PHZ3400 Midterm Two Solution: Difference between revisions
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'' Explain the concept of the "Thermodynamic Limit", and present the corresponding domain wall argument (derivation of a formula) to estimate the relaxation time as a function of system size, at T < Tc.'' | '' Explain the concept of the "Thermodynamic Limit", and present the corresponding domain wall argument (derivation of a formula) to estimate the relaxation time as a function of system size, at T < Tc.'' | ||
The partition function which applies in this case is <math>Z = \sum_{n}^{\infty}\varepsilon^{-\beta E_n}</math> where n=number of particles | The partition function which applies in this case is <math>Z = \sum_{n}^{\infty}\varepsilon^{-\beta E_n}</math> where n=number of particles. As <math> n\rightarrow \infty</math> | ||
===Problem 2=== | ===Problem 2=== | ||
Revision as of 15:57, 15 April 2009
PHZ 3400 – Midterm Two Exam (with solutions) – April 10, 2009
Problem 1
Explain the concept of the "Thermodynamic Limit", and present the corresponding domain wall argument (derivation of a formula) to estimate the relaxation time as a function of system size, at T < Tc.
The partition function which applies in this case is where n=number of particles. As
Problem 2
Sketch the magnetization of a ferromagnet as a function of temperature T, for (A) Zero external magnetic field and (B) Finite external magnetic field. How is the behavior around the Curie Temperature (Tc) affected by the field?