Michael Barber
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Australian mathematician, physicist and academic
Michael Barber 's AcademicInfluence.com Rankings
Michael Barber mathematics Degrees
Mathematics
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#10467
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Measure Theory
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#3650
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Physics Mathematics
Michael Barber 's Degrees
- PhD Physics University of Melbourne
Why Is Michael Barber Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Newton Barber is a mathematician, physicist and academic. He was Vice Chancellor of Flinders University in South Australia from 2008 until 2014. Career Barber studied at the University of New South Wales, where he received the University Medal in applied mathematics and graduated with first class honours. He received a PhD from Cornell University in the USA in theoretical physics in 1972. He is best known for the scaling theory of finite size effects at phase transitions, which he introduced together with Michael Fisher.
Michael Barber 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Scaling Theory for Finite-Size Effects in the Critical Region (1972) (898)
- Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models (1987) (392)
- Helicity Modulus, Superfluidity, and Scaling in Isotropic Systems (1973) (275)
- Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems (1988) (198)
- Random and restricted walks : theory and applications (1970) (162)
- Critical phenomena in systems of finite thickness I. The spherical model (1973) (115)
- A quantum Hamiltonian approach to the two-dimensional axial next-nearest-neighbour Ising model (1981) (109)
- Finite-lattice extrapolations for Z3 and Zs models (1981) (88)
- Yang-Baxter equations, conformal invariance and integrability in statistical mechanics and field theory : proceedings of a conference : Centre for Mathematical Analysis, Australian National University, Canberra, Australia, July 10-14, 1989 (1990) (84)
- Some tests of scaling theory for a self-avoiding walk attached to a surface (1978) (79)
- Scaling Relations for Critical Exponents of Surface Properties of Magnets (1973) (61)
- Finite-lattice methods in quantum Hamiltonian field theory. I. The Ising model (1981) (54)
- Magnetization at corners in two-dimensional Ising models (1984) (53)
- On the spontaneous order of the eight-vertex model (1973) (49)
- Finite-lattice methods in quantum Hamiltonian field theory. I. O(2) and O(3) Heisenberg models (1981) (49)
- PHASE TRANSITIONS IN TWO-DIMENSIONS (1980) (43)
- Non-universality in the Ising model with nearest and next-nearest neighbour interactions (1979) (37)
- Transverse susceptibility of the one-dimensional antiferromagnetic XY model. Application to Cs 2 CoCl 4 (1981) (36)
- Extrapolation of sequences using a generalized epsilon-algorithm (1982) (35)
- Spin-s quantum chains and Temperley-Lieb algebras (1990) (34)
- Finite-size scaling in Hamiltonian field theory (1980) (33)
- Dynamical phase transitions in the two-dimensional ANNNI model (1988) (33)
- A new renormalization group transformation for ising spin systems (1975) (32)
- An introduction to the fundamentals of the renormalization group in critical phenomena (1977) (31)
- Critical behavior of a spherical model with a free surface (1974) (25)
- Phenomenological renormalisation of Monte Carlo data (1982) (25)
- On the critical behaviour of an Ising system with lattice coupling (1975) (24)
- Critical Phenomena in Systems of Finite Thickness. III. Specific Heat of an Ideal Boson Film (1973) (24)
- A finite lattice study of the critical behaviour of the two-dimensional biaxial next-nearest-neighbour Ising model (1987) (17)
- Asymptotic results for self-avoiding walks on a Manhattan lattice (1970) (15)
- Perturbation expansions of the axial next-nearest-neighbour Ising and asymmetric four-state clock models (1982) (14)
- Conformal invariance and the critical behaviour of a quantum spin Hamiltonian with three-spin coupling (1987) (14)
- Critical Phenomena in Systems of Finite Thickness. II. Ideal Bose Gas (1973) (14)
- Logarithmic corrections to finite-size scaling in the four-state Potts model (1988) (13)
- Critical behaviour of the spherical model with enhanced surface exchange (1974) (13)
- Critical behaviour of the spherical model with enhanced surface exchange: two spherical fields (1975) (13)
- Hamiltonian studies of the two-dimensional axial next-nearest neighbour Ising (ANNNI) model. II. Finite-lattice mass gap calculations (1982) (12)
- Bethe ansatz calculations for the eight-vertex model on a finite strip (1987) (12)
- Hamiltonian studies of the two-dimensional axial next-nearest-neighbor ising (ANNNI) model (1982) (11)
- Phase Transitions and Critical Phenomena (1969) (10)
- Decimation transformations for two-dimensional Ising spin systems (1977) (10)
- Critical behavior in truncated quantum O( n) spin systems (1981) (9)
- Migdal transformations of O(2)-symmetric spin Hamiltonians (1983) (9)
- Upper bounds to free energies by renormalization group methods (1977) (8)
- Critical-Phenomena in Systems of Finite-Thickness (1972) (8)
- Perturbation series for the mass gap of the (1+1)-dimensional O(2)-model (1985) (7)
- On the critical behavior of the Ising model with mixed two- and three-spin interactions (1987) (7)
- On the nature of the critical point in the three-spin triangular Ising model (1976) (7)
- Phenomenological renormalization and scaling fields (1983) (7)
- Helicity modulus for an ideal Bose fluid (1977) (6)
- Ground state of the J Ising spin glass (1987) (5)
- Optimal variation approximations to renormalisation group transformations. I. Theory (1977) (5)
- Critical exponent for the surface magnetization of the three-dimensional Ising model (1973) (5)
- The critical line of an asymmetric eight vertex model (1985) (4)
- A direct real-space renormalisation calculation of the exponent gamma for self-avoiding walks (1984) (4)
- Real space renormalization group calculations for the 3-dimensional Ising model (1977) (4)
- Phenomenological renormalization of multi-parameter systems (1985) (4)
- High-field Polynomial Expansions for the Six-state Planar Potts Model (1981) (4)
- On the extension of the Boltzmann equation to include pair correlations (1975) (3)
- Cross-over phenomena in the asymptotic behaviour of lattice sums (1977) (3)
- Travelling waves in phase field models of solidification (1995) (3)
- Scaling Theory for Finite-Size Effects in the Critical Region* (1988) (2)
- A comparison of some lower bounds for eigenvalues of Schrodinger's equation (1983) (2)
- QUANTUM SPIN CHAINS: CONFORMAL INVARIANCE AND INTEGRABILITY (1990) (2)
- Statistical mechanics: A perspective on the work of R.J. Baxter☆ (1991) (2)
- On the validity of a critical exponent relation proposed by Chang (1973) (1)
- Erratum: Hamiltonian studies of the two-dimensional axial next-nearest neighbour Ising (ANNNI) model: II. Finite-lattice mass gap calculations (Journal of Physics A: Mathematical and General (1982) 15 (3219-3233)) (1983) (1)
- Optimal variational approximations to renormalization groups. II. Determination of optimal parameters (1980) (1)
- On the nature of anomalous terms in the dispersion relation at small wavenumber (1977) (1)
- Velocity and shape selection in dendritic growth (1992) (0)
- Bounds for free energy derivatives using renormalization group methods (1980) (0)
- Remnant functions (1972) (0)
- Robert Street 1920–2013 (2016) (0)
- Critical behaviour of the BNNNI model in two dimensions (1986) (0)
- Miniconference on geometry and physics (Canberra, 20-23 February, 1989) (1989) (0)
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