s in thermal contact ystems of noninteracting Their initial energies are

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Two magnetic systems in thermal contact
Consider two isolated systems of noninteracting spins with
NA = 4 and NB = 16. Their initial energies are EA = -2µB
and EB= -2µB.
(a) What is the total number of microstates available to the
composite system?
(b) If the two systems are now allowed to exchange energy
with one another, what is the probability that system A has
energy EA?
(c) What is the mean value of EA and its relative
fluctuations? Calculate the analogous quantities for system
В.
(d) What is the most probable macrostate for the composite
system?
Transcribed Image Text:Two magnetic systems in thermal contact Consider two isolated systems of noninteracting spins with NA = 4 and NB = 16. Their initial energies are EA = -2µB and EB= -2µB. (a) What is the total number of microstates available to the composite system? (b) If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA? (c) What is the mean value of EA and its relative fluctuations? Calculate the analogous quantities for system В. (d) What is the most probable macrostate for the composite system?
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