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Unformatted text preview: Homework #6 — PHYS 404 — Fall 2011 Deadline: Thursday, October 20, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: Daniel V. Schroeder, An Introduction to Thermal Physics Addison Wesley Longman, 2000, ISBN 0-201-38027-7 Do not forget to write your name and the homework number! Total score is 40 points. Ch.3 Interactions and Implications 1. Problem 3.20, 5 points. Two-state paramagnet. Use the magnetic field 3 T and the temperature 1 K instead of the values given in the Problem. First calculate μ B B/kT . Then, use Eqs. (3.31) and (3.32) to calculate the energy U and the magnetization M . You don’t need the value of N , because you will be calculating U and M as the dimensionless fractions of their maximal possible values. To calculate the entropy S , use the following procedure. As we discussed in class, Eq. (3.28) for the entropy can be written as S k = N ln N- N + Δ N 2 ln N + Δ N 2- N- Δ N...
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