Related Experiment Video
Updated: Jun 26, 2025
13:44
Sealable Femtoliter Chamber Arrays for Cell-free Biology
Published on: March 11, 2015
9.5K
Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements
Hidemasa Ishii1, Hiroshi Kori2
1Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, The University of Tokyo, Chiba, 277-8561, Japan. hidemasaishii1997@g.ecc.u-tokyo.ac.jp.
Scientific Reports
|May 14, 2024
Summary
Complex systems change states unpredictably. Diffusive coupling in bistable systems can speed up or slow down these state transitions, depending on coupling strength, influencing escape times.
Area of Science:
- Complex Systems Dynamics
- Statistical Physics
- Nonlinear Dynamics
Background:
- Complex systems exhibit sudden state changes, modeled by noise-induced escape from bistable states.
- Understanding factors influencing transition rates is crucial for diverse phenomena like epileptic seizures and climate change.
Purpose of the Study:
- Investigate the impact of diffusive coupling between bistable elements on noise-induced escape dynamics.
- Analyze how coupling strength affects the escape time and transition rates in these systems.
Main Methods:
- Numerical simulations of interacting bistable elements.
- Theoretical analysis for weak coupling regimes to predict escape time statistics.
Main Results:
- Weak diffusive coupling reduces the mean escape time, facilitating state transitions.
- Strong diffusive coupling impedes escape by reducing effective noise intensity.
- Developed a theory predicting mean and variance of escape times for weak coupling.
Conclusions:
- Diffusive coupling has a dual effect on noise-induced escape, facilitating it at weak strengths and impeding it at strong strengths.
- The facilitating effect dominates for weak coupling, regulating transition rates.
- Coupling strength is a key parameter in controlling state transitions in complex systems.
Related Concept Videos
01:10Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
01:24BIBO stability of continuous and discrete -time systems
386
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
386
01:27Biasing of Metal-Semiconductor Junctions
252
Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
252
01:08NMR Spectroscopy: Spin–Spin Coupling
1.3K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
1.3K
01:17Magnetic Damping
451
Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
451
01:07Damped Oscillations
5.7K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.7K