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Rodney J. Baxter
Rodney James Baxter FRS FAA (born 8 February 1940 in London, United Kingdom) is an Australian physicist, specialising 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 and hard hexagon 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. Biography Baxter was educated at Bancroft's School and Trinity College, Cambridge (BA, MA), before relocating to the Australian National University in Canberra to complete his PhD. He was among the first doctoral graduates in theoretical physics from the ANU, graduating in 1964. Then, in 1964 and 1965, he worked for the Iraq Petroleum Company. 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 a term a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London
London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Western Europe, with a population of 14.9 million. London stands on the River Thames in southeast England, at the head of a tidal estuary down to the North Sea, and has been a major settlement for nearly 2,000 years. Its ancient core and financial centre, the City of London, was founded by the Roman Empire, Romans as Londinium and has retained its medieval boundaries. The City of Westminster, to the west of the City of London, has been the centuries-long host of Government of the United Kingdom, the national government and Parliament of the United Kingdom, parliament. London grew rapidly 19th-century London, in the 19th century, becoming the world's List of largest cities throughout history, largest city at the time. Since the 19th cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vertex Model
A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom or particle). This contrasts with a nearest-neighbour model, such as the Ising model, in which the energy, and thus the Boltzmann weight of a statistical microstate is attributed to the bonds connecting two neighbouring particles. The energy associated with a vertex in the lattice of particles is thus dependent on the state of the bonds which connect it to adjacent vertices. It turns out that every solution of the Yang–Baxter equation with spectral parameters in a tensor product of vector spaces V\otimes V yields an exactly-solvable vertex model. Although the model can be applied to various geometries in any number of dimensions, with any number of possible states for a given bond, the most fundamental examples occur for two dimensional lattices, the simplest being a square lattice where each bond has two possible states. In thi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lars Onsager Prize
The Lars Onsager Prize is a prize in theoretical statistical physics awarded annually by the American Physical Society. Prize recipients receive a medal, certificate, and $10,000. It was established in 1993 by Drs. Russell and Marian Donnelly in memory of Lars Onsager. Recipients See also * List of physics awards A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, but ... Notes Awards of the American Physical Society Awards established in 1993 {{sci-award-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boltzmann Medal
The Boltzmann Medal (or Boltzmann Award) is a prize awarded to physicists that obtain new results concerning statistical mechanics; it is named after the celebrated physicist Ludwig Boltzmann. The Boltzmann Medal is awarded once every three years by the Commission on Statistical Physics of the International Union of Pure and Applied Physics, during the STATPHYS conference. The award consists of a gilded medal; its front carries the inscription ''Ludwig Boltzmann, 1844–1906''. Recipients All the winners are influential physicists or mathematicians whose contribution to statistical physics have been relevant in the past decades. Institution with multiple recipients are Sapienza University of Rome (3) and École Normale Supérieure, Cornell University, University of Cambridge and Princeton University (2). The Medal cannot be awarded to a scientist who already has been a laureate of a Nobel Prize. Three recipients of the Boltzmann Medal have gone on to win the Nobel Prize in Physi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Of London
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by King Charles II and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the society's president, according to a set of statutes and standing orders. The members of Council and the president are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow of the Royal Society) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Australian Academy Of Science
The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Society and operates under a Royal charter; as such, it is an independent body, but it has government endorsement. The Academy Secretariat is in Canberra, at the #The Shine Dome, Shine Dome. The objectives of the academy are to promote science and science education through a wide range of activities. It has defined four major program areas: :* Recognition of outstanding contributions to science :* Education and public awareness :* Science policy :* International relations The academy also runs the 22 Australian Academy of Science National Committees, National Committees for Science which provide a forum to discuss issues relevant to all the scientific disciplines in Australia. Origins The Australian National Research Council (ANRC) was estab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Science
A Doctor of Science (; most commonly abbreviated DSc or ScD) is a science doctorate awarded in a number of countries throughout the world. Africa Algeria and Morocco In Algeria, Morocco, Libya and Tunisia, all universities accredited by the state award a "Doctorate" in all fields of science and humanities, equivalent to a PhD in the United Kingdom or United States. Some universities in these four North African countries award a "Doctorate of the State" in some fields of study and science. A "Doctorate of the State" is slightly higher in esteem than a regular doctorate, and is awarded after performing additional in-depth post-doctorate research or achievement. Asia Japan Similarly to in the US and most of Europe, Japanese universities offer both the PhD and the ScD as initial doctorates in science. India In India only a few prestigious universities offer ScD/DSc in science which is obtained in Graduate School after satisfactory evaluation of knowledge, research accomp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emeritus
''Emeritus/Emerita'' () is an honorary title granted to someone who retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished performance (usually in the area of research) awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title. The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In descriptions of deceased professors emeriti listed at U.S. universities, the title ''emeritus'' is replaced by an indication of the years of their appointments, except in obituaries, where it may be us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canberra
Canberra ( ; ) is the capital city of Australia. Founded following the Federation of Australia, federation of the colonies of Australia as the seat of government for the new nation, it is Australia's list of cities in Australia, largest inland city, and the list of cities in Australia by population, eighth-largest Australian city by population. The city is located at the northern end of the Australian Capital Territory at the northern tip of the Australian Alps, the country's highest mountain range. Canberra's estimated population was 473,855. The area chosen for the capital had been inhabited by Aboriginal Australians for up to 21,000 years, by groups including the Ngunnawal and Ngambri. history of Australia (1788–1850), European settlement commenced in the first half of the 19th century, as evidenced by surviving landmarks such as St John the Baptist Church, Reid, St John's Anglican Church and Blundells Cottage. On 1 January 1901, federation of the colonies of Australi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yang–Baxter Equation
In physics, the Yang–Baxter equation (or star–triangle relation) is a consistency equation which was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations, particles may preserve their momentum while changing their quantum internal states. It states that a matrix R, acting on two out of three objects, satisfies :(\check\otimes \mathbf)(\mathbf\otimes \check)(\check\otimes \mathbf) =(\mathbf\otimes \check)(\check \otimes \mathbf)(\mathbf\otimes \check), where \check is R followed by a swap of the two objects. In one-dimensional quantum systems, R is the scattering matrix and if it satisfies the Yang–Baxter equation then the system is Integrable system#Quantum integrable systems, integrable. The Yang–Baxter equation also shows up when discussing knot theory and the braid groups where R corresponds to swapping two strands. Since one can swap three strands in two different ways, the Yang–Baxter equation enforces t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hard Hexagon Model
In statistical mechanics, the hard hexagon model is a 2-dimensional lattice model of a gas, where particles are allowed to be on the vertices of a triangular lattice but no two particles may be adjacent. The model was solved by , who found that it was related to the Rogers–Ramanujan identities. The partition function of the hard hexagon model The hard hexagon model occurs within the framework of the grand canonical ensemble, where the total number of particles (the "hexagons") is allowed to vary naturally, and is fixed by a chemical potential. In the hard hexagon model, all valid states have zero energy, and so the only important thermodynamic control variable is the ratio of chemical potential to temperature ''μ''/(''kT''). The exponential of this ratio, ''z'' = exp(''μ''/(''kT'')) is called the activity and larger values correspond roughly to denser configurations. For a triangular lattice with ''N'' sites, the grand partition function is :\displaystyle \mathcal Z(z) = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
