Course

UNIT 1:Review of thermodynamic variables and thermodynamic potentials. The meaning of probability- definitions of sample space, events etc., types of random variables and probability mass and distribution functions; Functions of one and two random variables; Joint probabilities; Moments of a distribution; Correlation; The binomial distribution, Normal distribution, and the 1D random walk problem.UNIT 2:Foundations of statistical mechanics- specification of micro and macro states of a system- contact between statistics and thermodynamics-classical ideal gas- ensembles in statistical mechanics.UNIT 3:Micro, canonical, and Grand canonical ensembles Partition functions of the ensembles relation between partition function and thermodynamic quantities – Partition function of the ideal gas in a canonical ensemble – phase space – trajectories and density of states – calculation of statistical quantities – Energy and density fluctuations.UNIT 4:Statistics of particles from partition functions Classical and Quantum statistics: Maxwell- Boltzman, Fermi Dirac and Bose Einstein statistics-properties of ideal Bose and Fermi gases- Bose-Einstein condensationUNIT 5:Phase transitions- thermodynamic phase diagram for real gas- the Ising model

Course Objective:This course aims to provide a comprehensive understanding of thermodynamic potentials, ensembles, partition functions, and phase transitions. Students will develop the ability to apply statistical and thermodynamic concepts to both classical and quantum systems.Course Outcomes:CO 1: Understand the basic laws of Thermodynamics and thermodynamic potentialsCO 2: Understand basic ideas of probability, probability distribution, and statistics and their correlation to physical principlesCO 3: Understand the concept of ensembles and partition function and the use of the partition function in thermodynamics for both classical and quantum systemsCO 4: Understand phase transitions from Thermodynamics and Statistical mechanics principles.

TEXT BOOKS:1.Mark Zemansky, Richard Dittman, Heat and Thermodynamics, 8th Edition, McGraw-Hill, 2017.2.F Reif, Foundations of Statistical and Thermal Physics, Tata McGraw-Hill, 20083.Kuriakose and Rajaram, Chemical Thermodynamics: Classical, Statistical and Irreversible, First Edition, Pearson Education India.REFERENCE BOOKS:1.Statistical Thermodynamics for Beginners, Howard D Stidham, World Scientific Pub., 2017.2.Walter Greiner, Ludwig Neisse, Horst Stocker, Thermodynamics and statistical mechanics, 1st Ed, Springer, 1995, 3rd reprint 2001.3.Sears. F. W and Salinger. G. L, Thermodynamics Kinetic Theory and Statistical Thermodynamics, 3rd Ed, Addison Wesley, 1998.4.Hugh. D. Young and Freedman, Sears & Zemanskys University Physics, 13th Ed, Pearson, 2013.