A5 - PHYS 258 - Thermal Physics: Assignment 5 Due Monday...

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PHYS 258 - Thermal Physics: Assignment 5 Due Monday February 14 Student ID: Last Name: Score: ___________/13 1. [4] Large Einstein Solid in the “Low Temperature” Limit. In class we derived an approximate expression for the multiplicity of a large Einstein solid ((q>>1, N>>1) in the high temperature limit ( q >> N) : N N eq q N Ω ) , ( Using a similar approach, derive an approximate expression for the multiplicity of a large Einstein solid (q>>1, N>>1) in the low temperature limit: q << N
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2. [4] Large Two-State Paramagnet in the “Low Temperature” Limit. Consider a large (N>>1) two-state paramagnetic system with N magnetic dipoles, and let n (n>>1) denote the number of magnetic dipoles in the excited state (i.e., containing one unit of energy), and the rest of dipoles are in the ground state (0 unit of energy) [3] Use the approximation for large m to find an approximate formula for the multiplicity of the system in the limit n << N to obtain m n m e m
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A5 - PHYS 258 - Thermal Physics: Assignment 5 Due Monday...

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