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Questions tagged [mean-free-path]

The average length that a molecule will travel in a fluid before colliding with another molecule.

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0 answers
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Mean free path equation for plasma

Does the mean free path equation $$\lambda=\frac{1}{\sqrt{2}\pi d^2 n_v}$$ work for collisions in plasma or just for gas?
Waev's user avatar
  • 33
0 votes
0 answers
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Predicting electrical mean free path in nanostructures?

How does one roughly predict the mean free path for electrical conduction in a nanostructure at different temperatures and under different electrical conditions such as different voltages and ...
ProfessorMoreRight's user avatar
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0 answers
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Standard deviation for a free path distribution

I would like to be able to describe a particles path before collisions with greater precision. We can calculate the "mean" free path of a particle before colliding moving particles, but I ...
Roman Grachev's user avatar
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1 answer
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How is number of collisions per unit distance related to mean free path?

Recently I have been studying Kinetic Theory Of Gases, with one of the topics as collision frequency. I know that collision frequency is inverse of relaxation time which is also the measure of number ...
Ankita Bharati's user avatar
1 vote
0 answers
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Determining the single particle energies in a neutrino opacity calculation

I'm attempting to recreate some plots from this paper on neutrino opacity calculations for interacting matter at supra-nuclear densities. Namely, I'm trying to write a Python script to perform the ...
10GeV's user avatar
  • 799
0 votes
1 answer
39 views

Why does computing mean free path from an air molecule's reference frame seem to greatly overestimate path length?

I was interested in seeing if I could derive the mean free path of an "air molecule" by considering the reference frame of an individual molecule as other particles moved around it randomly. ...
trevR's user avatar
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4 votes
1 answer
169 views

Number of fog droplets in the air

I have an issue with the official solution to this problem from BelPhO: Visibility on the road is 100 m. Assuming that the diameter of a fog droplet is 1 micron, estimate the concentration of fog ...
Bml's user avatar
  • 439
0 votes
1 answer
187 views

Mean free path of molecules

So in the book concepts in thermal physics(by Stephan and Katherine Blundell) the expression of mean scattering time is derived as shown(please refer the book for more). If we replace vdt in the ...
Mr. Wayne's user avatar
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0 answers
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Why is the sphere of influence of the molecule in mean free path a cylinder?

In my book for deriving mean free path a cylinder is taken to act as a sphere of influence of molecules with which it could bump into other molecules and its radius = diameter of the molecule we are ...
Naveen V's user avatar
  • 648
2 votes
1 answer
181 views

How does $\frac{\langle v\rangle}{\langle v_r\rangle}=\frac{1}{\sqrt2}$ imply the formula for the mean free path?

In this question, it was asked how the formula $$l=\frac{1}{\sqrt 2n\sigma }$$ can be rigorously derived for a Maxwell-Boltzmann gas. Here $l$ is the mean free path length in a gas, $n$ is the gas ...
Riemann's user avatar
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172 views

Free Path Probability Distribution for an Ideal Gas

Suppose we have a gas with collisions. The mean free path, $l$, is the average distance a particle travels before colliding with another particle. This is the average, but what is the probability ...
Jbag1212's user avatar
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1 vote
0 answers
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Question regarding correction factor in Mean free path

1)The expression for $Mean$ $Free$ $Path$ (ie) , $$λ=\dfrac{1}{πd²\dfrac{n}{V}}$$ is derived under the assumption that the particles except the one( let's consider it as particle $A$) you're ...
Harry Case's user avatar
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1 answer
31 views

Collisional cross-section from attenuation factor

I am trying to find the mean free path of silver atoms travelling through air (I am given the temperature, pressure and that they are attenuated by a factor $2.72$ in a distance of $10^{-2}$m). I know ...
mp12853's user avatar
  • 75
2 votes
1 answer
133 views

Mean free path regarding billiards

Is there a generalization of the mean free path for macro-objects such as the distance the white billiard ball could travel before hitting an other billiard ball?
NHSH's user avatar
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1 vote
0 answers
115 views

Ratio of mean free paths between two equal volumes at different temperature, separated by a partition with pinhole

Question: A container is divided into two equal parts I and II by a partition with a small hole of diameter $d$. The two partitions are filled with same ideal gas, but held at temperatures $T_I$​= ...
Alpha Delta's user avatar
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