Jacques H.H. Perk's Vita Page

BIRTH DATE: November 4, 1948
CITIZENSHIP: Netherlands, Permanent Resident USA

EDUCATION:

Drs. in Theoretical Physics, University of Amsterdam, 1974
Thesis: Bethe Ansatz and One-Dimensional Quantum Systems (in Dutch)

Dr. of Mathematics and Physical Sciences, University of Leiden, 1979
Thesis: Time-Dependent Correlations in the One-Dimensional XY-Model

PROFESSIONAL EXPERIENCE:

Professor of Physics, Department of Physics, OSU, July 1991 - continuing
Invited Professor RIMS, Kyoto, May 1991 - June 1992
Associate Professor, Department of Physics, OSU, August 1988 - July 1991
Assistant Professor, ITP, SUNY, Stony Brook, NY, September 1981 - August 1988
Postdoctoral Fellow, ITP, SUNY, Stony Brook, NY, September 1979 - August 1981
Research Fellow, Instituut-Lorentz, Leiden1975--1979

Ph.D. Theses under supervision of J.H.H. Perk:

Lee-Fen Ko, Correlation Functions of the Ising Model and the Eight-Vertex Model, Stony Brook, August 1985.
M. Tobias Haas, Q-State Generalizations of the Hard Hexagon Model, Stony Brook, June 1987.
Xiang-Peng Kong, Wave-Vector Dependent Susceptibility of the Two-Dimensional Ising Model, Stony Brook, September 1987.
Bai-Qi Jin, Some Aspects of the Chiral Potts Model and the Ising Model, Stillwater, Oklahoma, August 2001.

Some Publications of Jacques H.H. Perk:

J.H.H. Perk, Equations of motion for the transverse correlations of the one-dimensional XY-model at finite temperature, Phys. Lett. 79A (1980) 1-2.
J.H.H. Perk, Quadratic identities for Ising model correlations, Phys.Lett. 79A (1980) 3-5.
J.H.H. Perk and C.L. Schultz, New families of commuting transfer matrices in q-state vertex models, Phys. Lett. 84A (1981) 407-410.
J.H.H. Perk, H.W. Capel, G.R.W. Quispel, and F.W. Nijhoff, Finite-temperature correlations for the Ising chain in a transverse field, Physica 123A (1984) 1-49.
H. Au-Yang and J.H.H. Perk, Critical correlations in a Z-invariant inhomogeneous Ising model, Physica 144A (1987) 44-104.
H. Au-Yang, B.M. McCoy, J.H.H. Perk, S. Tang, and M.-L. Yan, Commuting transfer matrices in the chiral Potts models: Solutions of the star-triangle equations with genus greater than 1, Phys. Lett. 123A (1987) 219-223.
R.J. Baxter, J.H.H. Perk, and H. Au-Yang, New solutions of the star-triangle relations for the chiral Potts model, Phys. Lett. 128A (1988) 138-142.
H. Au-Yang and J.H.H. Perk, Onsager's star-triangle equation: Master key to integrability, Proc. Taniguchi Symposium, Kyoto, October 1988, in: Advanced Studies in Pure Mathematics, Vol. 19, (Kinokuniya-Academic, Tokyo, 1989), pp. 57-94.
R.J. Baxter, V.V. Bazhanov, and J.H.H. Perk, Functional relations for transfer matrices of the chiral Potts model, Intern. J. Modern Phys. B 4 (1990) 803-870.
H. Au-Yang and J.H.H. Perk, The chiral Potts models revisited, J. Stat. Phys. 78 (1995) 17-78. See also its arXiv preprint cond-mat/9407106.
H. Au-Yang and J.H.H. Perk, Chiral Potts model: Exact results and and implications, STATPHYS 19, (World Scientific, Singapore, 1996), pp. 421-428, [invited talk at STATPHYS 19 (Xiamen, China, August 1995)].
H. Au-Yang and J.H.H. Perk, The generalized chiral clock model and its phase diagram, in Statistical Models, Yang-Baxter Equation and Related Topics and Symmetry, Statistical Mechanical Models and Applications, eds. M.L. Ge and F.Y. Wu, (World Scientific, Singapore, 1996), pp. 20-30, [invited talk at STATPHYS 19 Satellite (Nankai, China, August 1995)].
H. Au-Yang and J.H.H. Perk, Phase diagram in the generalized chiral clock models, Physica A 228 (1996) 78-101, (in Festschrift in honor of 60th birthday of Prof. dr. H.W. Capel, edited by F.W. Nijhoff, J.H.H. Perk, and G.R.W. Quispel).
H. Au-Yang and J.H.H. Perk, The many faces of the chiral Potts model, Intern. J. Modern Phys. B 11 (1997) 11-26. See also its arXiv preprint q-alg/9609003.
H. Au-Yang and J.H.H. Perk, The large N limits of the chiral Potts model, Physica A 268 (1999) 175-206. See also its arXiv preprint math.QA/9906029.
W.P. Orrick, B. Nickel, A.J. Guttmann, and J.H.H. Perk, The susceptibility of the square lattice Ising model: New developments, J. Stat. Phys. 102 (2001) 795-841. See also its arXiv preprint cond-mat/0103074 and Guttmann's homepage for the series coefficients or its preprint in PDF format.
W.P. Orrick, B. Nickel, A.J. Guttmann, and J.H.H. Perk, Critical behaviour of the two-dimensional Ising susceptibility, Phys. Rev. Lett. 86 (2001) 4120-4123. See also its arXiv preprint cond-mat/0009059 or its preprint in PDF format.
H. Au-Yang, B.-Q. Jin, and J.H.H. Perk, Wavevector-dependent susceptibility in quasiperiodic Ising models, J. Stat. Phys. 102 (2001) 501-543. See also its preprint in PDF format.
H. Au-Yang, B.-Q. Jin, and J.H.H. Perk, Baxter's solution for the free energy of the chiral Potts model, J. Stat. Phys. 102 (2001) 471-499. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, Wavevector-Dependent Susceptibility in Aperiodic Planar Ising Models, in MathPhys Odyssey 2001: Integrable Models and Beyond, M. Kashiwara and T. Miwa, eds., (Birkhäuser, Boston, 2002), pp. 1-21. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, Correlation Functions and Susceptibility in the Z-Invariant Ising Model, in MathPhys Odyssey 2001: Integrable Models and Beyond, M. Kashiwara and T. Miwa, eds., (Birkhäuser, Boston, 2002), pp. 23-48. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, New Results for Susceptibilities in Planar Ising Models, Int. J. Mod. Phys. B 16 (2002) 2089-2095. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, Star-Triangle Equations and Identities in Hypergeometric Series, Int. J. Mod. Phys. B 16 (2002) 1853-1865. See also its preprint in PDF format.
B.-Q. Jin, H. Au-Yang, and J.H.H. Perk, The Three-State Chiral Clock Model, Int. J. Mod. Phys. B 16 (2002) 1979-1986. See also its preprint in PDF format.
J.H.H. Perk, Fa-Yueh Wu, (Conference in honor of Wu's 70th birthday), Int. J. Mod. Phys. B 16, Nos. 14 & 15 (2002) v-xvi. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, Susceptibility Calculations in Periodic and Quasiperiodic Planar Ising Models, Physica A 321 (2003) 81-89. See also its preprint in PDF format.
H. Au-Yang and J.H.H. Perk, Q-dependent Susceptibilities in Z-invariant Pentagrid Ising Models, J. Stat. Phys., 127 (2007) 221-264. See also its arXiv preprint cond-mat/0409557.
H. Au-Yang and J.H.H. Perk, Q-dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-invariant Ising Models, J. Stat. Phys., 127 (2007) 265-286. See also its arXiv preprint cond-mat/0606301.
J.H.H. Perk and H. Au-Yang, Yang-Baxter Equation, in Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), Vol. 5,, pp. 465-473. See also its extended arXiv preprint math-ph/0606053.
H. Au-Yang and J.H.H. Perk, Overlapping Unit Cells in 3d Quasicrystal Structure, J. Phys. A: Math. Gen. 39 (2006) 9035-9044. See also its arXiv preprint cond-mat/0507117.
J.H.H. Perk and H. Au-Yang, Recent Developments on Ising and Chiral Potts Model, in Differential Geometry and Physics, (Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics), Nankai Tracts in Mathematics, Vol. 10, M.-L. Ge and W. Zhang eds., (World Scientific, Singapore, 2006), pp. 389-398. See also its arXiv preprint math-ph/0606027.
H. Au-Yang and J.H.H. Perk, Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions, in Differential Geometry and Physics, (Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics), Nankai Tracts in Mathematics, Vol. 10, M.-L. Ge and W. Zhang eds., (World Scientific, Singapore, 2006), pp. 123-132. See also its arXiv preprint math-ph/0606028.
J.H.H. Perk and H. Au-Yang, Some Recent Results on Pair Correlation Functions and Susceptibilities in Exactly Solvable Models, J. Phys.: Conf. Ser. Vol. 42 (2006) 231-238. See also its arXiv preprint math-ph/0606046.

Last Updated: 31 June, 2007. This page was prepared by Helen Au-Yang and Jacques H.H. Perk.

jhhp@jperk.phy.okstate.edu