Observation of a tricritical wedge filling transition in the 3D Ising model

TL;DR

This paper provides evidence of a tricritical filling transition in a 3D Ising model within a wedge geometry, using Monte Carlo simulations and finite-size scaling analysis to identify a novel critical phenomenon.

Contribution

It introduces the first simulation-based evidence of tricritical filling transition in a 3D Ising model and adapts existing phenomenological theory to this new critical point.

Findings

Identification of a tricritical filling transition distinct from critical filling.

Good agreement between simulations and theoretical predictions for tricritical filling.

Evidence of a novel critical phenomenon in wedge geometries.

Abstract

In this Letter we present evidences of the occurrence of a tricritical filling transition for an Ising model in a linear wedge. We perform Monte Carlo simulations in a double wedge where antisymmetric fields act at the top and bottom wedges, decorated with specific field acting only along the wegde axes. A finite-size scaling analysis of these simulations shows a novel critical phenomenon, which is distinct from the critical filling. We adapt to tricritical filling the phenomenological theory which successfully was applied to the finite-size analysis of the critical filling in this geometry, observing good agreement between the simulations and the theoretical predictions for tricritical filling.