User:Mgibby5/sandbox

This is Mgibby5's sandbox page. Articles under development are stored here until they are ready to be put on Wikipedia. Note: this is not supposed to be that organized, only enough so that I know what I was doing when I come back.

Articles I am thinking about writing

1. Pauli repulsion
   1. Apparently this book: http://www.amazon.com/Modern-Physics-James-William-Rohlf/dp/0471572705 has a good section on it.
   2. This is good: http://hyperphysics.phy-astr.gsu.edu/hbase/molecule/paulirep.html
   3. This is also good: https://www.eng.fsu.edu/~dommelen/quantum/style_a/pr.html
   4. it is mentioned in many articles on wikipedia already, but not really delved into.
   5. Pauli exclusion principle has some nice references and discussion. Does this really need its own article?
2. Re-write grain boundary segregation portions of this article. Segregation in materials
   1. It seems to be taken from another paper or something...
3. The concept of short range order in materials science
   1. This might deserve its own page... Need to think what to put in it.
4. Common Ownership Self-Assessed Tax
   1. Need to find good primary sources for this outside of Radical Markets.
5. Liberal Radicalism
   1. Mostly draw from the Buterin paper.

Smaller To-Do list

• Add a section on susceptibilities to the correlation function page
• Link the susceptibility page to the correlation function page
• Link the magnetic and electric susceptibility pages to the correlation function pages
• Link the linear response theory page to correlation function page
• Put a figure into the Vegard's law page

Connecting Correlation Functions with response and dissipation

• This will be finished later*

Dissipation and correlations are proportional in frequency-space

The Fluctuation-dissipation theorem states that the Fourier transform of the correlation function for a frequency, $\omega$ is linearly proportional to the amount dissipated by the system driven at that frequency.

Susceptibility: Linear Response Theory

A Susceptibility is defined by how a system 'yields' or 'gives in' to a perturbation. For example, in Magnetism, the Magnetic susceptibility quantifies how the system's magnetization changes in response to a magnetic field; systems with large magnetic susceptibilities exhibit large changes in magnetization per unit applied magnetic field.

outline:

• Linear response
• Dissipation and imaginary parts of susceptibilties
• Static Susceptibility
• The fluctuation-dissipation theorem