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Related Concept Videos

Improper Integrals: Discontinuous Integrands01:28

Improper Integrals: Discontinuous Integrands

Evaluating Areas Under Curves with DiscontinuitiesA definite integral is considered improper when the integrand is discontinuous at one of the limits of integration. This occurs when the function is undefined or becomes infinite at an endpoint, making the corresponding region under the curve unbounded. Such behavior is commonly associated with vertical asymptotes at the boundary of the interval. To properly define and evaluate these integrals, a limiting process is used to determine whether a...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
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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...
Induced Electric Fields01:23

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The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
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Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating
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Integrable Mott insulators driven by a finite electric field.

Marcin Mierzejewski1, Janez Bonča, Peter Prelovšek

  • 1Institute of Physics, University of Silesia, 40-007 Katowice, Poland.

Physical Review Letters
|October 27, 2011
PubMed
Summary

Researchers developed a method to extract steady nonequilibrium current in driven isolated systems. This method revealed vanishingly small dc conductivity in one-dimensional Mott insulators, consistent with equilibrium predictions.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Statistical mechanics

Background:

  • Driven isolated systems present challenges in analyzing steady states.
  • Understanding nonequilibrium transport properties is crucial for quantum systems.
  • Mott insulators exhibit strong electron-electron interactions.

Purpose of the Study:

  • To develop a robust method for extracting steady nonequilibrium current.
  • To investigate the dc conductivity of a one-dimensional Mott insulator at high temperatures.
  • To compare nonequilibrium results with equilibrium predictions.

Main Methods:

  • Development of a novel method for calculating steady nonequilibrium current.
  • Application of the method to a one-dimensional Mott insulator model.
  • Analysis of the system's response under driven nonequilibrium conditions.

Main Results:

  • The developed method successfully extracts steady nonequilibrium current.
  • A vanishingly small dc conductivity was observed in the linear-response regime for the Mott insulator.
  • The results align with equilibrium calculations of dc conductivity under perturbation.

Conclusions:

  • The new method provides a reliable way to study transport in driven quantum systems.
  • Integrability in quantum systems can lead to suppressed dc conductivity.
  • Nonequilibrium phenomena in these systems can be understood through comparisons with equilibrium physics.