Courses Catalogue

Advanced Statistical Mechanics

COURSE CODE: PHY7211
COURSE CREDIT UNIT: 4
ACADEMIC PROGRAMME: Physics, M.Sc
COLLEGE/SCHOOL/FACULTY: School of Natural and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Postgraduate

Course Description

A calculus-based course in which the concepts of Statistical Thermodynamics are introduced from the microscopic point of view. Methods of statistical physics are used to define entropy and temperature, heat and work, ideal gas behavior. Other topics include Classical Statistical Mechanics, Ideal Fermi System, Quantum Statistics of Ideal Gases, Ideal Bose System, Applications of Statistical Mechanics and phase transformations, Ferromagnetic; Ferroelectric, Phase Transitions, Non Equilibrium Statistical Mechanics, Transport Theory.

COURSE JUSTIFICATION/RATIONALE

This course aims to give research students a working knowledge of advanced statistical mechanics techniques. This is at graduate course level aimed at covering a selection of material in Advanced Statistical Mechanics, including renormalization/phase transitions/cross-overs, fluctuation dissipation among others.

LEARNING OBJECTIVES

By the end of this course, the student should be able to:

Discuss probability arguments to understand heat flow and increasing entropy and use those arguments to solve quantitative problems in thermodynamics; use statistics to explain thermodynamics from first principles.

 Explain simple physical models to illustrate the fundamental ideas of thermodynamics and statistical mechanics.

Describe thermodynamic quantities such as heat capacity, enthalpy, Gibbs free energy, etc. to predict equilibrium states in physical systems; use the concept of free energy to understand how equilibrium arises and to construct phase diagrams and predict phase transformations.

Discuss the formalism of ensemble theory and solve problems related to thermodynamics.

Illustrate the techniques to systems with many degrees of freedom.

LEARNING OUTCOMES

A student completing the course is expected to demonstrate knowledge and understanding of:

heat flow and increasing entropy the fundamental ideas of thermodynamics and statistical mechanics.

The prediction of equilibrium states in physical systems; use the concept of free energy to understand how equilibrium arises and to construct phase diagrams and predict phase transformations.

ensemble theory and solve problems related to thermodynamics.

systems with many degrees of freedom