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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...
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Published on: December 4, 2017

Hot brownian motion.

Daniel Rings1, Romy Schachoff, Markus Selmke

  • 1Institut für Theoretische Physik, Universität Leipzig, Postfach 100920, 04009 Leipzig, Germany.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

We developed a Markovian description for heated nanoparticle motion in solvents with changing viscosity. Our findings support new photothermal tracer and nanoparticle tracking methods.

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Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

Area of Science:

  • Physics
  • Physical Chemistry
  • Nanotechnology

Background:

  • Brownian motion is fundamental to understanding particle dynamics in fluids.
  • Temperature variations significantly affect solvent viscosity, impacting particle movement.
  • Existing models often simplify the complex interplay between temperature, viscosity, and nanoparticle motion.

Purpose of the Study:

  • To derive a Markovian description for the nonequilibrium Brownian motion of a heated nanoparticle.
  • To investigate the influence of temperature-dependent viscosity on nanoparticle dynamics.
  • To provide a theoretical framework for advanced nanoparticle manipulation techniques.

Main Methods:

  • Derivation of a generalized Langevin equation.
  • Analytical solution for the Brownian motion under nonequilibrium conditions.
  • Comparison of theoretical predictions with experimental data.

Main Results:

  • A novel Markovian description for heated nanoparticle Brownian motion was established.
  • Generalized fluctuation-dissipation and Stokes-Einstein relations were derived.
  • Analytical results showed favorable agreement with experimental measurements of laser-heated gold nanoparticles.

Conclusions:

  • The derived model accurately describes nanoparticle behavior in temperature-varying solvents.
  • The findings offer a rational basis for photothermal tracer techniques.
  • This work facilitates advancements in nanoparticle trapping and tracking methodologies.