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
 * 2) Apparently this book: http://www.amazon.com/Modern-Physics-James-William-Rohlf/dp/0471572705 has a good section on it.
 * 3) This is good: http://hyperphysics.phy-astr.gsu.edu/hbase/molecule/paulirep.html
 * 4) This is also good: https://www.eng.fsu.edu/~dommelen/quantum/style_a/pr.html
 * 5) it is mentioned in many articles on wikipedia already, but not really delved into.
 * 6) Pauli exclusion principle has some nice references and discussion. Does this really need its own article?
 * 7) Re-write grain boundary segregation portions of this article. Segregation in materials
 * 8) It seems to be taken from another paper or something...
 * 9) The concept of short range order in materials science
 * 10) This might deserve its own page... Need to think what to put in it.
 * 11) Common Ownership Self-Assessed Tax
 * 12) Need to find good primary sources for this outside of Radical Markets.
 * 13) Liberal Radicalism
 * 14) 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