Details of PH3201 (Spring 2020)
Level: 6  Type: Theory  Credits: 4.0 
Course Code  Course Name  Instructor(s) 

PH3201  Basic Statistical Mechanics  Narayan Banerjee 
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. 
Prerequisite 

Thermal Physics (premajor course) as well as Physics IV (premajor course) 
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  Not Allowed 
5  MR  4  Not Allowed 
6  MS  6  Core 
7  RS  1  Elective 
8  RS  2  Elective 