Statistical and Solid-State Physics

Paper Code: 
24DPHY803
Credits: 
06
Contact Hours: 
90.00
Max. Marks: 
100.00
Objective: 

 This course will enable the students:

  • To provide knowledge of Partition functions, Statistics, Band Theory  of solids to solve to various types of applications and problems
  • To make students able to apply knowledge acquired from this paper to realistic problems of Condensed Matter and Solid State Physics.
Course Outcomes: 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment 

Strategies

Course Code

Course Title

24DPHY 803

 

Statistical and Solid State Physics

 (Theory)

 

CO161: Discuss the principles of Canonical, Grand Canonical ensembles solve different applications.

CO162: Develop the knowledge of Partition functions, Statistics, partition function.

CO163: Analysequantum distribution functions and apply them to solve different problems.

CO164: Build an idea about Theory of Metals, thermal conductivity and electrical conductivity.

CO165: Develop basic knowledge of band theory,.

CO166: Contribute effectively in Course specific interaction

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, , Demonstration, Problem Solving in tutorials

 

Learning activities for the students:

Self-learning assignments, Effective questions, Seminar presentation, Solving numericals. Additional learning through online videos and MOOC courses.

Class test, Semester end examinations, Quiz, Solving problems, Assignments, Presentations

 

19.00
Unit I: 
Ensemble and Basic Principles

Concept of statistical distribution, phase space, density of states ,Liouville's theorem, systems and ensemble, entropy in statistical mechanics, Connection between thermodynamic and statistical quantities, micro canonical ensemble, equation of state, specific heat and entropy of a perfect gas using microcanonical ensemble.

Canonical ensemble, thermodynamic functions for the canonical ensemble, calculation of mean value, energy fluctuation in a gas, grand canonical ensemble, thermodynamic functions for the grand canonical ensemble, density fluctuations.

17.00
Unit II: 
Partition functions and Statistics

Partition functions and properties, partition function for an ideal gas and calculation of thermodynamic quantities, Gibbs Paradox, validity of classical approximation, determination of translational, rotational and vibration contributions to the partition function of an ideal diatomic gas. Specific heat of a diatomic gas, ortho and para hydrogen.

19.00
Unit III: 
Classical and Quantum Statistics

Identical particles and symmetry requirement, difficulties with Maxwell-Boltzmann statistics, quantum distribution functions, Bose Einstein and Fermi-Dirac statistics and Planck's formula, Bose Einstein condensation, liquid He4 as a Boson system, quantization of harmonic oscillator and creation and annihilation of phonon operators, quantization of fermion operators.

17.00
Unit IV: 
Theory of Metals

Fermi-Dirac distribution function, density of states, temperature dependence of Fermi energy, specific heat, use of Fermi-Dirac statistics in the calculation of thermal conductivity and electrical conductivity, Drude theory of light, absorption in metals. 

18.00
Unit V: 
Band Theory

Bloch theorem, Kroning Penny model, effective mass of electrons, Wigner-Seitz approximation, NFE model, tight binding method and calculation of density for a band in simple cubic lattice, pseudo potential method.

Essential Readings: 

·     “Elementary Statistical Mechanics”, Kittle.

·     “Introduction to Solid State Physics”. Kittle.

 

Suggested Readings: 

·       ” Fundamentals of Statistical and Thermodynamical Physics”, Reif.

·       “Statistical mechanics and Thermal Physics”, Rice.

·       “Statistical Mechanics “,Huag.

·        “Solid State Physics”. Palteros.

·       “Solid State Physics.” Levy.

 

E content:

·       http://www.fulviofrisone.com/attachments/article/413/Kittel%20-%20Thermo....

·       https://www.eng.uc.edu/~beaucag/Classes/AdvancedMaterialsThermodynamics/...(1980).pd

·       http://metal.elte.hu/~groma/Anyagtudomany/kittel.pdf.

Academic Year: