# Phase transitions in solvent dependent polymer adsorption in three dimensions

## TL;DR

This paper investigates the phase diagram of self-avoiding walks on a cubic lattice, analyzing how surface and bulk interactions influence polymer adsorption and solvent quality, revealing critical behaviors and phase boundaries.

## Contribution

It provides new simulation results that complete the phase diagram and clarify how bulk interactions affect the adsorption transition in polymers.

## Key findings

- Adsorption transition is influenced by bulk interaction strength.
- Changes in the crossover exponent align with phase boundaries.
- Complete phase diagram of polymer adsorption in three dimensions.

## Abstract

We consider the phase diagram of self-avoiding walks (SAW) on the simple cubic lattice subject to surface and bulk interactions, modeling an adsorbing surface and variable solvent quality for a polymer in dilute solution, respectively. We simulate SAWs at specific interaction strengths to focus on locating certain transitions and their critical behavior. By collating these new results with previous results we sketch the complete phase diagram and show how the adsorption transition is affected by changing the bulk interaction strength. This expands on recent work considering how adsorption is affected by solvent quality. We demonstrate that changes in the adsorption crossover exponent coincide with phase boundaries.