|LEVEL||03 - Years 2, 3, 4 in Modular Undergraduate Course|
This study-unit aims to provide the student with a practical understanding of the principles and applications of statistical mechanics. It consists of:
- Introduction to equilibrium statistical mechanics: relation to thermodynamics and the microcanonical formalism;
- The canonical formalism;
- The grand canonical formalism;
- Revisiting the concept of entropy;
- Ideal quantum gases;
- Statistical perturbation theory;
- Magnetic systems;
- An introduction to phase transitions and critical phenomena;
- Beyond equilibrium statistical mechanics: Brownian motion and the Boltzmann equation.
Upon completion of this study-unit, students should be able to:
- Explain thermodynamics as logical consequences of the postulates of equilibrium statistical mechanics;
- Define and discuss the concepts and roles of entropy;
- Apply the principles of equilibrium statistical mechanics to various problems;
- Derive the Fermi-Dirac and Bose-Einstein distributions;
- Understand statistical perturbation theory;
- Describe first and second order phase transitions;
- Understand the basic notions and techniques of nonequilibrium statistical mechanics.
Main Text/s and any supplementary readings:
Statistical mechanics, F. Schwabl (Springer-Verlag, Berlin Heidelberg, 2006).
Thermodynamics and an introduction to Thermostatistics, H. B. Callen, (John Wiley & Sons, Singapore, 1985).
Statistical Mechanics, Selecta of Elliott H. Lieb (Springer-Verlag, Berlin Heidelberg, 2004).
|RULES/CONDITIONS||Before TAKING THIS UNIT YOU MUST TAKE PHY2185|
|METHOD OF ASSESSMENT||
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Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the study-unit description above applies to the academic year 2019/0, if study-unit is available during this academic year, and may be subject to change in subsequent years.