Simple Model of First-Order Phase Transition

TL;DR

This paper introduces a simple one-dimensional model to study first-order phase transitions, analyzing its properties through theoretical methods, Monte Carlo simulations, and energy level calculations.

Contribution

It presents a new minimal model capturing key features of first-order phase transitions, supported by theoretical and numerical analysis.

Findings

Identifies the role of phase borders in transition properties

Demonstrates the model's phase transition behavior through simulations

Provides numerical energy distribution data for the system

Abstract

One-dimensional model of a system where first-order phase transition occurs is examined in the present paper. It is shown that basic properties of the phenomenon, such as a well defined temperature of transition, are caused both by existence of a border between the phases and the fact that only in the vicinity of that border it is possible for molecules to change their phase. Not only the model is introduced and theoretical analysis of its properties is made but also the results of Monte Carlo simulations are presented together with the results of numerical calculation of the distribution of energy levels of the system.