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Related Concept Videos

Series R—L Circuit Transients01:22

Series R—L Circuit Transients

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In a series resistor-inductor (R-L) circuit, closing the switch at the start of the time period simulates a three-phase short circuit, a fault condition where all three phases of an unloaded synchronous machine are short-circuited. When there is no fault impedance and no initial current, the initial voltage is determined by the phase angle of the source voltage.
Using Kirchhoff's Voltage Law (KVL) to analyze this circuit helps determine the total asymmetrical fault current, which consists...
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Metal-Semiconductor Junctions01:24

Metal-Semiconductor Junctions

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The contact of metal and semiconductor can lead to the formation of a junction with either Schottky or Ohmic behavior.
Schottky Barriers
Schottky barriers arise when a metal with a work function (Φm) contacts a semiconductor with a different work function (Φs). Initially, electrons transfer until the Fermi levels of the metal and semiconductor align at equilibrium. For instance, if Φm > Φs, the semiconductor Fermi level is higher than the metal's before contact. The...
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Carrier Transport01:21

Carrier Transport

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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.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
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Diode: Reverse bias01:14

Diode: Reverse bias

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A diode is reverse-biased when the positive terminal of an external voltage source is connected to the n-type material and the negative terminal to the p-type material. This configuration opposes the natural direction of current flow through the diode, effectively increasing the width of the depletion region and the barrier potential. The reverse bias condition produces a minimal leakage current, primarily due to minority charge carriers. This leakage becomes significant when the reverse...
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Biasing of P-N Junction01:16

Biasing of P-N Junction

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The operation of a p-n junction diode involves various biasing conditions, including forward bias, reverse bias, and equilibrium.
In equilibrium, no external voltage is applied across the p-n junction. The depletion region is formed at the junction interface due to the diffusion of carriers, which leaves behind charged dopants, acceptors on the p-side, and donors on the n-side. These immobile charges create an electric field that prevents further diffusion of carriers. The related energy band...
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Electrostatic Boundary Conditions in Dielectrics

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When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
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Related Experiment Video

Updated: Aug 11, 2025

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Arc hopping dynamics induced by interfacial negative differential resistance.

Jindong Huo1, Alex Rontey2, Yifei Wang1

  • 1Electrical Insulation Research Center, Institute of Materials Science, University of Connecticut, Storrs, CT 06269, USA.

PNAS Nexus
|February 6, 2023
PubMed
Summary

Negative differential resistance (NDR) in plasma sheaths drives pattern formation in plasma-solid interactions. This discovery explains arc hopping dynamics and offers new ways to control plasma surface treatments.

Keywords:
arc rootsinstabilitymagnetohydrodynamicsnegative differential resistancesheath

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Area of Science:

  • Plasma Physics
  • Surface Science
  • Nonlinear Dynamics

Background:

  • Pattern formation in plasma-solid interactions is crucial for applications like plasma etching and surface treatment.
  • Arc attachments constrict into self-organized spots, posing a research challenge.

Purpose of the Study:

  • To investigate the mechanism behind pattern formation in gliding arc discharges.
  • To understand the hopping dynamics of plasma attachments on surfaces.

Main Methods:

  • Analysis of gliding arc discharge dynamics in a Jacob's Ladder setup.
  • Instability phase-diagram analysis.
  • Comprehensive magnetohydrodynamics (MHD) computation.

Main Results:

  • Identified negative differential resistance (NDR) across the plasma sheath as the cause of hopping patterns.
  • Demonstrated that NDR leads to activator-inhibitor dynamics governing current density redistribution and spot formation.
  • MHD simulations successfully reproduced experimental arc hopping phenomena.

Conclusions:

  • Sheath NDR plays an essential role in plasma-solid surface pattern formation.
  • This finding opens new avenues for research in manipulating plasma-solid interactions.
  • The study explains spontaneous arc attachment constriction in the NDR regime.