Problem 4.52. Consider the system illustrated in Figure 4.91 The system consists of two dis-tinguishable particles, each of which can be in either of two boxes. The system is in thermalequilibrium with a heat bath at temperature T. Assume that the energy of a particle is zero if it isin the left box and r if it is in the right box. There is also a correlation energy term that increasesthe energy by A if the two particles are in the same box.(a) Enumerate the 22 = 4 microstates and their corresponding energy.(b) Calculate the partition function Z for arbitrary values of r and A and use your result to findthe mean energy.(c) What is the probability that the system is in a particular microstate?(d) Suppose that r =1 and A = 15. Sketch the qualitative behavior of the heat capacity C as afunction of T. Figure 4.9: The two particles considered in Problem 4.521 The two distinguishable particles caneach be in one of the two boxes. The energy of the system depends on which box the particlesоссиру.

Statistical mechanics is a field of physics in which systems with a large number of particles are…

Answered: Problem 4.52. Consider the system…

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