Energy

Section 2 Exercises:

1. Run the applet with an initial temperature of T = 0 and H = 0.  Let the system evolve for a few seconds.  Record the average energy.  Repeat this for the temperatures 0.1, 0.2, 0.5, 1.0, 2.0, 2.5, 3.0, 5.0, 7.5, and 10.  Plot this data and describe the functionality.  Discuss your results.
2. Reset the simulation and clear the graph.  Set T = 0 and H = 0.  Let the system evolve until it is all one color.  Ramp the magnetic field up to H = +5.  Describe what happens to the spin lattice and to the energy.  Note at what values of H you see changes.  Ramp the magnetic field down to H = -5 and describe what happens.  Go back and forth between the limits of H and describe what happens to the energy. 
3. Repeat the simulation until the system evolves to completely to the opposite color as that in the beginning of Exercise 2.  Repeat the magnetic ramping and describe what happens.  Note at what values of H you see changes. 
4. Explain the behavior you found in Exercises 2 & 3 in terms of the equation for the energy found in the Introduction.
5. Increase the temperature to T = 1.0 and repeat Exercises 2-3.  How has the behavior changed from what you observed in Exercise 4.