Related Experiment Video
Updated: Apr 5, 2026
05:04
Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
Published on: June 13, 2023
2.6K
Anderson attractors in active arrays.
Tetyana V Laptyeva1, Andrey A Tikhomirov2, Oleg I Kanakov2
1Lobachevsky State University of Nizhny Novgorod, Theory of Control and Dynamical Systems Department, Nizhny Novgorod, 603950, Russia.
Scientific Reports
|August 26, 2015
Summary
In nonlinear disordered systems with energy pumping and dissipation, specific excitation thresholds lead to stable multi-peak patterns called Anderson attractors. These findings advance understanding of wave localization phenomena.
Area of Science:
- Nonlinear physics
- Wave phenomena
- Condensed matter physics
Background:
- Spatial disorder in linear media causes Anderson localization.
- Nonlinearity in such systems leads to wave diffusion.
- Previous studies often focused on dissipationless systems.
Purpose of the Study:
- Investigate nonlinear disordered systems with dissipation and energy pumping.
- Explore the behavior of Anderson modes under these conditions.
- Identify conditions for novel dynamical regimes.
Main Methods:
- Analysis of the Ginsburg-Landau lattice model.
- Studying Anderson modes and their excitation thresholds.
- Investigating the role of pumping strength, nonlinearity, and dissipation.
Main Results:
- Anderson modes in the disordered Ginsburg-Landau lattice show excitation thresholds.
- Above threshold, a stable multi-peak pattern, an Anderson attractor, emerges.
- This attractor results from pumping, nonlinearity, and dissipation.
Conclusions:
- Anderson attractors represent a new dynamical regime in nonlinear disordered systems.
- These attractors are stabilized by a combination of factors.
- Potential experimental realization in polariton condensates and waveguide arrays.
Related Concept Videos
01:22Local Attraction
490
Local attraction refers to disturbances in compass readings caused by magnetic influences from nearby objects such as metal fences, buried pipes, vehicles, buildings, power lines, or natural iron ore deposits. Small items like wristwatches, steel tools, or belt buckles can also interfere with the compass by creating local magnetic fields that distort the Earth's natural magnetic field. These distortions lead to inaccurate readings, posing navigation and land surveying challenges.Local...
490
01:25Active Filters
1.5K
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
1.5K
01:14Active Transport
2.6K
Active transport is a critical biological process that allows cells to move solutes against an electrochemical gradient. This process requires direct energy input and is characterized by its selectivity, saturability, and susceptibility to competitive inhibition.
Primary active transporters, like Na+, K+ and -ATPase, directly utilize ATP to move ions across the membrane. These transporters play significant roles in various physiological processes. For instance, Na+, K+ and -ATPase maintain...
Primary active transporters, like Na+, K+ and -ATPase, directly utilize ATP to move ions across the membrane. These transporters play significant roles in various physiological processes. For instance, Na+, K+ and -ATPase maintain...
2.6K
01:03Anchoring Junctions
5.6K
Anchoring junctions are multiprotein complexes that help cells connect to other cells and the extracellular matrix. Anchoring junctions are present on the lateral and basal surfaces of cells, providing strong and flexible connections. Focal adhesions are often formed due to cell interactions with the ECM substrata, which initiate signal transduction via kinase cascades and other mechanisms. Together, they provide stability and tissue integrity. There are three types of anchoring junctions:...
5.6K
02:11Forces Acting on Chromosomes
4.1K
During mitosis, chromosome movements occur through the interplay of multiple piconewton level forces. In prometaphase, these forces help in chromosome assembly or congression at the equatorial plane, eventually leading to their alignment at the metaphase plate. The forces acting on the chromosomes are space and time-dependent; therefore, they vary with the position of the chromosomes as the cell progresses through mitosis.
Microtubules and motor proteins exert two types of forces on...
Microtubules and motor proteins exert two types of forces on...
4.1K
01:23Vector Addition of Forces
6.4K
When understanding the effects of multiple forces acting on an object, vector addition is a crucial concept to grasp. This mathematical concept can be used to calculate the net force acting on an object when two or more forces are involved.
To understand the concept of vector addition, consider the scenario of a ship being pulled by two small tugboats. The two forces, F1 and F2, act concurrently on the ship in different directions. The parallelogram law can be used to calculate the net force...
To understand the concept of vector addition, consider the scenario of a ship being pulled by two small tugboats. The two forces, F1 and F2, act concurrently on the ship in different directions. The parallelogram law can be used to calculate the net force...
6.4K