This page is for the academic year 2021-22. The current handbook year is 2022-23
Department: Mathematical Sciences
Statistical Mechanics IV
||Available in 2021/22
- Analysis in Many Variables (MATH2031) AND [Mathematical Physics (MATH2071) OR Theoretical Physics 2 (PHYS2631)] AND additional Mathematical Sciences modules to the value of 60 credits in Levels 2 and 3, with at least 40 credits at Level 3.
Excluded Combination of Modules
- To develop a basic understanding of the dynamics and behaviour of
systems with a large number of constituents.
- To develop approximation techniques and calculational methods to
understand collective dynamics of large particle ensembles.
- Thermal equilibrium, laws of thermodynamics, equations of
state, ideal gas law.
- Probability distributions and random walks.
- Classical statistical mechanics.
- Distributions and identical particles.
- Black-body radiation, magnetisation, neutron stars.
- Phase transitions.
- Reading material on one or more aspects of the
- The students will: learn to deal with systems where
statistical ideas give a good picture of the essential
- have learnt to develop approximation methods necessary to
solve problems involving large systems.
- have mastered knowledge of the subject through one or more of
the following subject areas: thermodynamics, probability
distributions, statistical ensembles, phase transitions.
- have a knowledge and understanding of a topic in the renormalization group approach.
- The students will have specialised knowledge and mathematical
skills in tackling problems in: statistical modeling of large systems.
- Ability to read independently to acquire knowledge and understanding of aspects of the Renormalization Group approach.
- The students will have an appreciation of Statistical
Mechanics and its utility in the real world in the study of various
complex systems and solutions thereof.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the application of the theory to practical examples.
- Subject material assigned for independent study develops the
ability to acquire knowledge and understanding without dependence on
- Assignments for self-study develop problem-solving skills and
enable students to test and develop their knowledge and understanding.
- Formatively assessed assignments provide practice in the
application of logic and high level of rigour as well as feedback for the students and the lecturer on students' progress.
- The end-of-year examination assesses the knowledge acquired
and the ability to solve predictable and unpredictable
Teaching Methods and Learning Hours
||2 per week in Michealmas and Epiphany; 2 in Easter
||Fortnightly in Michaelmas and Epiphany
|Preparation and Reading
||Component Weighting: 100%
||Length / duration
Eight written or electronic assignments to be assessed and returned. Other assignments are set for self-study and complete solutions are made available to students.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University