# Investigation of dissipative particle dynamics with colored noise

## TL;DR

This paper explores a modified dissipative particle dynamics model incorporating time-correlated noise, revealing unique equilibrium properties and potential for applications beyond traditional molecular simulations.

## Contribution

It introduces a new stochastic force with algebraic correlation in DPD, demonstrating different system behaviors and equilibrium states compared to classical models.

## Key findings

- Velocity distribution remains Gaussian
- Acceleration exhibits bi-modal distribution
- System reaches equilibrium with fluctuation-dissipation balance

## Abstract

We investigate the behavior of dissipative particle dynamics (DPD) with time-correlated random noise. A new stochastic force for DPD is proposed which consists of a random force whose noise has an algebraic correlation proportional to 1/t and is generated by the so called Kangaroo process. We stress the benefits of a time correlated noise in stochastic systems. We show that the system exhibits significantly different properties from classical DPD, driven by Wiener noise. While the probability distribution function of the velocity is Gaussian, the acceleration develops a bi-modal character. Although the fluctuation dissipation theorem may not strictly hold, we demonstrate that the system reaches equilibrium states with fluctuation-dissipation balance. We believe that our explorative research on the DPD model may stimulate the application of modified DPD to unconventional problems beyond molecular modeling.