Entropic Repulsion and Lack of the g-Measure Property for Dyson Models
Abstract We consider Dyson models, Ising models with slow polynomial decay, at low
temperature and show that its Gibbs measures deep in the phase transition region are not g …
temperature and show that its Gibbs measures deep in the phase transition region are not g …
[PDF][PDF] Phase transitions in multidimensional long-range random field Ising models
We extend a recent argument by Ding and Zhuang from nearest-neighbor to long-range
interactions and prove the phase transition in a class of ferromagnetic random field Ising …
interactions and prove the phase transition in a class of ferromagnetic random field Ising …
Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
L Affonso, R Bissacot, H Corsini, K Welsch - arXiv preprint arXiv …, 2024 - arxiv.org
Following seminal work by J. Fr\" ohlich and T. Spencer on the critical exponent $\alpha= 2$,
we give a proof via contours of phase transition in the one-dimensional long-range …
we give a proof via contours of phase transition in the one-dimensional long-range …
Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range
J Maia - arXiv preprint arXiv:2403.04921, 2024 - arxiv.org
In this thesis, we present results on phase transition for two models: the semi-infinite Ising
model with a decaying field, and the long-range Ising model with a random field. We study …
model with a decaying field, and the long-range Ising model with a random field. We study …
Multidimensional Contours\a la Fr\"{o} hlich-Spencer and Boundary Conditions for Quantum Spin Systems
L Affonso - arXiv preprint arXiv:2310.07946, 2023 - arxiv.org
In this thesis, we present results from the investigation of two problems, one related to the
phase transition of long-range Ising models and the other one associated with the …
phase transition of long-range Ising models and the other one associated with the …
Long-range Ising models: Contours, phase transitions and decaying fields
Long-range Ising models: Contours, phase transitions and decaying fields Page 1 © 2024
European Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI …
European Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI …
On Long Range Ising Models with Random Boundary Conditions
We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair
interactions decaying with power $2-\alpha $(for $0\leq\alpha< 1$), and prepared with …
interactions decaying with power $2-\alpha $(for $0\leq\alpha< 1$), and prepared with …
Phase Transition in Ferromagnetic state Models: Contours, Long-Range Interactions and Decaying Fields
L Affonso, R Bissacot, G Faria, K Welsch - arXiv preprint arXiv:2410.01234, 2024 - arxiv.org
Using the group structure of the state space of $ q-$ state models and a new definition of
contour for long-range spin-systems in $\mathbb {Z}^ d $, with $ d\geq 2$, a …
contour for long-range spin-systems in $\mathbb {Z}^ d $, with $ d\geq 2$, a …
Nucleation for one-dimensional long-range Ising models
In this note we study metastability phenomena for a class of long-range Ising models in one-
dimension. We prove that, under suitable general conditions, the configuration-1-1 is the …
dimension. We prove that, under suitable general conditions, the configuration-1-1 is the …
Phase transitions in low-dimensional long-range random field Ising models
We consider the long-range random field Ising model in dimension $ d= 1, 2$, whereas the
long-range interaction is of the form $ J_ {xy}=| xy|^{-\alpha} $ with $1<\alpha< 3/2$ for $ d …
long-range interaction is of the form $ J_ {xy}=| xy|^{-\alpha} $ with $1<\alpha< 3/2$ for $ d …