Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
(a) Show that: ´Ə In Z = kT² (b) Show that: 1 (&z' < E² > (c) Recall the definition of heat capacity at constant volume: au Cy = aT %3D

(a) Show that: ´Ə In Z = kT² (b) Show that: 1 (&z' < E² > (c) Recall the definition of heat capacity at constant volume: au Cy = aT %3D

icon
Related questions
Question
Consider a canonical ensemble. (a) Show that: Ə In Z <E > = kT² ƏT (b) Show that: < E² > z (aB2 (c) Recall the definition of heat capacity at constant volume: Cp = aT In the case of a canonical ensemble, <E> is used for U in the above expression. Perform the necessary partial differentiation to obtain an expression for C, in terms of <E?>, <E>, and kT. (d) Suppose we define: SE = E – < E > Show that: < (SE)² > kT² (e) Show that: -d < E > < E² > - < E >²=
Transcribed Image Text:Consider a canonical ensemble. (a) Show that: Ə In Z <E > = kT² ƏT (b) Show that: < E² > z (aB2 (c) Recall the definition of heat capacity at constant volume: Cp = aT In the case of a canonical ensemble, <E> is used for U in the above expression. Perform the necessary partial differentiation to obtain an expression for C, in terms of <E?>, <E>, and kT. (d) Suppose we define: SE = E – < E > Show that: < (SE)² > kT² (e) Show that: -d < E > < E² > - < E >²=
Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions