Rodney J. Baxter
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Rodney James Baxter (born February 8, 1940 in London, United Kingdom) is an Australian physicist, specializing in statistical mechanics. He is well-known for his work in exactly solved models, in particular vertex models such as the six-vertex model and eight-vertex model, and the chiral Potts model. A recurring theme in the solution of such models, the Yang-Baxter equation, also known as the star triangle relation, is named in his honour.
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[edit] Biography
Baxter received his BA from Cambridge University, before relocating to the Australian National University in Canberra to complete his PhD. He was the first doctoral graduate in theoretical physics from the ANU, graduating in 1964 and then worked for the Iraq Petroleum Company in London in 1964 and 1965. He worked as an assistant professor at the Massachusetts Institute of Technology from 1968 until 1970, when he took up a position at the ANU, and served as the Head of the Department of Theoretical Physics in the Institute of Advanced Study, until he retired in 2002. He is currently the Emeritus Professor of Physics. In 1984, he was awarded a Doctor of Science by Cambridge. He is a Fellow of the Australian Academy of Science, Royal Society of London, and the Isaac Newton Institute, Cambridge, where he was Royal Society Research Professor in 1992. In 1980 he was awarded the Boltzmann Medal, the main recognition for research contribution concerning statistical mechanics. In 2006, he was awarded the Lars Onsager Prize “For his original and groundbreaking contributions to the field of exactly solved models in statistical mechanics, which continue to inspire profound developments in statistical physics and related fields.”
[edit] Research
Baxter gained recognition in 1971 when he used the star-triangle relation to calculate the free energy of the Eight vertex model, and went on to similarly solve the hard hexagon model (1980) and the chiral Potts model in 1988. He also developed the corner transfer matrix method for calculating the order parameters of the eight vertex and similar models. In 2005 he uses the method of Michio Jimbo, Tetsuji Miwa and Nakayashiki to verify Albertini, McCoy, Perk and Tang's conjecture for the order parameter of the chiral Potts model.
His use of the Yang-Baxter equation lead to the formulation and the study of representations of the quantum group by Vladimir Drinfeld in the 1980s, and quantum generalizations of affine algebras, and they are quasi-triangular Hopf algebras which yield solutions of the Yang-Baxter equation and provide insight into the properties of corresponding statistical models.
His book, Exactly solved models in statistical mechanics, has received over 2400 citations in subsequent work in statistical mechanics and the study of quantum groups, and is used widely in teaching at universities.
[edit] Awards and honours
- Pawsey Medal, Australian Academy of Science, 1975
- Boltzmann Medal, IUPAP, 1980
- Lyle Medal, Australian Academy of Science, 1983
- Dannie Heineman Prize, American Physical Society, 1987
- Massey Medal, Australian Institute of Physics, 1994
- Fellow of the Australian Academy of Science, 1977
- Fellow of the Royal Society of London, 1982
- Centenary Medal, Australian Government, 2003
- Lars Onsager Prize, American Physical Society, 2006
[edit] Publications
- R.J. Baxter, Exactly solved models in statistical mechanics, London, Academic Press, 1982
[edit] References
- V. Chari and A.N. Pressley, A Guide to Quantum Groups Cambridge University Press, 1994