Prof. Billy Todd   Professor of Mathematics

Qualifications

• BSc (Hons) (University of Western Australia/Murdoch) (Physics)
• PhD (Murdoch) (Physics)
• FAIP

Previous Appointments

• Centre for Molecular Simulation, Faculty of ICT, Swinburne University of Technology, 1999–2010
• Senior Research Scientist, CRC for Polymers, CSIRO Molecular Science, Clayton, Victoria, 1996–99
• Postdoctoral Research Fellow, Research School of Chemistry, Australian National University, Canberra, 1993–96
• Associate Lecturer, Atmospheric Science, Murdoch University, Perth,1992
• Postdoctoral Research Assistant, Department of Chemistry, University of Cambridge, Cambridge (UK), 1989–91

Areas of Expertise and Research

• Statistical mechanics of nonequilibrium systems
• Molecular dynamics
• Molecular rheology
• Theoretical and computational nanofluidics
• Computational science

Teaching Areas

• Mathematics

Research Groups

• Centre for Molecular Simulation

Academic Discipline

• Mathematics

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  Professor Billy Todd – One page Curriculum Vitae

Supervision of higher degree by research (HDR) (Current students)

Name	Degree	Research Centre	Start year	Role	Institution
Sridhar Kannam	Theory and simulation of nanofluid slip in carbon nanotubes and graphene layers
	PhD	Maths	2009	Primary Supervisor	Swinburne
Elnaz Hajizadeh Darzehkonani	Rheology of hyperbranched polymers and dendrimers undergoing extensional flows by nonequilibrium molecular dynamics simulation
	PhD	Maths	2010	Primary Supervisor	Swinburne
Sergio De Luca	Nonequilibrium molecular dynamics of spin-translational-mometum coupling for highly confined molecular fluids
	PhD	Maths	2010	Primary Supervisor	Swinburne
Afsana Ahmed	Gas mixture separation via nonequilibrium molecular dynamics
	PhD	Maths	2011	Primary Supervisor	Swinburne

Topics for Prospective Ph.D Students - View ALL topics for Prof. Billy Todd

Nonlinear Response Theory for Mixed Flows
This project will involve developing nonlinear response theory such that molecular fluids involving shear and extensional flow can be modelled under realistic industrial flow conditions.

Molecular Dynamics Studies of Nanofluidic Flows
The recent development of a non-local viscosity kernel for use in nanofluidic systems (Hansen et al [1]) will be used to predict the stress and velocity profiles of realistic molecules confined to nanometre length channels.

Nonequilibrium Molecular Dynamics Studies of Polydisperse Hyperbranched Polymers
This project will address the problem of structural and rheological properties of hyperbranched polymer melts under shear in a polydisperse environment by the use of non-equilibrium molecular dynamics simulations.

Nonlocal Thermal Transport for Highly Confined Fluids
In this project we will extend recent work on computing nonlocal viscosity kernels done at Swinburne to compute the nonlocal thermal conductivity kernel. This will be done by a combination of equilibrium and nonequilibrium statistical mechanical technique

Current External PhD Students

Mr Ben Dalton	Effects of density inhomogeneities and nonlocality on nanofluidic flows [RMIT University, external co-supervisor]
Mr Nick Miller	Nanofluidic flow of colloidal fluids [RMIT University, external co-supervisor]
Mr Remco Hartkamp	Anisotropy of fluid flow in nano-channels [University of Twente, The Netherlands, external co-supervisor]

Publications

A selection of some publications follows. A full listing is available upon request or from Swinburne Research Bank.

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  Professor Billy Todd – Full publication listing

Book Chapters

1. The Liquid State, in Chemical Modelling Applications and Theory; Volume 4, 324–404, by invitation. B.D. Todd and D.J. Searles. Edited by Alan Hinchliffe (Royal Society of Chemistry, Cambridge UK, 2006).

Refereed Journal Papers

1. Hunt, T.A., Bernardi, S. and Todd, B.D., "A new algorithm for extended nonequilibrium molecular dynamics simulations of mixed flow", The Journal of Chemical Physics 133, 154116 (2010).
2. Hansen, J.S., Todd, B.D. and Daivis, P.J., "Viscous properties of isotropic fluids composed of linear molecules: Departure from the classical Navier–Stokes theory in nano confined geometries", Physical Review E 80, 046322 (2009). [Selected for the November 9, 2009 issue of the Virtual Journal of Nanoscale Science & Technology.]
3. Le, T.C., Todd, B.D., Daivis, P.J. and Uhlherr, A., "The effect of inter–branch spacing on structural and rheological properties of hyperbranched polymer melts", The Journal of Chemical Physics 131, 164901 (2009) [Featured as the journal cover for The Journal of Chemical Physics Volume 131 Issue 16 on 28 October 2009, http://scitation.aip.org/dbt/dbt.jsp?KEY=JCPSA6&Volume=LASTVOL&Issue=LASTISS ; Also selected for the November 1, 2009 issue of the Virtual Journal of Biological Physics Research]
4. Todd, B.D., Hansen, J.S. and Daivis, P.J., "Non–local shear stress for homogeneous fluids", Physical Review Letters 100, 195901 (2008).
5. Todd, B.D. and Daivis, P.J., "Homogeneous nonequilibrium molecular dynamics simulations of viscous flow: techniques and applications", Molecular Simulation 33, 189–229 (2007). [Invited review paper]
6. Daivis, P.J., Matin, M.L. and Todd, B.D., "Nonlinear shear and elongational rheology of model polymer melts by non–equilibrium molecular dynamics", Journal of Non–Newtonian Fluid Mechanics 111, 1–18 (2003).
7. Todd, B.D. and Daivis, P.J., "Nonequilibrium molecular dynamics simulations of planar elongational flow with spatially and temporally periodic boundary conditions", Physical Review Letters 81, 1118–1121 (1998).
8. Travis, K.P., Todd, B.D., and Evans, D.J., "Departure from Navier–Stokes hydrodynamics in confined liquids", Physical Review E 55, 4288–4295 (1997).
9. Todd, B.D., Evans, D.J. and Daivis, P.J., "Pressure Tensor for Inhomogeneous Fluids", Physical Review E 52, 1627–1638 (1995).

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