%0 Journal Article %1 WOS:000078289900022 %A Vieira, AP %A Goncalves, LL %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 1999 %I ELSEVIER SCIENCE BV %J JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS %K Ising interactions} long-range model; random {one-dimensional %N 1 %P 177-190 %R 10.1016/S0304-8853(98)00362-X %T One-dimensional Ising model with long-range and random short-range interactions %V 192 %X The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by Paladin et al. (J. Phys. I France 4 (1994) 1597). Exact results are obtained for the thermodynamic functions at arbitrary temperatures, and special attention is given to the induced and spontaneous magnetization. At low temperatures the system can exist in a `ferrimagnetic' phase with magnetization 0 < sigma < 1, in addition to the usual paramagnetic, ferromagnetic and antiferromagnetic phases. For a fixed distribution of the random variables the system presents up to three tricritical points for different intensities of the long-range interactions. Field-temperature diagrams can present up to four critical points. (C) 1999 Elsevier Science B.V. All rights reserved.

@article{WOS:000078289900022, abstract = {The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by Paladin et al. (J. Phys. I France 4 (1994) 1597). Exact results are obtained for the thermodynamic functions at arbitrary temperatures, and special attention is given to the induced and spontaneous magnetization. At low temperatures the system can exist in a `ferrimagnetic' phase with magnetization 0 < sigma < 1, in addition to the usual paramagnetic, ferromagnetic and antiferromagnetic phases. For a fixed distribution of the random variables the system presents up to three tricritical points for different intensities of the long-range interactions. Field-temperature diagrams can present up to four critical points. (C) 1999 Elsevier Science B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Vieira, AP and Goncalves, LL}, biburl = {https://www.bibsonomy.org/bibtex/2fe89a01fbf8c7f7340a3f187c602ec98/ppgfis_ufc_br}, doi = {10.1016/S0304-8853(98)00362-X}, interhash = {dd40414dd0c9bf6aa750be218f5483c2}, intrahash = {fe89a01fbf8c7f7340a3f187c602ec98}, issn = {0304-8853}, journal = {JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS}, keywords = {Ising interactions} long-range model; random {one-dimensional}, number = 1, pages = {177-190}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {One-dimensional Ising model with long-range and random short-range interactions}, tppubtype = {article}, volume = 192, year = 1999 }