Monte Carlo Simulations of the two-dimensional dipolar fluid

TL;DR

This paper uses Monte Carlo simulations to analyze the phase behavior and dielectric properties of a two-dimensional dipolar hard disk fluid on different geometries, revealing a low-temperature phase of living polymers.

Contribution

It introduces a comparative study of dipolar fluids on square and spherical geometries, deriving dielectric and correlation theories, and explores the stability and phase diagram of the system.

Findings

Evidence of a living polymer phase at low temperatures

Equivalence of simulation methods on different geometries

Tentative phase diagram of the dipolar fluid

Abstract

We study a two-dimensional fluid of dipolar hard disks by Monte Carlo simulations in a square with periodic boundary conditions and on the surface of a sphere. The theory of the dielectric constant and the asymptotic behaviour of the equilibrium pair correlation function in the fluid phase is derived for both geometries. After having established the equivalence of the two methods we study the stability of the liquid phase in the canonical ensemble. We give evidence of a phase made of living polymers at low temperatures and provide a tentative phase diagram.