Brownian Motion: Mass and size of Brownian particle

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SUMMARY

Brownian motion is significantly influenced by the mass and size of the particles involved, which must be very small for observable effects. The Langevin equation illustrates that the magnitude of Brownian forcing is directly proportional to temperature and viscosity, while inversely proportional to particle mass. The discussion emphasizes the importance of the Peclet number, which compares convective flow to diffusive motion, in analyzing the conditions under which Brownian motion occurs.

PREREQUISITES
  • Understanding of Brownian motion principles
  • Familiarity with the Langevin equation
  • Knowledge of the Peclet number
  • Basic concepts of temperature and viscosity effects on particle dynamics
NEXT STEPS
  • Research the Langevin equation and its applications in statistical mechanics
  • Study the implications of the Peclet number in fluid dynamics
  • Explore the relationship between particle size, mass, and Brownian motion
  • Investigate temperature and viscosity effects on particle behavior in fluids
USEFUL FOR

Physicists, chemists, and researchers studying particle dynamics, as well as students seeking to understand the principles of Brownian motion and its governing equations.

Avi Nandi
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For observation of Brownian motion, the mass and the size of the Brownian particle should be very small. Within what range the size and mass of the Brownian particle should lie?? Can a particle with small mass and bigger size and vice versa can undergo Brownian motion??
 
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Wouldn't the answer depend on the magnitude of the forces?

In the surf of an angry sea, even boulders are tossed around. Ditto for solid objects in a boiling lava pool.
 
Avi Nandi said:
For observation of Brownian motion, the mass and the size of the Brownian particle should be very small. Within what range the size and mass of the Brownian particle should lie?? Can a particle with small mass and bigger size and vice versa can undergo Brownian motion??

In the Langevin approach, the magnitude of Brownian forcing scales with temperature and viscosity and inversely with particle mass.

https://en.wikipedia.org/wiki/Langevin_equation

In terms of analysis, I suspect you are looking at the Peclet number (convected flow vs. diffusive motion)

https://en.wikipedia.org/wiki/Péclet_number
 

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