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

  1. Berkeley Series, Vol. V, Statistical Physics
  2. Reif – Thermodynamics and Statistical Physics.
  3. Lokanathan and Khandelwal – Thermodynamics and Statistical Physics
  4. Sears – Thermodynamics, Kinetic Theory of Gases and Statistical Physics
  5. Kittle – Thermal Physics