Monte Carlo Simulations for the Slow Relaxations of Crumpled Surfaces

TL;DR

This paper uses Monte Carlo simulations to analyze the slow relaxation dynamics of crumpled surfaces modeled as spin clusters, revealing a stretched exponential relaxation behavior.

Contribution

It introduces a spin-based Monte Carlo model to study the relaxation dynamics of crumpled surfaces, highlighting their fractal and slow relaxation properties.

Findings

Crumpled surfaces exhibit stretched exponential relaxation.

The model captures the slow dynamics of crumpled structures.

Fractal nature influences relaxation behavior.

Abstract

In this paper we study crumpled surfaces through Monte Carlo Simulations. The crumpled surface is represented by a cluster of spins pointing up and spins pointing down represent the air both inside and around the surface. We follow the time dynamics of this fractal structure and we have shown that it presents a stretched exponential behaviour.