Equilibrium Statistical Physics, Plischke ex. 1.2

2 replies · 2K views · last reply
percolator
Messages
3
Reaction score
0

Homework Statement



See: attached imageHow do we get the final equation? I'm obviously missing out on something..
 
Attachments
  • Printed derivation: integrating M^2/(2C) from i to f equals the integral from T_i to T_f of dT times C_M(T)/T; assuming C_M constant gives (1/T) exp(M^2/(2CC_M)) = const along an adiabat.
    statphys_1.2.PNG
    16.9 KB · Views: 543

Discussion

$$
\int_{T_i}^{T_f} dT \left( \frac{C_M}{T} \right) = C_M \int_{T_i}^{T_f} \frac{dT}{T} = C_M \ln T
$$
Can you take it from there?
 

Similar threads

Physics Non-equilibrium statistical physics and complex systems
  • Tim667
  • · Replies 1 ·
  • STEM Career Guidance
Replies
1
Statistical physics - does total energy matter, or only differences?
  • laser1
  • · Replies 6 ·
  • Advanced Physics Homework Help
Replies
6
Studying Publishing research in statistical physics during master's degree
  • theconfusedphysicist
  • · Replies 22 ·
  • STEM Academic Advising
Replies
22
Undergrad Balloon experiment - Classical Physics vs. Statistical Physics
  • Juanda
  • · Replies 16 ·
  • Thermodynamics
Replies
16
Intro Physics Opinions on books for (self) studies in statistical physics
  • ipsky
  • · Replies 21 ·
  • Science and Math Textbooks
Replies
21
Courses Is thermodynamics taught separately or within statistical physics?
  • TGV320
  • · Replies 7 ·
  • STEM Academic Advising
Replies
7
Undergrad Reading course in statistical physics
  • Philip Koeck
  • · Replies 32 ·
  • Thermodynamics
2
Replies
32
Book recommendations for Non-Equilibrium Statistical Physics
  • RobTroy
  • · Replies 4 ·
  • Science and Math Textbooks
Replies
4
Undergrad Statistical Physics - Equilibrium
  • SchroedingersLion
  • · Replies 5 ·
  • Thermodynamics
Replies
5
Archived Statistical physics Q: macrostates
  • Irishdoug
  • · Replies 1 ·
  • Introductory Physics Homework Help
Replies
1