Science, Technology and Engineering

Department of Mathematical and Statistical Sciences

Mathematics Staff Members

Research Interests

The main area of research is the statistical mechanics of systems with charge and dipole interactions, and particularly the development of fast computing algorithms for computer simulations of these systems. The applications are to predict the properties of materials. Presently research is concentrating on the properties of piezo electrics and ferro-electric materials.

Some Publications

1. E. R. Smith, "One Dimensional X-Y model with Random Coupling Constants", J. Phys. C: Solid St. Phys., 3, 1419-1432 (1970).
2. O. Penrose and E. R. Smith, "Thermodynamic Limit for Classical Systems with Coulomb Interactions in a Constant External Field", Commun. Math. Phys, 26, 53-77 (1972).
3. E. R. Smith and O. Penrose, "An Upper Bound on the Free Energy for Classical Systems with Coulomb Interactions in a Varying External Field", Commun. Math. Phys.,40, 197-213 (1975).
4. E. R. Smith and J. W. Perram, "Thermodynamic Limit for a System with Dipole-Dipole Interactions", J. Aust. Math. Soc., 19B, 116-128 (1975).
5. J. W. Perram and E. R. Smith, "Competitive adsorption via the Percus-Yevick Approximation", Proc. R. Soc. Lond. A, 353, 193-220 (1977).
6. E. R. Smith and J. S. Rowlinson, "Phase Separation in a Polydisperse System", J.C.S. Faraday II, 76, 1468-1477 (1980).
7. S. W. De Leeuw, J. W. Perram and E. R. Smith, "Simulation of Electrostatic Systems in Periodic Boundary Conditions. I. Lattice Sums and Dielectric Constants", Proc. R. Soc. Lond. A, 373, 27-56 (1980).
8. S. W. De Leeuw, J. W. Perram and E. R. Smith, "Simulation of Electrostatic Systems in Periodic Boundary Conditions. II. Equivalence of Boundary Conditions", Proc. R. Soc. Lond. A, 373, 57-67(1980).
9. E. R. Smith, "Electrostatic Energy in Ionic Crystals", Proc. R. Soc. Lond. A, 375, 475-505 (1981).
10. E. R. Smith, "Effects of Surface Charge on the Electrostatic Energy of an Ionic Crystal", Proc. R. Soc. Lond. A, 381, 241-247 (1982).
11. E. R. Smith, "Simulation of Two Dimensional Systems with Two Dimensional Electrostatics. I. Periodic Boundary Conditions" Mol. Phys., 45, 915-936 (1982).
12. E. R. Smith, "Effects of Surface Charge on the Two Dimensional One Component Plasma: I. Single Double Layer Structure", J. Phys. A: Math. Gen., 15, 1271-1281 (1982).
13. Ph. Choquard, P. J. Forrester and E. R. Smith, "The Two Dimensional One Component Plasma at Gamma = 2: The Semiperiodic Strip", J. Stat. Phys., 33, 13-22 (1983).
14. S. W. De Leeuw, J. W. Perram and E. R. Smith, "Simulation of Electrostatic Systems in Periodic Boundary Conditions. III. Further Theory and Applications", Proc. R. Soc. Lond. A, 388, 177-193 (1983).
15. D. B. Abraham, and E. R. Smith, "An Exactly Solved Model with a Wetting Transition", J. Stat. Phys., 43, 621-643 (1986).
16. E. R. Smith, "Electrostatic Potentials for Simulation of Surface States of Ionic Crystals", Mol. Phys., 57, 793-806 (1986).
17. E. R. Smith, I. K. Snook and W. van Megen, "Hydrodynamic Interactions in Brownian Dynamics I Periodic Boundary Conditions for Computer Simulations", Physica, 143A, 441-467 (1987).
18. E. R. Smith, "A Mean Spherical Model with Coulomb Interactions", J. Stat. Phys., 50, 813-838 (1988).
19. K.Briggs, E.R.Smith, I.K.Snook and W. van Megen, "Positive Definiteness of the Mobility Matrix for Computer Simulations of Hard Spheres with Stick Hydrodynamic Boundary Conditions", Physics Letters A, 154, 149-153 (1991)
20. E.R.Smith "Calculating the Pressure in Simulations using Periodic Boundary Conditions", J.Stat. Phys. 77,449-472 (1994)
21. H.G.Petersen, D.Soelvason ,J.W.Perram and E.R.Smith, "Error estimates for the Fast Multipole Method. I The Two dimensional case" Proc. Roy. Soc. Lond. 448A, 389-400 (1995)
22. H.G.Petersen, D.Soelvason and E.R.Smith, "Error estimates for the Fast Multipole Method. II The Three dimensional case" Proc. Roy. Soc. Lond. 448A, 401-418(1995)
23. E.R.Smith "Fast Moment Methods for general Potentials in Molecular Dynamics" Mol. Phys. 86, 769-796 (1995).