Problem 4.38. 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 Eg = –-2µB. (a) What is the total number of microstates available to the composite system? (b) Ifthe two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA?
Problem 4.38. 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 Eg = –-2µB. (a) What is the total number of microstates available to the composite system? (b) Ifthe two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA?
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![Problem 4.38. Two magnetic systems in thermal contact
Consider two isolated systems of noninteracting spins with NA
energies are EA = -2µB and Eg = -2µB.
= 4 and NB
= 16. Their initial
(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 B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb160b063-ed22-4bce-8b90-7d5a697e5425%2Ff8934e82-4363-47f6-ae9e-2a9c1e379fed%2F0k6qhhu_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4.38. Two magnetic systems in thermal contact
Consider two isolated systems of noninteracting spins with NA
energies are EA = -2µB and Eg = -2µB.
= 4 and NB
= 16. Their initial
(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 B.
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