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Introduction To Statistical Mechanics
Online
8 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Guwahati (IITG) |
The Syllabus
- Review of thermodynamics, Hamiltonian mechanics of classical and quantum systems.
- Microcanonical ensemble and the concept of entropy. Examples of systems with finite and infinitely many degrees of freedom. Counting of states and entropy in quantum systems.
- Canonical ensemble and the concept of temperature. Relation between canonical and microcanonical ensembles and partition functions. Thermodynamic potentials and Legendre transformations. Examples from classical and quantum systems.
- Other ensembles and their related thermodynamic potentials Concept of fugacity, pressure of an ideal gas. Equation of state of an ideal classical gas.
- Equation of state of ideal Bose and Fermi gases. Bose Einstein condensation and Fermi degeneracy pressure.
- Non-ideal gas: Van der Waals equation of state. Concept of phase diagram
- Magnetic insulators: Ising model, Potts model Solution on 1D lattice using transfer matrix method. Solution in large dimensions using mean field theory.
- Pauli paramagnetism and temperature dependent susceptibility, electronic contribution to specific heat of solids. Deybe and Einstein theory of specific heat of solids