Correlations and structure of interfaces in the Ising model: theory and numerics

A Squarcini, A Tinti - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
We consider phase separation on the strip for the two-dimensional Ising model in the near-
critical region. Within the framework of field theory, we find exact analytic results for certain …

Shape and interfacial structure of droplets. Exact results and simulations

A Squarcini, A Tinti - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
We consider the fluctuating interface of a droplet pinned on a flat wall. For such a system we
compare results obtained within the exact field theory of phase separation in two dimensions …

Interfacially adsorbed bubbles determine the shape of droplets

A Squarcini, A Tinti - SciPost Physics, 2023 - scipost.org
The characterization of density correlations in the presence of strongly fluctuating interfaces
has always been considered a difficult problem in statistical mechanics. Here we study-by …

[HTML][HTML] Particles, string and interface in the three-dimensional Ising model

G Delfino, W Selke, A Squarcini - Nuclear Physics B, 2020 - Elsevier
We consider the three-dimensional Ising model slightly below its critical temperature, with
boundary conditions leading to the presence of an interface. We show how the interfacial …

Structure of interfaces at phase coexistence. Theory and numerics

G Delfino, W Selke, A Squarcini - Journal of Statistical Mechanics …, 2018 - iopscience.iop.org
We compare results of the exact field theory of phase separation in two dimensions with
Monte Carlo simulations for the q-state Potts model with boundary conditions producing an …

Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations

A Squarcini, A Tinti - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
We derive exact analytic results for several four-point correlation functions for statistical
models exhibiting phase separation in two-dimensions. Our theoretical results are then …

Long range correlations generated by phase separation. Exact results from field theory

G Delfino, A Squarcini - Journal of High Energy Physics, 2016 - Springer
A bstract We consider near-critical planar systems with boundary conditions inducing phase
separation. While order parameter correlations decay exponentially in pure phases, we …

Interface localization near criticality

G Delfino - Journal of High Energy Physics, 2016 - Springer
A bstract The theory of interface localization in near-critical planar systems at phase
coexistence is formulated from first principles. We show that mutual delocalization of two …

Multipoint correlation functions at phase separation. Exact results from field theory

A Squarcini - Journal of High Energy Physics, 2021 - Springer
A bstract We consider near-critical two-dimensional statistical systems with boundary
conditions inducing phase separation on the strip. By exploiting low-energy properties of two …

Droplet-mediated long-range interfacial correlations. Exact field theory for entropic repulsion effects

A Squarcini, A Tinti - Journal of High Energy Physics, 2023 - Springer
A bstract We consider near-critical two-dimensional statistical systems at phase coexistence
on the half plane with boundary conditions leading to the formation of a droplet separating …