Problem 2: Consider a system consisting of two Einstein solids, A and B, each containing N = 10 oscillators, and sharing a total of q = 20 units of energy. Assume that the two solids are weakly coupled and the total energy is fixed. a) How many different macrostates are available to the system? b) How many different microstates are available to the system? c) Calculate the probability of finding all the energy in solid A, assuming that the system is in thermal equilibrium. d) Calculate the probability of finding exactly half the energy in solid A.

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Problem 2:
Consider a system consisting of two Einstein solids, A and B, each containing N = 10
oscillators, and sharing a total of q = 20 units of energy. Assume that the two solids are
weakly coupled and the total energy is fixed.
a) How many different macrostates are available to the system?
b) How many different microstates are available to the system?
c) Calculate the probability of finding all the energy in solid A, assuming that the
system is in thermal equilibrium.
d) Calculate the probability of finding exactly half the energy in solid A.
Transcribed Image Text:Problem 2: Consider a system consisting of two Einstein solids, A and B, each containing N = 10 oscillators, and sharing a total of q = 20 units of energy. Assume that the two solids are weakly coupled and the total energy is fixed. a) How many different macrostates are available to the system? b) How many different microstates are available to the system? c) Calculate the probability of finding all the energy in solid A, assuming that the system is in thermal equilibrium. d) Calculate the probability of finding exactly half the energy in solid A.
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