Neutron Flux in Infinite Vaccum

In summary, the neutron flux for a point source is given by ø=\frac{S}{4πr^2}, where S is the strength of the source and r is the distance from the source. However, in a vacuum, there is no diffusion and therefore no diffusion coefficient, resulting in an infinite L and no exponential term in the numerator.
  • #1
chriskay301
10
0
I have to figure out how to prove that the neutron flux for a point source is given by ø=[itex]\frac{S}{4πr^2}[/itex].

I can get this type of solution, but I have an e^(-r/L) in the numerator. I'm assuming I'm missing some theory somewhere as apparently this is the solution for a point source in an infinite medium, not vacuum.

does anyone have some insight they could offer?
 
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  • #2
I realized there's no diffusion in a vacuum, therefore no diffusion coefficient. Please delete this post!
 
  • #3
The exponential term comes from neutron interactions with the medium. For a vacuum, L is infinite.
 

1. What is neutron flux in infinite vacuum?

Neutron flux in infinite vacuum refers to the number of neutrons passing through a specific area in a vacuum over a period of time. This phenomenon is often studied in nuclear physics and is important in understanding the behavior and interactions of neutrons.

2. How is neutron flux in infinite vacuum measured?

Neutron flux in infinite vacuum is typically measured using a neutron flux detector, which is a device that can count the number of neutrons passing through a specific area. The detector is usually placed inside a vacuum chamber to eliminate any interference from other particles.

3. What factors can affect neutron flux in infinite vacuum?

Several factors can affect neutron flux in infinite vacuum, including the energy and speed of the neutrons, the size and shape of the vacuum chamber, and the presence of any shielding materials. Additionally, the type of neutron source and the distance between the source and the detector can also impact the neutron flux.

4. Why is the study of neutron flux in infinite vacuum important?

Understanding neutron flux in infinite vacuum is crucial in many applications, such as nuclear power, nuclear medicine, and nuclear research. It allows scientists to predict and control the behavior of neutrons, which is essential in the safe and efficient use of nuclear technology.

5. What are some potential applications of neutron flux in infinite vacuum?

Neutron flux in infinite vacuum has a wide range of potential applications, including nuclear power generation, neutron therapy for cancer treatment, and materials testing. It is also used in research to study the properties of materials, such as their resistance to radiation damage.

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