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Related Concept Videos

Carrier Transport01:21

Carrier Transport

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:
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
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The de Broglie Wavelength02:32

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Mass Analyzers: Common Types01:19

Mass Analyzers: Common Types

The quadrupole mass analyzer consists of four cylindrical metal rods arranged in a diamond carrying a DC voltage and a radio-frequency AC voltage. The motion of ions through the quadrupole depends on the field strength, causing only ions of a certain m/z to resonate successfully and strike the detector at a given field strength. Though the transmission rate for these analyzers is high, the exact elemental composition of the sample is not determined because of low resolution; however, they are...
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Force and Potential Energy in One Dimension

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Protein Dynamics in Living Cells01:19

Protein Dynamics in Living Cells

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Related Experiment Video

Updated: May 13, 2026

Optical Trap Loading of Dielectric Microparticles In Air
08:57

Optical Trap Loading of Dielectric Microparticles In Air

Published on: February 5, 2017

Dynamic analysis of a diffusing particle in a trapping potential.

Moshe Lindner1, Guy Nir, Anat Vivante

  • 1Department of Physics, Institute of Nanotechnology, Bar Ilan University, Ramat Gan 52900, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 19, 2013
PubMed
Summary
This summary is machine-generated.

We developed a new method to analyze diffusing particles in harmonic potentials. This approach allows for the simultaneous extraction of diffusion coefficients and restoring-force constants from experimental data.

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Last Updated: May 13, 2026

Optical Trap Loading of Dielectric Microparticles In Air
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Published on: February 5, 2017

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

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Optical Trapping of Nanoparticles
13:39

Optical Trapping of Nanoparticles

Published on: January 15, 2013

Area of Science:

  • Physics
  • Biophysics
  • Physical Chemistry

Background:

  • Particle dynamics in potential fields are fundamental in physics.
  • These dynamics are crucial for understanding single-molecule experiments.
  • Low Reynolds number hydrodynamics governs many biophysical processes.

Purpose of the Study:

  • To present a novel formalism for analyzing diffusing particle dynamics in harmonic potentials.
  • To enable simultaneous extraction of system parameters like diffusion coefficient and force constant.
  • To validate the formalism through simulations and experimental measurements.

Main Methods:

  • Utilizing the time evolution of the particle probability distribution function.
  • Applying the formalism to systems at low Reynolds numbers.
  • Conducting simulations and analyzing experimental data from a nanobead tethered to DNA.

Main Results:

  • The developed formalism effectively analyzes particle diffusion in harmonic potentials.
  • Simultaneous extraction of diffusion coefficient and restoring-force constant is achieved.
  • Experimental validation confirms the formalism's applicability to biophysical systems.

Conclusions:

  • The presented formalism offers a powerful tool for characterizing diffusing particle systems.
  • It simplifies the analysis of complex dynamics in single-molecule studies.
  • This method provides a comprehensive understanding of system parameters.