%0 Journal Article %1 WOS:000072262000023 %A Goncalves, LL %A Vieira, AP %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 1998 %I ELSEVIER SCIENCE BV %J JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS %K magnetic} model; one-dimensional phase random systems; transitions, {Ising %N 1 %P 76-78 %R 10.1016/S0304-8853(97)00306-5 %T Ising chain with random short- and long-range interactions %V 177 %X An tract solution is obtained for the 1D Ising model, closed chain, with random short-and long-range interactions satisfying bimodal annealed distributions. The long-range interactions satisfy a strongly correlated distribution, and the distribution of the short-range interactions J(i) is explicitly given by (sic)(J(i)) = p delta(J(i)-J(A)) + (1 - p)delta(J(i) - J(B)). For the particular case of uniform ferromagnetic long-range interactions explicit results ale presented for the thermodynamic functions. It is shown that for dilute antiferromagnetic or for competing short-range interactions the spontaneous magnetization of the system can increase with temperature. It is also shown that the magnetization, as a function of temperature, can exhibit discontinuities. in addition to the usual first-and second-order phase transitions shown by the pure model (p = 0 or 1). (C) 1998 Elsevier Science B.V. All rights reserved.

@article{WOS:000072262000023, abstract = {An tract solution is obtained for the 1D Ising model, closed chain, with random short-and long-range interactions satisfying bimodal annealed distributions. The long-range interactions satisfy a strongly correlated distribution, and the distribution of the short-range interactions J(i) is explicitly given by (sic)(J(i)) = p delta(J(i)-J(A)) + (1 - p)delta(J(i) - J(B)). For the particular case of uniform ferromagnetic long-range interactions explicit results ale presented for the thermodynamic functions. It is shown that for dilute antiferromagnetic or for competing short-range interactions the spontaneous magnetization of the system can increase with temperature. It is also shown that the magnetization, as a function of temperature, can exhibit discontinuities. in addition to the usual first-and second-order phase transitions shown by the pure model (p = 0 or 1). (C) 1998 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 = {Goncalves, LL and Vieira, AP}, biburl = {https://www.bibsonomy.org/bibtex/2611e4f0da2be1c0f1eedac269ad311c8/ppgfis_ufc_br}, doi = {10.1016/S0304-8853(97)00306-5}, interhash = {f6ef4932d4b075ee6b41245305d8702a}, intrahash = {611e4f0da2be1c0f1eedac269ad311c8}, issn = {0304-8853}, journal = {JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS}, keywords = {magnetic} model; one-dimensional phase random systems; transitions, {Ising}, note = {International Conference on Magnetism, CAIRNS, AUSTRALIA, JUL 27-AUG 01, 1997}, number = 1, pages = {76-78}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Ising chain with random short- and long-range interactions}, tppubtype = {article}, volume = 177, year = 1998 }