Statistical Mechanics Important Questions

 Bsc/Msc Physics 

Unit 1

1. Write a short notes on Foundation of Statistical Mechanics? 
2. Explain the Relation between statistics and thermodynamics?
3. Explain the Classical ideal gas entropy of mixing?
4. Explain the Gibb's Paradox? 
5. Explain Phase space?
6. Explain Ensembles (Micro-canonical, Grand-canonical and canonical)?
7. What is the Density of states?
8. State and prove Liouville Theorem?
9. Define the Partition function? 
10. Write a short notes on Statistical quantities?
11. What is the Fluctuations (energy and density)? Explain it?
12. What is entropy? Find the expression of ideal gas entropy?

Unit 2

1. What do you mean by Statistics of ensembles?
2. Write a detailed notes on Statistics of indistinguishable particles?
3. What is the Density Matrix? 
4. Explain the Properties of ideal Bose gas? 
5. Explain the Properties of ideal Fermi gas? 
6. What do you mean by Electron gas in metal? 
7.  Deduce an expression for the Boltzman transport equation?
8. Discuss in detail of Bose—Einstein condensation?
9. Explain the Maxwell—Boltzman statistics? 
10. Explain the Bose—Einstein statistics?
11. Explain the Fermi—Dirac statistics? 
12. Write some properties of ideal gas?
13. What do you mean by symmetric and anti symmetric wave function?

Unit 3

1. Explain the Cluster expansion for classical gas?
2. Explain the Virial equation for State? 
3. Deduce an expression for Mean field theory of icing model in 3,2,1 dimension? 
4. What is the isothermal state? Explain the mean field theory of ising model of one dimensional?
5. Obtain Exact solution in one dimension?
6. What is classical gas define its properties?

Unit 4

1. State and prove longevin theory of brownian motion?
2. What is thermodynamics fluctuation?
3. Obtain an expression for fokker plank equation?
4. Explain the brownian motion?
5. What do you mean by adiabatic demagnetization?
6. Explain the onsager relation?