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Phase transition of the long range Ising model in lower dimensions, for $d < \alpha \leq d + 1$, with a Peierls' argument. (arXiv:2309.07942v1 [math.PR]) http://arxiv.org/abs/2309.07942

Phase transition of the long range Ising model in lower dimensions, for $d < α\leq d + 1$, with a Peierls' argument

We extend previous results due to Ding and Zhuang in order to prove that a phase transition occurs for the long range Ising model in lower dimensions. By making use of a recent argument due to Affonso, Bissacot and Maia from 2022 which establishes that a phase transition occurs for the long range, random-field Ising model, from a suggestion of the authors we demonstrate that a phase transition also occurs for the long range Ising model, from a set of appropriately defined contours for the long range system, and a Peierls' argument.

arxiv.org
September 18, 2023 at 3:10 AM · · feed2toot · 0 · 0 · 0
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