponents of a Stuart-Landau system with two feedback terms.
[1]
- © Copyright??
Suppression of noise-induced modulations in multidelay systems
Many physical systems involve time-delayed feedback or coupling. In
such delay-systems noise can give rise to undesirable oscillations at
frequencies resonant to the delay times. We investigate how an
additional feedback term can suppress noise-induced modulations in
delay-systems with self-feedback that exhibit deterministic
oscillatory dynamics. For the prototypical example of a Stuart-Landau
oscillator we derive an equation which describes how the stability of
the oscillating solutions depends on the feedback delay times. The
stability of the solutions is related to the noise-induced
modulations, hence this equation can be used to find feedback
conditions for which the noise-induced modulations are reduced. For
more complex systems it is sometimes not possible to derive an
equivalent analytic expression, however, we show that under certain
conditions the dependence on the feedback delays time, of the
stability of various oscillatory systems, is ubiquitous.
A
real world example for which this work is of relevance is a
semiconductor passively mode-locked laser. Such a laser produces a
train of light pulses and for applications it is generally desired
that the pulses arrive at highly regular time intervals. However, the
regularity of the pulse trains is invariably diminished by noise
sources within the laser. With one feedback loop the regularity of the
pulse trains can be improved on long time scales, however this also
introduces a noise-induced modulation of the time between consecutive
pulses with a period given approximately by the feedback delay time.
By adding a second feedback loop and using the expression we found for
the delay time dependence of the stability of the pulsed solutions,
the length of the second feedback loop can be chosen such that the
noise-induced modulations are suppression, thereby improving the
temporal regularity of the pulse train.
L . C. Jaurigue, E. Schöll, and K. Lüdge,
Suppression of Noise-Induced Modulations in Multidelay
Systems,
Phys. Rev. Lett. 117, 154101
(2016) [2].
______________________________________________________________________
- Left - The ancient idea of the centrifugal governor (top, from Wikipedia) was transferred to modern electronic nano-devices (bottom). Right - Whereas without control the shot noise (dashed curve) grows indefinitely in time, with control it saturates and reaches a constant value inversely proportional to the feedback strength. Experimental results (dotted lines) and theory (solid lines) correspond perfectly. Note the logarithmic scaling for the plot.
[3]
- © Copyright??
Strong suppression of shot noise in a
feedback-controlled single-electron transistor
In
ordinary electric devices there are so many electrons flowing through
the cable that it suffices to characterize only their average behavior
by a single quantity: the electric current. But due to the enormous
progress in nanotechnology it is now possible to detect the motion of
single electrons in very small devices. At this resolution, however,
it does not suffice to characterize the device simply based on its
average current; in contrast, the transport of electrons can only be
described probabilistically. The dominant contribution to this
inherent statistical nature is known as ”shot noise”, which limits
our ability to build reliable and easily predictable nanotechnological
devices.
We succeeded for the first time to control and almost
completely suppress the shot noise due to a real-time feedback loop
applied to the system. The basic idea behind this experiment can be
traced back to an ancient machine devised by James Watt known as the
centrifugal governor. The centrifugal governor controls the speed of a
heat engine by self-regulating the amount of fuel supplied with
respect to a fixed reference value. Consequently, it is possible to
stabilize the motion of the engine independent of the environmental
conditions, i.e., the effect of inevitable noise in the fuel supply is
suppressed to a minimum. An analogous effect was now predicted and
experimentally confirmed in a collaboration of researchers from the
GRK and an experimental group from the university of Hannover.
T. Wagner, P. Strasberg, J. C. Bayer, E. P.
Rugeramigabo, T. Brandes, and R. J. Haug,
Strong suppression
of shot noise in a feedback-controlled single-electron
transistor,
Nat. Nanotechnol. 12, (2016)
[4].
______________________________________________________________________
- Distribution of active Brownian particles (ABPs) and and run-and-tumble particles (RTPs) in a Matryoshka-like maze in the steady state. ABPs accumulate at the rim, whereas RTP are encountered all through the maze.
[5]
- © Copyright??
Active Brownian particles and run-and-tumble particles separate inside a maze
Microorganisms as well as artificial microswimmers need to navigate
through confined environments. Two important models for microswimmers
exist: active Brownian particles (ABPs) move with constant speed and
continuously change their directions, while for run-and-tumble
particles (RTPs) straight runs are interrupted by abrupt changes in
direction.
We numerically study how both types of swimmers behave
in various two-dimensional mazes. We demonstrate that ABPs can be
separated from RTPs by means of geometrical confinement. Especially
Matryoshka-like mazes with nested circular shells are efficient
filters: ABPs quickly escape the center of the maze and accumulate at
the outer rim. In contrast, RTBs can access the inner regions when
starting from the fringe of the maze and are more evenly spread across
the maze in the steady state. We corroborate this finding using a rate
theory. Our results suggest that Matryoshka-like mazes separate
different types of active particles from each other, which has
potential technological and biomedical applications.
M. Khatami, K. Wolff, O. Pohl, M. R. Ejtehadi, and H. Stark,
Active Brownian particles and run-and-tumble particles separate
inside a maze,
Sci. Rep. 6, 37670 (2016) [6].
______________________________________________________________________
- Emergence of a rotational collective motion in a circular confined domain. In the red region, the adhesive bond formation to the substrate is reduced. Green denotes the concentration of adhesion sites, blue measures the absolute value of actin orientation
[7]
- © Copyright??
Collisions of deformable cells lead to collective migration
Collective migration of eukaryotic cells plays a fundamental role
in tissue growth, wound healing and immune response. We present a
model based on reaction-diffusion equations to describe the movement
of many self-organized, interacting cells crawling on a layer of
substrate. The model accounts for the 'propulsion engine' of each cell
in form of acto-myosin dynamics, as well as for adhesion of cells to
the substrate and to each other. It predicts that collective cell
migration emerges spontaneously as a result of inelastic collisions
between neighboring cells: collisions lead to a mutual alignment of
the cell velocities and to the formation of coherently-moving
multi-cellular clusters. As a result, cells migrate collectively in
the same direction in unbounded domains or perform concerted rotation
inside a circular domain.
J. Löber, F. Ziebert, and I. S.
Aranson,
Collisions of deformable cells lead to collective
migration,
Sci. Rep. 5, 9172 (2015) [8].
______________________________________________________________________
2019
Cooperative efficiency boost for quantum heat engines,
arXiv:1809.02564 [9]
Mutual coupling and synchronization of optically coupled quantum-dot micropillar lasers at ultra-low light levels,
arXiv:1808.01483 [10]
N. Martensen and G. Schaller,
Transmission from reverse
reaction coordinate mappings,
arXiv:1809.10529 [11]
A. Nazir and G. Schaller,
The reaction coordinate mapping
in quantum thermodynamics,
in “Thermodynamics in the
quantum regime - Recent Progress and Outlook” edited by F. Binder,
L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, Springer
International Publishing (2019). arxiv.org:1805.08307
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H. Reinken, S. Heidenreich, M. Bär, and S. H. L. Klapp,
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arXiv:1809.07134 [13]
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-- Front Cover
--
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