ARC Complex Open Systems Research Network

Prof Murray Batchelor

 

Australian Professorial Research Fellow Address: Professor M T Batchelor Department of Theoretical Physics Research School of Phys. Sci. & Eng. and Centre for Mathematics and its Applications Mathematical Sciences Institute Australian National University Canberra ACT 0200, Australia Phone: +61 2 6125 2044 Fax: +61 2 6125 5549 Email: Murray.Batchelor@anu.edu.au Webpage: http://www.maths.anu.edu.au/~murrayb Research Node: Central/CCS

 

Role in Network

COSNet Management Committee Member - Coordinator
ANU CCS
Academic - Researcher

COSNet Research Themes

1. Irreversibility and Emergence in Nonequilibrium Systems
2. Turbulence and Coherent Structures, Control and Computation
3. Dynamics and Statistics of Multi-Scale Systems
4. Network Theory
5. Cellular Automata, Agent-Based Modelling and Simulation

COSNet Application Areas

1. Complex Physical Systems
2. Complex Biological Systems
3. Complex Computational Systems
4. Complex Socio-Economic Systems

 

Research Topics

Professor Batchelor's research interests are widespread. He is recognised as an international leader in the area of phase transitions and critical phenomena. His work on integrable models continues to provide valuable exact results and physical insight into quantum many body problems in condensed matter physics. His work involves the invention and use of powerful and sophisticated mathematical techniques. He has collaborated with Bruce Henry on non-equilibrium growth models. Most recently they have applied these models with R Burne to microbialites to simulate coniform stromatolites, which are crucial to the evidence for the oldest life on Earth.  

Publications

1. F.C. Alcaraz, M.N. Barber and M.T. Batchelor, "Conformal invariance and the spectrum of the XXZ chain", Phys. Rev. Lett. 58 (1987) 771-774
2. F.C. Alcaraz, M.N. Barber and M.T. Batchelor, R.J. Baxter and G.R.W. Quispel, Surface exponents of the XXZ, Ashkin-Teller and Potts models", J. Phys. A: Math. Gen. 20 1987) 6397-6409
3. F.C. Alcaraz, M.N. Barber and M.T. Batchelor, "Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems", Ann. Phys. N.Y. 182 (1988) 280-343
4. A. Klumper, M.T. Batchelor and P.A. Pearce, "Central charges of the 6- and 19-vertex models with twisted boundary conditions", J. Phys. A: Math. Gen. 24 (1991) 3111-3133
5. M.T. Batchelor and C.M. Yung, "Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions", Phys. Rev. Lett. 74 (1995) 2026-2029
6. M.T. Batchelor, J. Suzuki and C.M. Yung, "Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice", Phys. Rev. Lett. 73 (1994) 2646-2649
7. M.T. Batchelor and M. Maslen, "Exactly solvable quantum spin tubes and ladders", J. Phys. A: Math. Gen. 32 (1999) L377-L380
8. M.T. Batchelor, J. de Gier and B. Nienhuis, "The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions", J. Phys. A: Math. Gen. 34 (2001) L265-L270
9. M.T. Batchelor, X.-W. Guan, N. Oelkers, K. Sakai, Z. Tsuboi and A. Foerster,
"Exact results for the thermal and magnetic properties of strong coupling ladder compounds", Phys. Rev. Lett. 91 (2003) 217202
10. M.T. Batchelor, R.V. Burne, B.I. Henry and M.J. Jackson, "A case for biotic morphogenesis of coniform stromatolites", preprint arXiv.org:nlin.PS/0401026, Physica A (in press)  

Grants

Year Short Title Funding
2003-2007 Discovery Grant (Australian Research Council) $1.2M  

Membership/Fellowship of Key Organisations

Fellow, Australian Institute of Physics
Fellow, Australian Mathematical Society

 

Awards and Distinctions

1989 QEII Research Fellow
1992 ARC Senior Research Fellow
1997 ARC Senior Research Fellow
1997 Pawsey Medal, Australian Academy of Science
1998 Medal, Australian Mathematical Society
2003 Australian Professorial Research Fellow