Study level

  • PhD
  • Master of Philosophy
  • Honours
  • Vacation research experience scheme


Topic status

We're looking for students to study this topic.

Research centre


Professor Tony Roberts
Head of School
Division / Faculty
Faculty of Science


Diffusion in homogenous environments is relatively well understood, but the problem becomes more complicated in complex environments - such as wood tissue, cells, filters and catalysts. At QUT there is extensive expertise in using advanced numerical methods to model diffusions and first passage times in complex environments.

The ability to combine this expertise with realistic models of random media based on level-sets of Gaussian random field.

Research activities

You will be studying partial differential equations (derivation and simple models), using or developing codes to visualise and model Gaussian random fields and numerical methods for solving first passage times and effective diffusivities in these environments.


Working computer programs for simulating level sets of Gaussian random fields, and accuratly finding their effective properties.

Skills and experience

Knowledge of partial differentential equations and computational methods.


You may be eligible to apply for a research scholarship.

Explore our research scholarships



Tony Roberts, School of Mathematical Sciences.