Some recent (and surprising) results on interface and contact line depinning in random media

TL;DR

This paper reviews recent findings on the depinning transition of interfaces and contact lines in random media, utilizing Monte Carlo simulations, renormalization group calculations, and exact solutions to understand their critical behavior.

Contribution

It provides a comprehensive overview of new results obtained through diverse methods on interface and contact line depinning phenomena.

Findings

Insights from non-local Monte Carlo algorithms

Results from 2-loop order renormalization group calculations

Exact solutions of an infinite-range model

Abstract

I give a brief review of results obtained recently at Ecole Normale on the depinning transition of interfaces and contact lines using a variety of approaches: non-local Monte Carlo algorithms, dynamical renormalization group calculations to 2-loop order, and exact solution of an infinite-range model.