# Coarsening and percolation in the Ising Model with quenched disorder

Source: [Coarsening and percolation in the Ising Model with quenched disorder](<https://www.sota2.com/research/paper/68fa38581e209131ce8b993d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:53:33.035Z

Authors: F. Insalata, F. Corberi, L.F. Cugliandolo, M. Picco

Published: 2017-11-13T13:08:31.000Z

## Abstract

Through large-scale numerical simulations, we study the phase ordering kinetics of the $2d$ Ising Model after a zero-temperature quench from a high-temperature homogeneous initial condition. Analysing the behaviour of two important quantities -- the winding angle and the pair-connectedness -- we reveal the presence of a percolating structure in the pattern of domains. We focus on the pure case and on the random field and random bond Ising Model.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1711.04562>)

[PDF](<https://arxiv.org/pdf/1711.04562.pdf>)
