Overview

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COURSE OUTLINE: The course provides a fundamental understanding of Thermodynamics and Statistical Mechanics. It starts with the fundamental concepts of thermodynamics and builds on its foundation, the principles of statistical mechanics. It does not require a prior exposure to the topics.

ABOUT INSTRUCTOR: Dr. Dipanjan Chakraborty completed his graduation from Presidency University (formerly Presidency College), Kolkata in 2001, followed by MSc. in Physics from IIT Kanpur. He got his PhD degree from Jadavpur University, Kolkata in 2010. Subsequently he did two post-doctoral stints in ITP, Leipzig, Germany and MPI-IS, Stuttgart, Germany. He joined the Physics department at IISER Mohali in 2013.

Syllabus

Statistical Mechanics.
mod01lec01 - Introduction to Thermodynamics.
mod01lec02 - Laws of Thermodynamics.
mod01lec03 - Second Law of Thermodynamics and Heat Engines.
mod01lec04 - Entropy, Clausius Inequality, Thermodynamic Processes and Systems.
mod02lec05 - Extensivity of Entropy and Internal Energy, Gibbs Duhem relation.
mod02lec06 - Exact and Inexact differentials, Legendre Transformation.
mod02lec07 - Free Energy in Thermodynamics.
mod02lec08 - Maxwell's relations - Part I.
mod02lec09 - Maxwell's relations - Part II.
mod03lec10 - Maxwell's relations - Part III.
mod03lec11 - Response Functions and manipulating Partial Derivatives.
mod03lec12 - Working With Thermodynamics.
mod03lec13 - Joule Expansion and Joule Thomson Effect.
mod03lec14 - Stability of Thermodynamic Potentials.
mod03lec15 - Consequences of Stability of Thermodynamic Potentials.
mod04lec16 - Conditions of Equilibrium and Gibbs Phase Rule.
mod04lec17 - Introduction to Probability.
mod04lec18 - Discrete and Continuous Distributions.
mod04lec19 - Central Limit Theorem and Statistical Entropy.
mod04lec20 - Classical Probability Density and Liouville Equation.
mod05lec21 - Classical Probability Density, Ergodicity and Microcanonical Ensemble.
mod05lec22 - Microcanonical Ensemble.
mod05lec23 - Examples of Microcanonical Ensemble- Two Level System.
mod05lec24 - Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part I.
mod05lec25 - Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part II.
mod06lec26 - Examples of Microcanonical Ensemble - Ultra-Relativistic Gas.
mod06lec27 - Microcanonical Ultrarelativistic Gas and Quantum Solid.
mod06lec28 - Microcanonical Excluded Volume.
mod06lec29 - Canonical Ensemble.
mod06lec30 - Canonical Ensemble Paramagnet.
mod06lec31 - Canonical Ensemble Ideal Gas.
mod06lec32 - Canonical Ensemble Einstein Solid.
mod07lec33 - Grand Canonical Ensemble.
mod07lec34 - Grand Canonical Ensemble Ideal Gas - Part I.
mod07lec35 - Grand Canonical Ensemble Ideal Gas - Part II.
mod07lec36 - MicroCanonical to Canonical - Part I.
mod07lec37 - MicroCanonical to Canonical - Part II.
mod07lec38 - Interacting System - Part I.
mod08lec39 - Interacting System - Part II.
mod08lec40 - Van-Der Waals Equation of State.
mod08lec41 - Quantum Statistical Mechanics Density Matrix.
mod08lec42 - Density Matrix in different Ensembles.
mod08lec43 - Free Particle Quantum Canonical Partition Function Free.
mod09lec44 - Single Particle Quantum Partition Function Harmonic Oscillator - Part I.
mod09lec45 - Single Particle Quantum Partition Function Harmonic Oscillator - Part II.
mod09lec46 - Wigner Transformation.
mod09lec47 - N - Particle partition function.
mod09lec48 - Canonical Formulation of Ideal Gas.
mod10lec49 - Grand Canonical Formulation of Ideal Gas.
mod10lec50 - High Temperature Expansion.
mod10lec51 - Degenerate Fermi Gas.
mod10lec52 - Ideal Fermi Gas close to T=0, Chemical Potential and Specific Heat.
mod10lec53 - Relativistic Fermi Gas at T=0.
mod11lec54 - Ideal Bose Gas.
mod11lec55 - Bose-Einstein Condensation.
mod11lec56 - Pressure of an Ideal Bose Gas.
mod11lec57 - Specific Heat of an Ideal Bose Gas - Part 01.
mod11lec58 - Specific Heat of an Ideal Bose Gas - Part 02.
mod11lec59 - Bose-Einstein Condensation in a Harmonically Trapped Bose Gas.
mod12lec60 - Specific Heat of a Harmonically Trapped Bose Gas.
mod12lec61 - General Treatment of a Bose gas - Part 01.
mod12lec62 - General Treatment of a Bose gas - Part 02.
mod12lec63 - Discontinuity in the Specific Heat of a Bose Gas - Part 01.
mod12lec64 - Discontinuity in the Specific Heat of a Bose Gas - Part 02.
mod12lec65 - Ultra Relativistic Bose Gas Stefan Boltzmann Law.