Question

Show that the partition function Z(1 + 2) of two independent systems 1 and 2 in thermal contact at a common temperature τ is equal to the product of the partition functions of the separate systems: Z(1 + 2) = Z(1)Z(2)

Name: show that the partition function z1 2 of two independent systems 1 and 2 in thermal contact at a common temperature is equal to the product of the partition functions of the separate systems 06572
Uploaded: 2022-06-29T12:24:56-08:00
Duration: 2 min 43 s
Channel: Adi S
Description: show that the partition function z1 2 of two independent systems 1 and 2 in thermal contact at a common temperature is equal to the product of the partition functions of the separate systems 06572

          Show that the partition function Z(1 + 2) of two independent systems 1 and 2 in thermal contact at a common temperature τ is equal to the product of the partition functions of the separate systems: Z(1 + 2) = Z(1)Z(2)

Added by William M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/29/2022

Step 1

For any system at temperature τ (with β = 1/(kτ)), the partition function is given by Z = Σ exp(-βE), where the sum runs over all possible microstates of the system. Show more…

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Show that the partition function Z(1 + 2) of two independent systems 1 and 2 in thermal contact at a common temperature τ is equal to the product of the partition functions of the separate systems: Z(1 + 2) = Z(1)Z(2)