Energy of the Interacting Self-Avoiding Walk at the $\theta-$point

TL;DR

This paper investigates a new microcanonical polymer model on a cubic lattice, revealing an intriguing exact relation for the internal energy per monomer at the $ heta$-point through numerical simulations.

Contribution

It introduces a novel microcanonical model for polymers and uncovers an exact relation for the energy at the $ heta$-point.

Findings

Numerical simulations suggest an exact relation for the internal energy per monomer.

The model fixes the range and number of nearest-neighbor contacts.

Insights into the energy behavior at the $ heta$-point for self-avoiding walks.

Abstract

We perform a numerical study of a new microcanonical polymer model on the three dimensional cubic lattice, consisting of ideal chains whose range and number of nearest-neighbor contacts are fixed to given values. Our simulations suggest an interesting exact relation concerning the internal energy per monomer of the Interacting Self-Avoiding Walk at the $\theta-$point.