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M.Sc. (Physics) | Curriculum | Subject: Statistical Mechanics | Subject Code: 09020301

Curriculum

Subject: Statistical Mechanics

Subject Code: 09020301

S. No.

Topic

Learning Objective

Teaching guidelines

Methodology

Time (Hrs)

1
  • Phase space
  • Liouville’s theorem,
  • Ensemble and Ensemble average.
  • The microscopic and macroscopic states,
  • Concept of equal a priori probability,
  • statistical equilibrium,
  • micro canonical ensemble,
  • Quantization of phase space,
  • Classic limit.
  • Symmetry of wave functions.
To acquire the fundamental knowledge of classical and quantum
statistical mechanics; construct a bridge between macroscopic thermodynamics and microscopic
statistical mechanics.
To cover Phase space, Liouville’s theorem, Ensemble and Ensemble average, The microscopic and macroscopic states, Concept of equal a priori probability, statistical equilibrium, micro canonical ensemble, Quantization of phase space and Classic limit.
Symmetry of wave functions
  • Lecture.
  • Seminar.
  • Discussion/Interaction with Students.
  • Assignment.
  • Discussion on Assignment.         Evaluation of Assignment

 

10
2
  • The   micro-canonical ensemble    theory    and  its    application  to    ideal   gas    of   monatomic
  • particles; canonical ensemble and its thermodynamics,
  • partition function;
  • classical ideal gas in canonical ensemble theory,
  • energy fluctuations; Equipartition and  Virial theorems,
  • a system of quantum harmonic oscillators as canonical ensemble;
  • Statistics of paramagnetism;
  • The grand canonical ensemble and  significance of statistical quantities,
  • classical ideal gas in grand canonical ensemble theory;
  • density and energy fluctuations.
To describe and apply the central concepts of statistical mechanics in Micro-canonical, Canonical and Grandcanonical ensemble To cover micro-canonical ensemble    theory    and  its    application  to    ideal   gas    of   monatomic particles; canonical ensemble and its thermodynamics, partition function; classical ideal gas in canonical ensemble theory, energy fluctuations; Equipartition and  Virial theorems,  a system of quantum harmonic oscillators as canonical ensemble; Statistics of paramagnetism; The grand canonical ensemble and  significance of statistical quantities, classical ideal gas in grand canonical ensemble theory; density and energy fluctuations.
  • Lecture.
  • Seminar.
  • Discussion/Interaction with Students.
  • Assignment.
  • Discussion on Assignment.         Evaluation of Assignment

 

10
3
  • Quantum states and phase space;
  • an ideal gas in quantum mechanical ensembles;
  • Ideal Bose system,
  • basic concepts and thermodynamic behavior of an Ideal Bose gas;
  • Bose-Einstein condensation; gas of photons (the radiation fields) and gas of photons (the Debye filed);
  • Ideal Fermi systems;
  • the thermodynamic behavior of an Ideal Fermi gas,
  • discussion of heat capacity of a free electron gas at low temperatures;
  • Pauli parameters,
  • Boltzmann H-Theorem
To describe the methods of statistical mechanics to develop the statistics for Bose-Einstein, Fermi-Dirac and photon gases; selected topics from low temperature physics and thermal properties of matter are discussed. To cover quantum states and phase space;  an ideal gas in quantum mechanical ensembles; Ideal Bose system, basic concepts and thermodynamic behavior of an Ideal Bose gas; Bose-Einstein condensation; gas of photons (the radiation fields) and gas of photons (the Debye filed); Ideal Fermi systems; the thermodynamic behavior of an Ideal Fermi gas, discussion of heat capacity of a free electron gas at low temperatures; Pauli parameters,
Boltzmann H-Theorem.
  • Lecture.
  • Seminar.
  • Discussion/Interaction with Students.
  • Assignment.
  • Discussion on Assignment.         Evaluation of Assignment

 

10
4
  • a dynamical model of phase transitions,
  • Critical indices,
  • Ising model,
  • Thermodynamic fluctuations,
  • random walk
  • Brownian motion,
  • introduction to non-equilibrium processes,
  • diffusion equation.
To quantitatively describe Brownian motion and diffusion including Random walk concepts. To cover  Introduction, a dynamical model of phase transitions, Critical indices, Ising model, Thermodynamic fluctuations, random walk, Brownian motion, introduction to non-equilibrium processes and diffusion equation.
  • Lecture.
  • Seminar.
  • Discussion/Interaction with Students.
  • Assignment.
  • Discussion on Assignment.         Evaluation of Assignment

 

10