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Related Concept Videos

Elastic Collisions: Introduction01:00

Elastic Collisions: Introduction

An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
Elastic Collisions: Case Study01:15

Elastic Collisions: Case Study

Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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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...
First Law: Particles in One-dimensional Equilibrium01:10

First 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...
Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving01:23

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Consider a wooden box and a cylinder of known masses m1 and m2, respectively, hanging from a ceiling with the help of a massless pulley system.
Principle of Linear Impulse and Momentum for a System of Particles01:21

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In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior.
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Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics
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Inelastic transport: a pseudoparticle approach.

Alexander J White1, Michael Galperin

  • 1Department of Chemistry & Biochemistry, University of California at San Diego, La Jolla, CA 92093, USA.

Physical Chemistry Chemical Physics : PCCP
|July 17, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a pseudoparticle non-equilibrium Green

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Area of Science:

  • Condensed Matter Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Molecular junctions are crucial for nanoscale electronics.
  • Accurate theoretical descriptions of electron transport are needed.
  • Strong electron-vibron interactions pose a challenge for existing models.

Purpose of the Study:

  • To present a pseudoparticle non-equilibrium Green's function (NEGF) approach.
  • To describe charge transport in molecular junctions.
  • To investigate inelastic transport with strong electron-vibron coupling.

Main Methods:

  • Application of a pseudoparticle NEGF method.
  • Generalization of the exact mapping method by Bonca and Trugman.
  • Inclusion of Pauli exclusion principle and Fermi-Dirac distribution.

Main Results:

  • The pseudoparticle NEGF approach effectively models inelastic transport.
  • Comparison with other approximate NEGF schemes demonstrates its utility.
  • The method accounts for many-body states and electron-vibron interactions.

Conclusions:

  • The pseudoparticle NEGF approach is a valuable tool for molecular transport.
  • It offers a more comprehensive description than simpler models.
  • This method advances the understanding of electron-vibron coupling in molecular junctions.