Details of PH3201 (Spring 2017)
Level: 6  Type: Theory  Credits: 3.0 
Course Code  Course Name  Instructor(s) 

PH3201  Basic Statistical Mechanics  Golam Mortuza Hossain 
Syllabus 

Connection between statistics and thermodynamics; Concept of microstates phase space and its connection to Entropy; Classical Ideal Gas and the Maxwell Boltzmann Distribution, Entropy of mixing and Gibbs Paradox;
Liouvilles Theorem, Microcanonical Ensemble, Canonical Ensemble and Partition Function calculation for various systems; Energy fluctuations in the Canonical Ensemble; Grand Canonical Ensemble; Number Density and Energy Fluctuations in the Grand Canonical ensemble; Quantum Statistics and calculation of the Density matrix for various systems; Indistinguishability of Particles, Symmetric and AntiSymmetric wave functions and calculation of the the BoseEinstein and FermiDirac Distribution for a quantum Ideal Gas; Thermodynamic behaviour of an Ideal Bose Gas, BlackBody radiation and other applications of BoseEinstein statistics; Thermodynamic behaviour of an ideal Fermi gas and various applications of FermiDirac statistics such as Pauli paramagnetism and calculation of Chandasekhar limit in White Dwarf stars; Cluster expansion techniques for interacting systems; Introduction to basic ideas of phase transitions via Ising model and Van der Waals gas, exact solution of the Ising model in 1D; Boltzmanns Equation and the HTheorem; Description of EinsteinSmoluchowski theory of Brownian motion as a stochastic process; Basic ideas behind the FokkerPlanck and Master equations with simple examples. 
References 


Course Credit Options
Sl. No.  Programme  Semester No  Course Choice 

1  IP  2  Core 
2  IP  4  Not Allowed 
3  IP  6  Not Allowed 
4  MR  2  Elective 
5  MR  4  Not Allowed 
6  MS  6  Core 
7  RS  1  Elective 
8  RS  2  Elective 