Level:Part II (yr 3)
Course Convenor:Dr OV Kolosov
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Prior to PHYS322, the student must have successfully completed:
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CMod descriptionback to top
Boltzmann statistic. Statistical treatment of gases -
Fermi-Dirac and Bose-Einstein distributions. Applications to gases, electrons,
photons and phonons. Quantum fluids at low temperature and in the stars.
Curriculum Design: Outline Syllabusback to top
Introduction. Review of the ideas, techniques and results of statistical physics. Revision to application to an assembly of localised particles. The Boltzmann distribution.
Gases. The density of states - fitting waves into boxes.
Statistics of gases. Fermions and bosons. The two distributions for gases.
Maxwell-Boltzmann gases. Velocity distribution.
Fermi-Dirac gases. Electrons in metals and semiconductors. Fermi energy. Liquid helium-3.
Bose-Einstein gases. Bose-Einstein Condensation. Superfluid helium-4.
Phoney Bose-Einstein gases. Photon gas and black-body radiation. Phonon gas and thermal properties of solids.
Astrophysical applications. White dwarf stars, neutron stars.
The module provides an uncomplicated and direct approach to the subject, using frequent illustrations from low temperature physics.
Educational Aims: Subject Specific: Knowledge, Understanding and Skillsback to top
To provide a unified survey of the statistical physics of gases, including a full treatment of quantum statistics.
To give fuller insight into the meaning of entropy.
To discuss applications of statistics to various types of gas.
Learning Outcomes: Subject Specific: Knowledge, Understanding and Skillsback to top
On completion of the module, students should be able to:
- describe the role of statistical concepts in understanding macroscopic systems;
- deduce the Boltzmann distribution for the probability of finding a system in a particular quantum state;
- deduce the Einstein and Debye expressions for the heat capacity of an insulating solid and compare the theory with accepted experimental results;
- deduce the equation of state and the heat capacity of an ideal gas.
- deduce the Fermi-Dirac and Bose-Einstein distributions;
- describe superfluidity in liquid helium, Bose-Einstein condensation and black body radiation.
- deduce the heat capacity of a electron gas.
Curriculum Design: Select Bibliographyback to top
(E) A M Gu´enault Statistical Physics (2nd ed), Chapman and Hall (1995)