Coronavirus (COVID-19) Update
Due to the Coronavirus (COVID-19) pandemic, any references to assessment tasks and on-campus delivery may no longer be up-to-date on this page.
Students should consult iLearn for revised unit information.
Find out more about the Coronavirus (COVID-19) and potential impacts on staff and students
Unit convenor and teaching staff |
Unit convenor and teaching staff
Lecturer
Judith Dawes
Contact via email
7 WW 2.708
12-1 Wednesdays; 1-2 Thursdays
Lecturer and Unit convener
Daniel Terno
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Credit points |
Credit points
10
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Prerequisites |
Prerequisites
Admission to MRes
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Corequisites |
Corequisites
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Co-badged status |
Co-badged status
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Unit description |
Unit description
This unit presents an introduction to thermodynamics and statistical physics. The first half of the course begins with a definition of state functions and macroscopic variables such as temperature, pressure, and volume which characterise the state of a system, introducing the equation of state. Entropy is introduced via an information theoretic argument and applied to counting microstates of a system. We define the zeroth through the third laws of Thermodynamics and introduce the T dS relations. The role of potentials in simplifying thermodynamic predictions is explored. The concepts of reversible and irreversible engines and refrigeration cycles are covered in detail. We cover the ideal gas law and first order corrections for the Van der Waals gas.
In the second half we introduce thermodynamical equilibrium as a postulate of statistical mechanics. We derive the partition function via the principle of maximum entropy. The Gibbs paradox is described as are macro, micro and grand canonical ensembles with examples using the ideal gas and Van der Waals gas. A short introduction is given to quantum statistical mechanics and Fermi-Dirac and Bose-Einstein distributions are derived. A range of interacting statistical systems such as ferrormagnetism are explored and we introduce the study of order parameters and phase transitions.
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Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
On successful completion of this unit, you will be able to:
Coronavirus (COVID-19) Update
Assessment details are no longer provided here as a result of changes due to the Coronavirus (COVID-19) pandemic.
Students should consult iLearn for revised unit information.
Find out more about the Coronavirus (COVID-19) and potential impacts on staff and students
If you receive special consideration for the final exam, a supplementary exam will be scheduled after the end of the normal exam period. By making a special consideration application for the final exam you are declaring yourself available for a resit during the supplementary examination period and will not be eligible for a second special consideration approval based on pre-existing commitments. Please ensure you are familiar with the policy prior to submitting an application. Approved applicants will receive an individual notification one week prior to the exam with the exact date and time of their supplementary examination.
Coronavirus (COVID-19) Update
Any references to on-campus delivery below may no longer be relevant due to COVID-19.
Please check here for updated delivery information: https://ask.mq.edu.au/account/pub/display/unit_status
Classes Mixed Lecture and Tutorial/discussion The timetable for classes can be found on the University web site at: http://www.timetables.mq.edu.au/
Required and Recommended Texts and/or Materials Recommended Text Concepts in Thermal Physics by Blundell & Blundell. This is the same text as used in PHYS2020. It will be used as a frequent reference for most of the unit but will not be followed through in a chapter-by-chapter approach. Statistical Mechanics by K Huang, Wiley. This graduate-level text will be used for basic concepts in quantum statistical mechanics, but contains useful material in all topics of the unit.
Additional References Fundamentals of Statistical and Thermal Physics by F Reif, McGraw-Hill is a mainstream undergrad textbook Fundamentals of Statistical and Thermal Physics, vol 1 by Landau and Lifshitz, any edition, is an advanced undergraduate/ graduate textbook
You can find additional resources, lectures and advice on the page of the Nobel Laureate Gerard t'Hooft
Coronavirus (COVID-19) Update
The unit schedule/topics and any references to on-campus delivery below may no longer be relevant due to COVID-19. Please consult iLearn for latest details, and check here for updated delivery information: https://ask.mq.edu.au/account/pub/display/unit_status
Course structure The topics of the course are roughly as follows week by week: 1. Brief introduction to large numbers, and principles of kinetic theory of gases. The Maxwell Boltzmann distribution. 2. Molecular velocity distribution and collisions. The Boltzmann Equation. Boltzmann's H theorem. 3. Molecular effusion and transport properties - viscosity, conductivity and diffusion. 4. Basic thermodynamic concepts: open/closed/isolated systems, microstates and macrostates, thermodynamic equilibrium and statistical entropy. Counting microstates and statistical temperature, microcanonical ensemble, explanation of equilibrium state. 5. Macroscopic thermodynamics: ideal gas, processes, state variables, internal energy and first law. Heat capacity. Law of Dulong and Petit. Irreversibility, extracting work, and the second law. 6. Entropy. Fundamental relation and Maxwell relations. Thermodynamic potentials. Chemical potential. Cooling real gases, Joule expansion, Joule-Kelvin expansion. Phase diagrams. Van der Waals gas, isotherms of the vdW gas, vdW gas-liquid transitions, Maxwell construction. 7. Introduction to Statistical Mechanics. Microcanonical, Canonical and Grand Canonical Ensembles, Partition functions. 8. Approximate methods of Statistical Mechanics. 9. Quantum gases. Identical particles, permutation symmetry, spin-statistics theorem, statistics of indistinguishable particles, Fermi vs Bose statistics, ideal Bose gas at high T, BEC, heat capacity of the Bose gas 10. Fermi gases; degenerate Fermi gases. Heat capacity of metals, Fermi pressure, Pauli paramagnetism. 11. Cold atomic and molecular gases. Methods of cooling. Selected applications. 12. Ising model, 2x2 toy model, exchange interactions, Ising Hamiltonian, Mean-field approximation, isotherms of the Ising model, compare vdW gas to Ising system. 13. Phase transitions and critical phenomena. Revision.
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