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Related Concept Videos

Non-conservative Forces01:17

Non-conservative Forces

Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from a system as it progresses. Unlike conservative forces, non-conservative forces do not have potential energy associated with them. This is because the energy is lost to the system and cannot be turned into useful work later.
Also unlike their conservative counterparts, they are path-dependent; where the object starts and stops does matter. For example, a grinding wheel applies a...
Conservative Forces01:14

Conservative Forces

According to the law of conservation of energy, any transition between kinetic and potential energy conserves the total energy of the system. Hence, the work done by a conservative force is completely reversible. It is path independent, which means that we can start and stop at any two points in the transition, and the total energy of the system (kinetic plus potential energy at these points) will remain conserved. This is characteristic of a conservative force. Some important examples of...
Conservative Forces01:03

Conservative Forces

Conservative forces are an essential concept in the field of mechanical engineering. Understanding the properties and characteristics of these forces is crucial to the design and analysis of mechanical systems.
Conservative forces are forces that are dependent only on the initial and final positions of an object and that are independent of the path that the object takes between these positions. These forces conserve energy, which means that the work done by the force is independent of the path...
Induced Electric Fields: Applications01:27

Induced Electric Fields: Applications

An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
Magnetic Force On A Current-Carrying Conductor01:25

Magnetic Force On A Current-Carrying Conductor

Moving charges experience a force in a magnetic field. Since the magnetic fields produced by moving charges are proportional to the current, a conductor carrying a current creates a magnetic field around it.
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...

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Related Experiment Video

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Finite Element Modelling of a Cellular Electric Microenvironment
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Finite Element Modelling of a Cellular Electric Microenvironment

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Nonconservative current-induced forces: A physical interpretation.

Tchavdar N Todorov1, Daniel Dundas, Anthony T Paxton

  • 1Atomistic Simulation Centre, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, UK.

Beilstein Journal of Nanotechnology
|January 20, 2012
PubMed
Summary
This summary is machine-generated.

Electrical current in nanostructures creates nonconservative interatomic forces. These forces transfer angular momentum, driving atomic kinetic energy gain via directional phonon emission.

Keywords:
atomic-scale conductorscurrent-induced forcesfailure mechanismsnanomotors

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Area of Science:

  • Condensed Matter Physics
  • Nanotechnology
  • Materials Science

Background:

  • Interatomic forces in current-carrying nanostructures exhibit nonconservative behavior.
  • Understanding these forces is crucial for nanoscale device applications.

Purpose of the Study:

  • To provide a physical interpretation of nonconservative interatomic forces in current-carrying nanostructures.
  • To define the capacity of electrical current to exert nonconservative forces.
  • To link atomic kinetic energy gain to phonon emission.

Main Methods:

  • Analytical evaluation of the curl of interatomic forces for a point defect.
  • Development of a formal noninvasive test procedure to define nonconservative force capacity.
  • Analysis of the relationship between atomic kinetic energy gain and stimulated phonon emission.

Main Results:

  • A general definition for the capacity of electrical current to exert nonconservative forces was obtained.
  • The gain in atomic kinetic energy was shown to be equivalent to directional phonon emission.
  • The mechanism of nonconservative forces was quantified as angular momentum transfer.

Conclusions:

  • Nonconservative interatomic forces in nanostructures arise from electrical current flow.
  • These forces facilitate energy transfer through directional phonon emission.
  • The findings provide a quantitative understanding of electron-phonon interactions and force mechanisms at the nanoscale.