Unit information: Statistical Mechanics in 2009/10

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

Unit name Statistical Mechanics
Unit code MATH34300
Credit points 20
Level of study H/6
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Professor. Liverpool
Open unit status Not open
Pre-requisites

Mechanics 1; cannot be taken with physics units Thermal Physics 203 or Statistical Physics 303 due to overlap

Co-requisites

None

School/department School of Mathematics
Faculty Faculty of Science

Description including Unit Aims

The unit begins with a discussion of thermodynamics, the macroscopic (large scale) laws of heat. In contrast to mecanical systems, thermodynamics is fundamentally irreversible, so for example processes like thermal quilibration, combustion, and mixing can occur spontaneously, but the reverse processes never occur without external input. This leads to fixed constraints on the capabilities of (for example) engines, fridges and living organisms. The remainder of the unit ("statistical mechanics") deals with the microscopic basis of thermodynamis, that is, explaining large scale properties from properties of individual molecules. Although the dynamical equations can be solved exactly in only a very few cases, the very large number of particles means that statisitcal assumptions are often justified, making a strongly predictive and irreversible theory from recerisbly mecanics. Both equilibrium and non-equilibrium situations will be covered, ending with a brief discussion of numerical simulation methods.