A Game of Order Parameters
Student: Katarina Blow
Supervisors: Dr David QuigleyLink opens in a new window (Physics) and Dr Gabriele C. SossoLink opens in a new window (Chemistry)
Predicting if, how and when ice crystals will form [1]Link opens in a new window in clouds (and our own cells!) is important to atmospheric science (and cryopreservation! [2]Link opens in a new window) and the manufacture of pharmaceuticals [3]Link opens in a new window. Preventing crystals from nucleating is desirable instead in our brains (where aggregates of proteins can lead to neurological diseases [4]Link opens in a new window) and for the oil industry (where water-based crystals can block pipelines [5]Link opens in a new window). Computer modelling can, in principle, design strategies for optimal control over these processes: in fact, advanced atomistic simulation techniques are now able to calculate key properties such as crystal nucleation rates. Unfortunately, the comparison of these rates against experimental data is subject to uncertainties [6]Link opens in a new window which have not been rigorously quantified yet. Specifically, the choice of the particular mathematical object we use to identify atoms as part of a crystalline nucleus (the so-called “order parameter”) [7]Link opens in a new window has a major impact. We will use formal uncertainty quantification (which form part of the core HETSYS training) to rectify this, initially using simple models [8]Link opens in a new window – for which accurate results are available, and then moving onto scenarios of great practical importance - such as the formation of ice [9]Link opens in a new window.
References
[2] J.O.M. Karlsson, Science 296 (2002) 655–656.Link opens in a new window
[5] D.E. Sloan, Nature 426 (2003) 426 353−363.Link opens in a new window