set4 - Department of Physics Prof. R. Bundschuh The Ohio...

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Unformatted text preview: Department of Physics Prof. R. Bundschuh The Ohio State University Fourth Problem Set for Physics 847 (Statistical Physics II) Winter quarter 2004 Important dates: Feb 10 10:30am-12:18pm midterm exam, Mar 16 9:30am-11:18am final exam Due date: Tuesday, Feb 3 10. A two-dimensional solid 10 points Consider a two-dimensional lattice in the x- y-plane with sides of length L x and L y which contains N atoms ( N very large) coupled by nearest-neighbor harmonic forces. a) Compute the Debeye frequency for this lattice. Note, that although the atoms are in a two-dimensional lattice they can still oscillate in three space directions. However, in a planar solid, there are three sound velocities: one transversal within the plane of the solid, one transversal out of the plane of the solid, and one logitudinal. b) Calculate the heat capacity of this solid. You may use the results from the lecture that are independent of the dimension of the solid without rederiving them. c) What is the asymptotic behavior of the heat capacity for very large temperatures?...
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set4 - Department of Physics Prof. R. Bundschuh The Ohio...

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