Stable algorithm for event detection in event-driven particle dynamics: logical states

TL;DR

This paper extends a stable event-detection algorithm to complex interaction models like square-well potentials by introducing an additional state variable, improving accuracy in event prediction for particle systems.

Contribution

It introduces a new approach that incorporates an extra state variable to handle complex interactions in event-driven particle dynamics.

Findings

Enhanced event detection stability for complex potentials

Accurate prediction of interaction events in stepped potential systems

Integration of additional state tracking into existing algorithms

Abstract

Following the recent development of a stable event-detection algorithm for hard-sphere systems, the implications of more complex interaction models are examined. The relative location of particles leads to ambiguity when it is used to determine the interaction state of a particle in stepped potentials, such as the square-well model. To correctly predict the next event in these systems, the concept of an additional state that is tracked separately from the particle position is introduced and integrated into the stable algorithm for event detection.