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.
%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
}