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Related Concept Videos

Drift Velocity01:19

Drift Velocity

The high speed of electrical signals results from the fact that the force between charges acts rapidly at a distance. Thus, when a free charge is forced into a wire, the incoming charge pushes other charges ahead due to the repulsive force between like charges. These moving charges move the charges farther down the line. The density of charge in a system cannot easily be increased, so the signal is passed on rapidly. The resulting electrical shock wave moves through the system at nearly the...
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The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
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Theory of Metallic Conduction01:17

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
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Forced Oscillations01:06

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When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Standing Waves01:17

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...

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Saltatory drift in a randomly driven two-wave potential.

G Oshanin1, J Klafter, M Urbakh

  • 1Laboratoire de Physique Théorique de la Matière Condensée, Université Paris 6, Tour 24, 4 place Jussieu, 75252 Paris Cedex 05, France. Max-Planck-Institut für Metallforschung, Heisenbergstraße 3, D-70569 Stuttgart, Germany. Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|June 22, 2011
PubMed
Summary
This summary is machine-generated.

A classical particle in a random potential can move against the average force, exhibiting a constant velocity drift. This occurs due to random fluctuations creating irreversible "locking" points, similar to a watch escapement.

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Area of Science:

  • Classical mechanics
  • Statistical physics
  • Nonlinear dynamics

Background:

  • Analysis of particle dynamics in complex potentials is crucial for understanding various physical phenomena.
  • Randomly driven systems often exhibit counterintuitive behaviors, challenging traditional deterministic models.

Purpose of the Study:

  • To investigate the dynamics of a classical particle in a one-dimensional, randomly driven potential.
  • To analyze the conditions under which a particle can exhibit unidirectional drift against an average external force, even when the force averages to zero.

Main Methods:

  • Analytical analysis of particle motion.
  • Numerical simulations to observe and verify particle dynamics.
  • Investigation of the role of random force fluctuations.

Main Results:

  • The particle can achieve a saltatory unidirectional drift with constant velocity against the averaged external force.
  • This directed motion persists even when the net external force is zero.
  • Random force fluctuations act as a locking mechanism, creating irreversibility.

Conclusions:

  • The observed unidirectional drift is driven by a specific behavior of random force fluctuations, creating points of irreversibility.
  • This mechanism is analogous to the escapement in mechanical watches.
  • Analytical estimates for terminal velocity in the overdamped limit are proposed.