Text Reference |
Prescribed Text: Thermodynamics: M.W.Zemansky and R.H.Dittman, Heat and Thermodynamics (7th ed.) Mcgraw Hill 1997 H.B.Callen, Thermodynamics and Introduction to Thermostatistics (2nd ed.), John Wiley, 1985. C.J.Adkins, Equilibrium Thermodynamics,(3rd ed.) Cambridge University Press, 1983 Waves & Oscillations : Berkeley Physics Course (Vol 3) Waves by Frank S. Crawford Reference Texts: 1. Introduction to Mechanics by D. Kleppner and R. J. Kolenkow (for topics 1 and 2) 2. Introduction to Non-linear Dynamics by Steven Strogatz (for topics 3) 3. Mechanics by Landau and Lifshitz (for topics 4 to 7) 4. Mathematical Methods for Phycisists by G. Arfken and Weber (for topics 11 to 13) |
Description |
Thermodynamics: Thermal equilibrium, zeroth law and concept of temperature. First law and its consequences, reversible, irreversible and quasi-static processes. Second law: heat engines, concept of entropy and its statistical interpretation. Thermodynamic potentials, Maxwell302222s relations. Joule Kelvin effect. Phase transitions, order of phase transitions, order parameter, critical exponents and the Clausius-Clapeyron equation. Applications to magnetism , superfluidity and superconductivity. Waves & Oscillations :Simple Harmonic motion, damped SHM, critical damping, Sustaining oscillations in a damped oscillator. Driven oscillation, resonance, damped-driven oscillator and its resonance, Q-factor Vanderpol oscillator, non-linear feedback for sustained oscillations.SHM in 2-dim, dependence on initial conditions, Lissajous figures, condition for closed orbits,SHM in 3-dim. Oscillations of two particle systems, symmetric and asymmetric modes, general solution to the problem. Driven oscillations of two particle system.Oscillations of `n` particle systems, normal modes,Formulation of the general problem, eigenvalues and eigenvectors of normal modes, general solution for arbitrary initial conditions. Driven oscillations.Example of a linear triatomic molecule. Longitudinal and transverse oscillations, modding out the zero frequencies. Oscillations of a chain of `n` atoms. Continuum limit,vibrational modes of a string of constant density.Equation of Motion for waves, Standing waves and travelling waves in 1 dimensions. Properties of waves in two and three dimensions Harmonics, Linear superposition of harmonics, odd harmonics, construction of pulse shapesFourier components of a periodic pulse, Fourier analysis and Fourier coefficients.Fourier analysis of arbitrary functions, Fourier Coefficients, Properties of Fourier transform. |