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)

    The Indian attitude toward the land was expressed by a Crow named Curly: “The soil you see is not ordinary soil—it is the dust of the blood, the flesh, and the bones of our ancestors. You will have to dig down to find Nature’s earth, for the upper portion is Crow, my blood and my dead. I do not want to give it up.”
    —For the State of Montana, U.S. public relief program. Montana: A State Guide Book (The WPA Guide to Montana)