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 …

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 …

Inelastic decay from integrability

A Burshtein, M Goldstein - PRX Quantum, 2024 - APS
A hallmark of integrable systems is the purely elastic scattering of their excitations. Such
systems possess an extensive number of locally conserved charges, leading to the …

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 …