Related Experiment Video
Updated: Jun 5, 2026
09:44
Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System
Published on: June 5, 2014
Dynamics of kicked particles in a double-barrier structure
1Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India. harinder@prl.res.in
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
Summary
This study explores chaotic dynamics in kicked particles within a double-barrier system, revealing a nonequilibrium steady state and energy saturation. These findings offer insights into quantum chaos and localization phenomena.
Area of Science:
- Quantum mechanics
- Classical mechanics
- Chaos theory
Background:
- Periodically kicked systems exhibit complex dynamics.
- Double-barrier structures are relevant for studying quantum phenomena.
- The Kolmogorov-Arnold-Moser (KAM) theorem governs regular dynamics in many systems.
Purpose of the Study:
- Investigate the classical and quantum dynamics of particles in an open double-barrier structure under periodic kicks.
- Analyze the chaotic dynamics arising from the system's non-KAM nature.
- Explore emergent dynamical features like nonequilibrium steady states and momentum filtering.
Main Methods:
- Numerical simulations of classical and quantum dynamics.
- Phase-space analysis to identify chaotic behavior.
- Examination of energy growth and momentum distribution.
Main Results:
- The system exhibits chaotic dynamics, deviating from KAM theorem predictions.
- A nonequilibrium steady state is observed.
- Classically induced saturation of energy growth and momentum filtering are identified.
Conclusions:
- The non-KAM nature of the double-barrier system leads to unique dynamical behaviors.
- The findings are relevant to understanding classically induced localization and chaotic ratchets.
- Experimental feasibility of the system is discussed.
More Related Videos
Related Concept Videos
01:18First Law: Particles in Two-dimensional Equilibrium
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Newton's first law tells us about the...
01:10First Law: Particles in One-dimensional Equilibrium
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
01:14Energy Diagrams - I
The dynamics of a mechanical system can be easily understood by interpreting a potential energy diagram. Since energy is a scalar quantity, the interpretation of the dynamics of the system becomes even simpler.
Take the example of a skater on a parabolic ramp. The potential energy at different points along the ramp will be proportional to the height of the ramp, which varies quadratically with the horizontal position on the ramp. As the skater moves down the ramp from the highest position,...
Take the example of a skater on a parabolic ramp. The potential energy at different points along the ramp will be proportional to the height of the ramp, which varies quadratically with the horizontal position on the ramp. As the skater moves down the ramp from the highest position,...
01:10Energy Diagrams - II
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...
02:32The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
01:20Principle of Linear Impulse and Momentum for a Single Particle
Linear momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, having a magnitude equal to the product of its mass and its velocity, and direction along the object's velocity. On the other hand, linear impulse, also known as momentum impulse, is a concept in physics related to the change in the linear momentum of an object. Impulse is a vector quantity defined as the product of force and the time over which the force is applied.
Delving into...
Delving into...