Recent content by a1234

I am trying to develop an asymptotic expansion of the following integral using the method of steepest descents: $$ \int_{0}^{\infty} \frac{1}{t+1}e^{ix(t^3-3)}dt $$ I rearranged it into the form ## \int e^{ix(t^3-3) - ln(t+1)} dt ##, where ## \phi(t) = -ln(t+1) ## and ## \psi(t)=x(t^3-3) ##...

Hello, I've been working with MCNP on and off for a few years now, but just recently realized that I don't entirely understand how tallies are actually calculated in MCNP, and what they signify. Taking the example of the F2 tally, the user manual (Section 3.3.5.1) states that F2 is the "flux...

How can we show that the individual field lines obey Gauss' law? How would this be different from showing that Gauss' law is satisfied for the field?

As stated in the problem, I want to demonstrate mathematically that field line density is directly related to the magnitude of B. How would I be able to do this, other than simply using the flux equation and showing that for a higher flux in the same area, the magnetic field must be rise...

Could you explain how the result is approximate? The instructor wanted us to use the error propagation formula specified to find the uncertainty in the standard deviation, so I believe they expected us to use this method. Would it be possible to get rid of the second summation term under the...

Using this error propagation formula: I expressed the standard deviation (s) and the partial derivatives of s w.r.t. each data point as: This gives me an uncertainty of: , where m is the mean. Does this seem reasonable for the uncertainty of the standard deviation? I also found the thread...

I was able to figure out this problem.

The original differential equation is: My solution is below, where C and D are constants. I have verified that it satisfies the original DE. When I apply the first boundary condition, I obtain that , but I'm unsure where to go from there to apply the second boundary condition. I know that I...

Thank you so much for the help, I was able to get it to work!

Redefined cell 11 as being +4 and being material 3 (coolant), but still getting the same error. Yes, the last line in the fill should have been 3 3 3 3 3.

The Geometry.txt file extension should be changed to .i to run it in MCNP.

MCNP6 gives me a "10 particles got lost" error when I try to run the attached input file modeling a 3x3 fuel lattice surrounded in coolant. As I understand it, this error is usually related to the geometry/surface definitions of each component, but I'm unsure of what the source of the error is...

According to the page below, the average energy of a particle in the nth state is given by n^2*pi^2*h_bar^2 / 2m. https://cnx.org/contents/pZH6GMP0@1.185:Ek7FZdR3@3/The-Quantum-Particle-in-a-Box I initially tried finding <E> using the Hamiltonian operator, but the integral required to...

I first normalized the given wavefunction and found the value of n that satisfies the normalization condition. I then used E = <E> = pi^2* h_bar^2* n^2/(2*m) to get the expectation value of energy. Assuming that this was the right process, I'm now trying to find <E^2> using the same equation...

I am trying to find the mass flow rate of coolant through a channel within a hexagonal nuclear fuel assembly. I am given the specific heat of the fluid, the coolant inlet and outlet temperatures, the total power produced by a single fuel pin, the diameter of the fuel pin, the length of the fuel...