Spherical Model - Equation of State

Equation of State

Solving the partition function and using a calculation of the free energy yields an equation describing the magnetization M of the system

for the function g defined as

The internal energy per site is given by

an exact relation relating internal energy and magnetization.

Read more about this topic:  Spherical Model

Famous quotes containing the words equation and/or state:

    A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.
    Norman Mailer (b. 1923)

    And now the end is near
    And so I face the final curtain,
    I’ll state my case of which I’m certain.
    I’ve lived a life that’s full, I traveled each and ev’ry highway,
    And more, much more than this. I did it my way.
    Frank Sinatra (b. 1915)