D'Auriac, J.C.A. and Iglói, Ferenc (2016) Phase transitions of the random-bond Potts chain with long-range interactions. PHYSICAL REVIEW E: COVERING STATISTICAL NONLINEAR BIOLOGICAL AND SOFT MATTER PHYSICS (2016-), 94 (6). ISSN 2470-0045
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Abstract
We study phase-transitions of the ferromagnetic q-state Potts chain with random nearest- neighbour couplings having a variance ∆2 and with homogeneous long-range interactions, which decay with the distance as a power r−(1+σ), σ > 0. In the large-q limit the free-energy of random samples of length L ≤ 2048 is calculated exactly by a combinatorial optimization algorithm. The phase-transition stays first-order for σ < σc(∆) ≤ 0.5, while the correlation length becomes diver- gent at the transition point for σc(∆) < σ < 1. In the latter regime the average magnetization is continuous for small enough ∆, but for larger ∆ it is discontinuous at the transition point, thus the phase-transition is of mixed order.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QC Physics / fizika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 19 Sep 2023 14:21 |
Last Modified: | 19 Sep 2023 14:21 |
URI: | http://real.mtak.hu/id/eprint/174065 |
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