P30+PS+5+solutions-1

P30+PS+5+solutions-1 - I would rather have a root canal...

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Unformatted text preview: I would rather have a root canal than do physics in Excel. I did this problem in Mathematica: see the included PDF and the course webpage for my Mathematica notebook. Problem 3.24 Multiplicity, entropy and energy (by construction) In[1]:= G y q G , N G y G y N G 1 G q y G q G G y N G 1 y G ; In[2]:= S y q G , N G y G k Log y G y q, N y y ; In[3]:= U y q G y G q; Temperature and heat capacity () y derivatives approximated with "small" dq In[4]:= dq G 1; In[5]:= T y q G , N G y G U y q G dq y G U y q G dq y S y q G dq, N y G S y q G dq, N y ; CV y q G , N G y G U y q G dq y G U y q G dq y T y q G dq, N y G T y q G dq, N y ; y Exact derivatives (relying on Mathematica converting factorials to gamma functions) In[7]:= T y q G , N G y G q U y q y q S y q, N y ; CV y q G , N G y G q U y q y q T y q, N y ; Plots of energy, entropy, temperature and heat capacity In[9]:= p1 G ParametricPlot y y U y q y y , S y q, 50 y y k y , y q, 0, 100 y , AxesLabel G y "energy y ", "entropy y k" y y ; In[10]:= p2 G ParametricPlot y y U y q y y , S...
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P30+PS+5+solutions-1 - I would rather have a root canal...

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