Problem 1: Two-level system. Canonical ensemble.

icon
Related questions
Question
Problem 1: Two-level system. Canonical ensemble.
Consider N impurity atoms trapped in a solid matrix.
Each impurity can be in one of two states, with energies 0 and ɛ, respectively.
The energy level are non-degenerate.
1) Compute the partition function Z, for one subsystem (i.e. one impurity atom).
2) Compute the partition function Z for the system.
3) Deduce the free energy.
4) Deduce the entropy.
5) Deduce the internal energy.
Problem 2: Two-level system. Canonical ensemble.
Redo the above problem. We assume that the ground level is non degenerate
and the excited level is g-fold degenerate.
Transcribed Image Text:Problem 1: Two-level system. Canonical ensemble. Consider N impurity atoms trapped in a solid matrix. Each impurity can be in one of two states, with energies 0 and ɛ, respectively. The energy level are non-degenerate. 1) Compute the partition function Z, for one subsystem (i.e. one impurity atom). 2) Compute the partition function Z for the system. 3) Deduce the free energy. 4) Deduce the entropy. 5) Deduce the internal energy. Problem 2: Two-level system. Canonical ensemble. Redo the above problem. We assume that the ground level is non degenerate and the excited level is g-fold degenerate.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer