# High resolution Monte Carlo study of the Domb-Joyce model

## TL;DR

This paper uses high-resolution Monte Carlo simulations to precisely identify the optimal interaction parameter in the Domb-Joyce model, reducing correction-to-scaling effects for better modeling of self-avoiding walks.

## Contribution

It provides an accurate determination of the interaction parameter that minimizes correction-to-scaling in the Domb-Joyce model, enhancing its effectiveness.

## Key findings

- Optimal interaction parameter identified with high precision
- Leading correction-to-scaling term has zero amplitude at this parameter
- Improved model for weakly self-avoiding walks

## Abstract

We study the Domb-Joyce model of weakly self-avoiding walks on the simple cubic lattice via Monte Carlo simulations. We determine to excellent accuracy the value for the interaction parameter which results in an improved model for which the leading correction-to-scaling term has zero amplitude.