Invaded Cluster Dynamics for Frustrated Models

TL;DR

This paper extends the Invaded Cluster dynamics to the fully frustrated Ising model, demonstrating intrinsic fluctuations, lack of critical slowing down, and evidence of self-organized criticality in the system.

Contribution

It introduces an extension of the Invaded Cluster dynamics to a frustrated model and analyzes its properties, revealing intrinsic fluctuations and self-organized criticality.

Findings

Fluctuations are intrinsic to the IC dynamics.

Relaxation time is very short and size-independent.

Fluctuation-dissipation theorem does not hold.

Abstract

The Invaded Cluster (IC) dynamics introduced by Machta et al. [Phys. Rev. Lett. 75 2792 (1995)] is extended to the fully frustrated Ising model on a square lattice. The properties of the dynamics which exhibits numerical evidence of self-organized criticality are studied. The fluctuations in the IC dynamics are shown to be intrinsic of the algorithm and the fluctuation-dissipation theorem is no more valid. The relaxation time is found very short and does not present critical size dependence.