Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Jacques H. H. Perk"'
Autor:
Jacques H. H. Perk
Publikováno v:
Symmetry, Vol 15, Iss 2, p 374 (2023)
We show that Zhang Degang’s claimed solution of the three-dimensional Ising model has fatal irreparable errors.
Externí odkaz:
https://doaj.org/article/8a2ddf1ee2ae45efa4632905e6f38e3c
This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Ins
Publikováno v:
Integrable Systems in Quantum Field Theory and Statistical Mechanics, M. Jimbo, T. Miwa and A. Tsuchiya, eds. (Tokyo: Mathematical Society of Japan, 1989)
We compute the eigenvalues of the 3-state superintegrable chiral Potts model and of the associated spin chain by use of a functional equation. We find that the system has four phases, two of which are massless and two of which are massive.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce6335e9782f1cceb6ccf9de11802975
https://doi.org/10.2969/aspm/01910001
https://doi.org/10.2969/aspm/01910001
In the neighbourhood of the critical point, the correlation length of the spin-spin correlation function of the two-dimensional Ising model diverges. The correlation function permits a scaling limit in which the separation $N$ between spins goes to i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ff5bfd1bc0e1b845b67e310befc58f8
Autor:
Jacques H. H. Perk
Publikováno v:
Philosophical Magazine. 89:761-764
It is argued that a recent article by Z.-D. Zhang is in error and violates well-known theorems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5482cb53d6c17f4f414a525fa848db6e
https://doi.org/10.1080/14786430902776970
https://doi.org/10.1080/14786430902776970
Autor:
Jacques H. H. Perk, Helen Au-Yang
Publikováno v:
Journal of Statistical Physics. 127:265-286
We study the q-dependent susceptibility chi(q) of a series of quasiperiodic Ising models on the square lattice. Several different kinds of aperiodic sequences of couplings are studied, including the Fibonacci and silver-mean sequences. Some identitie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7afd742bdce70c16e11278d30508111
https://doi.org/10.1007/s10955-006-9213-9
https://doi.org/10.1007/s10955-006-9213-9
Autor:
Jacques H. H. Perk, Helen Au-Yang
Publikováno v:
Journal of Statistical Physics. 127:221-264
We study the q-dependent susceptibility chi(q) of a Z-invariant ferromagnetic Ising model on a Penrose tiling, as first introduced by Korepin using de Bruijn's pentagrid for the rapidity lines. The pair-correlation function for this model can be calc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7eb106a567d5b8c12e3648508175647
https://doi.org/10.1007/s10955-006-9212-x
https://doi.org/10.1007/s10955-006-9212-x
Autor:
Michael E. Fisher, Jacques H. H. Perk
Two recent articles by Norman H. March that contain misleading statements concerning 3D Ising models, partly based on earlier erroneous work of Z.D. Zhang, are addressed.
Two pages, no figures, comment accepted by Physics Letters A. Version 2: c
Two pages, no figures, comment accepted by Physics Letters A. Version 2: c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05ce7085d45b5331cad71beef00f5d12
http://arxiv.org/abs/1511.08521
http://arxiv.org/abs/1511.08521
Autor:
Helen Au-Yang, Jacques H. H. Perk
Monodromy matrices of the $\tau_2$ model are known to satisfy a Yang--Baxter equation with a six-vertex $R$-matrix as the intertwiner. The commutation relations of the elements of the monodromy matrices are completely determined by this $R$-matrix. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f63da82bff1d960851b43c751688550
http://arxiv.org/abs/1511.08523
http://arxiv.org/abs/1511.08523