Time Scale Problem: Solving Diffusion Time of Particles in 2D Space

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The discussion focuses on deriving the diffusion time for particles in a two-dimensional space, specifically addressing the parameters involved: particle speed (v), scatterer density (n in m^-2), and linear cross-section for scattering (σ in m). The user seeks clarification on these concepts, particularly the meaning of density and the role of the linear cross-section in determining scattering probability. The importance of understanding these parameters is emphasized for solving the diffusion time problem effectively.

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  • Understanding of diffusion processes in physics
  • Familiarity with two-dimensional space concepts
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ishmandoo
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I am having a lot of trouble starting the following problem. Any ideas? Thanks a lot for helping!

Derive from first principles, the diffusion time for particles traveling at speed v in a two dimensional (x,y) space to reach a distance R from their release point if the scatterers have a density n(m^-2) and linear cross section for scatter [tex]\sigma[/tex](m) Let each particle scatter with equal probability into the +/- x, +/-y directions.

I don't know what some of these things mean and they aren't explained well in my book or anywhere i look. What is the density it is referring to? What is the linear cross section for scatter? Again, thanks for any help.
 
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Density n(m^-2) is number per square meter. The cross-section determines the probability of scatter - I am not sure how the normalization has been set up.
 

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