# Thermodynamics and Statistical Physics

B.Sc. pt II course

Syllabus | In classes | Links | References

**Dates and timings: **

Wednesday and Thursday, 08:00 AM – 09:00 AM (IST)

**Starting date: **

Revision of pre-requisites from August 3,

new course material from August 10, 2016

## In class

**Revision Lecture 0.1, 0.2: Introduction to Mechanics**: 3 and 4 August 2016**Revision Lecture 0.3, 0.4: Classical mechanics and statistics**: 10 and 11 August 2016**Lecture 1: Classical Statistics (an introduction)**: 17 August 2016**Holiday: Rakshabandhan**: 18 August 2016**Lecture 2: Validity of Classical approximation**: 24 August 2016**Lecture 3: Some examples of classical approximation**: 25 August 2016**Students election:**: 31 August 2016**Holiday: Student president power**: 1 September 2016**Lecture 4: Phase space, micro and macro states**: 7 September 2016**Lecture 5: Identical and distinguishable**: 8 September 2016**Lecture 6: Thermodynamics probability**: 14 September 2016**Holiday: Anant Chaturdashi (Hindu and Jain festival)**: 15 September 2016**Lecture 7: Some solutions for thermodynamics probability**: 21 September 2016**Lecture 8: Some examples of thermodynamics probability**: 22 September 2016**Lecture 9: M-B Statistics**: 28 September 2016**Lecture 10: Relation between entropy and thermodynamic probability**: 29 September 2016**Lecture 11: Introduction of monoatomic ideal gas**: 5 October 2016**Lecture 12: Problem discussion**: 6 October 2016**Holiday: Muharram (Muslim festival)**: 12 October 2016**Lecture 13: Spin of a particle**: 13 October 2016**Lecture 14: Applications of M-B Statistics**: 19 October 2016**Lecture 15: Black body**: 20 October 2016**Special Holiday: University holiday**: 26 October 2016**Special Holiday: University holiday**: 27 October 2016**Lecture 16: Postulates quantum statistics**: 2 November 2016**Lecture 17: Wave function and exchange degeneracy**: 3 November 2016**Lecture 18: A priori-probability**: 9 November 2016**Lecture 19: Bose-Einsteion statistics**: 10 November 2016**Lecture 20: Explaination of Black body radiation with BE statistics**: 16 November 2016**Lecture 21: Discuss on previous classes**: 17 November 2016**Lecture 22: Thermal interaction and beta parameter**: 23 November 2016**Lecture 23: Zeroth law of thermodynamics**: 24 November 2016**Lecture 24: Introduction to thermal parameters (like free energy)**: 31 November 2016**Lecture 25: Discuss on previous class**: 1 December 2016**Lecture 26, 27: Temperature scale**: 7 December 2016**Lecture 28, 29: Problem solving**: 8 December 2016**Lecture 30: General interaction and first law of thermodynamics**: 14 December 2016**Lecture 31: Phase transitions; Clausius Clapeyron equation**: 15 December 2016**Lecture 32: Vapour pressure curve: Heat engine and efficiency of engine**: 21 December 2016**Science exhibition: teaching off**: 22 December 2016

THERE WERE CLASSES TILL THE END OF JANUARY 2017, couldn't get updated on website.

## Syllabus

### Unit I

**Thermal and adiabatic interactions:** Thermal interaction: Zeroth law of thermodynamics; System in thermal contact with a heat reservoir (canonical distribution); Energy fluctuations; Entropy of a system in a heat bath; Helmholtz free energy: Adiabatic interaction and enthalpy; General interaction and first law of thermodynamics; Infinitesimal general interaction' Gibb's free energy. Phase transitions; Clausius Clapeyron equation; Vapour pressure curve: Heat engine and efficiency of engine. Carnpt's Cycle; Thermodynamics scale as an absolute scale; Maxwell relations and their applications.

### Unit II

**Production of law temperatures and applications:** Joule Thomson expansion and J T coefficients for ideal as well as Vander Waal's gas, porous plug experiment, temperature inversion. Regenerative cooling, Cooling by adiabatic expansion and demagnetization; Liquid Helium. He I and He II, superfludity, Regrigeration through Helium dilution; Quest for absolute zero, Nernst heat theorem.

**The distribution of molecular velocities:** Distribution law of molecular velocities, most probable, average and r.m.s. velocities: Energy distribution function: effusion and molecular beam. Experimental verification of the Maxwell velocity distribution; The principle of equipartition of energy

**Transport phenomena:** Mean free path, distribution of free paths, cofficients of viscosity, thermal conductivity, diffusion and their interaction.

### Unit III

**Classical Statistics:** Validity of Classical approximation. Phase space, micro and macro states. Thermodynamics probability, relation between entropy and thermodynamic probability. Monoatomic ideal gas: Barometric equation; Specific heat capicity of diatomic gas; Heat capacity of solids.

### Unit IV

**Quantum Statistics:** Black body radiation and failure of classical statistics. Postulates quantum statistics, indistinguishibility, wave function and exchange degeneracy, a priori-probability; Bose-Einsteion statistics and its distribution function' Planck distribution function and radiation formula; Fermi-Dirac statistics and its distribution function. contact ptential, thermionic emission; Specific heat anomaly of metals; Nuclear spin statistics (para and ortho-hydrogen).

## Reference books

- Berkeley Series, Vol. V, Statistical Physics
- Reif – Thermodynamics and Statistical Physics.
- Lokanathan and Khandelwal – Thermodynamics and Statistical Physics
- Sears – Thermodynamics, Kinetic Theory of Gases and Statistical Physics
- Kittle – Thermal Physics