Derivation of the residence time for kinetic Monte Carlo simulations

TL;DR

This paper presents a method to accurately calculate the residence time in kinetic Monte Carlo simulations, enhancing the understanding of the temporal dynamics in stochastic physical systems.

Contribution

It introduces a novel approach to derive the residence time for kinetic Monte Carlo simulations, which was previously not explicitly formulated.

Findings

Derived a formula for residence time calculation

Improved accuracy of time estimation in simulations

Applicable to various stochastic physical systems

Abstract

The kinetic Monte Carlo method is a standard approach for simulating physical systems whose dynamics are stochastic or that evolve in a probabilistic manner. Here we show how to calculate the system time for such simulations.