PHSI421 Statistical Mechanics

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Advanced thermodynamics; equilibrium theory of many-particle systems; quantum ideal gas: Bose-Einstein condensation and free electrons; interacting systems and phase transitions.

Paper title Statistical Mechanics PHSI421 Physics 0.0833 10 points Semester 1 (On campus) \$673.90 \$2,981.97
Limited to
BSc(Hons), PGDipSci, MSc
Contact
philip.brydon@otago.ac.nz
Teaching staff
Dr Philip Brydon
Textbooks
An introduction to thermal physics, Daniel V. Schroeder, Addison Wesley Longman
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students are expected to have achieved the following major learning objectives:
• Define and use free energies, be able to derive their thermodynamic identities, and extract information from thermodynamic partial derivative relations
• Understand the thermodynamics of systems undergoing a phase transition, with a detailed knowledge of the phase diagram of the van der Waals model
• Be able to define and apply the microcanonical, canonical and grand canonical ensembles appropriately and understand the statistical basis for thermodynamic equilibrium
• Derive thermodynamic properties from a microscopic description of standard systems (e.g. ideal paramagnet, Einstein solid, ideal gas)
• Be able to apply the equipartition theorem and understand its regime of validity
• Be able to explain the effect indistinguishability has on the statistical properties of matter; derive and apply the quantum distribution functions
• Apply the appropriate quantum statistical method to calculate the thermal properties of the standard quantum systems: an ideal Fermi gas, photons in a cavity, and an ideal Bose gas; derive and apply the appropriate density of states for these systems
• Solve the Ising model using the mean-field approximation

Timetable

Semester 1

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None

Advanced thermodynamics; equilibrium theory of many-particle systems; quantum ideal gas: Bose-Einstein condensation and free electrons; interacting systems and phase transitions.

Paper title Statistical Mechanics PHSI421 Physics 0.0833 10 points Semester 1 (On campus) Tuition Fees for 2022 have not yet been set Tuition Fees for international students are elsewhere on this website.
Limited to
BSc(Hons), PGDipSci, MSc
Contact
philip.brydon@otago.ac.nz
Teaching staff
Dr Philip Brydon
Textbooks
An introduction to thermal physics, Daniel V. Schroeder, Addison Wesley Longman
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
Learning Outcomes
After completing this paper students are expected to have achieved the following major learning objectives:
• Define and use free energies, be able to derive their thermodynamic identities, and extract information from thermodynamic partial derivative relations
• Understand the thermodynamics of systems undergoing a phase transition, with a detailed knowledge of the phase diagram of the van der Waals model
• Be able to define and apply the microcanonical, canonical and grand canonical ensembles appropriately and understand the statistical basis for thermodynamic equilibrium
• Derive thermodynamic properties from a microscopic description of standard systems (e.g. ideal paramagnet, Einstein solid, ideal gas)
• Be able to apply the equipartition theorem and understand its regime of validity
• Be able to explain the effect indistinguishability has on the statistical properties of matter; derive and apply the quantum distribution functions
• Apply the appropriate quantum statistical method to calculate the thermal properties of the standard quantum systems: an ideal Fermi gas, photons in a cavity, and an ideal Bose gas; derive and apply the appropriate density of states for these systems
• Solve the Ising model using the mean-field approximation

Timetable

Semester 1

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None