Non-Markovian effects in the growth of a polymer chain

TL;DR

This paper demonstrates that event-dependent time delays can cause significant non-Poisson effects in polymer chain growth, using an exactly solvable model and stochastic simulations.

Contribution

It introduces a simple exactly solvable model to analyze non-Markovian effects in polymer growth due to event-dependent delays.

Findings

Event-dependent delays lead to non-Poissonian growth statistics

Model predictions are confirmed by stochastic simulations

Non-Markovian effects are significant in polymer chain growth

Abstract

Using a simple exactly solvable model, we show that event-dependent time delays may lead to significant non-Poisson effects in the statistics of polymer chain growth. The results are confirmed by stochastic simulation of various growth scenarios.