Related Experiment Video
Updated: Apr 21, 2026
11:10
Fabrication and Operation of a Nano-Optical Conveyor Belt
Published on: August 26, 2015
11.2K
Front propagation in a bistable system: how the energy is released
V V Smirnov1, O V Gendelman2, L I Manevitch1
1Institute of Chemical Physics, RAS, 4 Kosygin str., 119991 Moscow, Russia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
Summary
Transition fronts in conservative systems radiate energy, leading to nonstationary processes. This study reveals the origin of this radiation imbalance and models key transition characteristics.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Statistical mechanics
Background:
- Investigating transitions between metastable and stable states in conservative systems.
- Understanding energy radiation during front propagation.
Purpose of the Study:
- To analyze the energy imbalance between released energy and oscillation energy density behind a transition front.
- To reveal the origin of nonstationary radiative processes accompanying stationary front propagation.
- To develop an analytic model for predicting transition characteristics.
Main Methods:
- Numerical simulation of a one-dimensional nonlinear lattice.
- Analysis of energy release and oscillation energy density.
- Development of a simple model for a bistable system.
- Analytic evaluation of front velocity, radiation frequency, and oscillation amplitude.
Main Results:
- Essential imbalance observed between released energy and oscillation energy density.
- Stationary front propagation is linked to nonstationary radiative processes.
- Front propagation characteristics critically depend on boundary conditions.
- Analytic model accurately predicts front velocity, radiation frequency, and oscillation amplitude.
Conclusions:
- The study elucidates the complex interplay between front propagation and radiative processes in conservative systems.
- A validated analytic model provides predictive power for transition dynamics.
- Boundary conditions are critical factors influencing transition front behavior.
Related Concept Videos
01:24BIBO stability of continuous and discrete -time systems
1.1K
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....
1.1K
01:23Propagation of Action Potentials
15.0K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
15.0K
01:22Switching of BJT
976
Switching behavior in Bipolar Junction Transistors (BJTs) is a fundamental aspect utilized in various electronic circuits, particularly for digital logic applications like switches and amplifiers. In a typical switching circuit, a BJT alternates between cut-off and saturation modes, corresponding to the "off" and "on" states, respectively, thus behaving like an ideal switch.
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are...
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are...
976
01:24Pole and System Stability
1.3K
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
1.3K
01:21First Order Systems
565
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
565
01:07Propagation of Waves
2.5K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.5K