0 Problem 4.8. Qualitative behavior of the probabilities (a) In Table 4.3 we considered a composite Einstein solid of four particles with two particles in each subsystem. Use the results of Table 4.3 to calculate the probability that subsystem A is in a particular microstate. Why does this probability differ from PA(EA)? (b) Program EinsteinSolid: Temperature computes the probability PA(EA) that subsystem A has energy EA. Run the program and collect the data from the Data Table under the Views menu. Consider N = 4, N = 12 and Etot = 3. Time: 03:44pm main.tex 188 METHODOLOGY OF STATISTICAL MECHANICS (c) Determine the probability P.(Es) that subsystem A is in a particular microstate by dividing PA(EA) by the number of microstates with energy EA. Plot Ps (Es) and PA(EA). (d) Explain why the probabilities Ps and PA(EA) are not the same. Why is the probability P, (E) a monotonically decreasing function of Es? What is the qualitative behavior of PA(EA)?