Fokker-Planck-Boltzmann Equation for Dissipative Particle Dynamics

TL;DR

This paper develops a theoretical framework for Dissipative Particle Dynamics by proving an H-theorem, deriving hydrodynamic equations, and explicitly calculating equilibrium and transport properties based on system parameters.

Contribution

It introduces a rigorous theoretical foundation for DPD, including an H-theorem and explicit calculations of fluid properties, advancing understanding of DPD's thermodynamics and hydrodynamics.

Findings

Proved an H-theorem for the free energy in DPD.

Derived hydrodynamic equations from DPD.

Calculated equilibrium and transport properties explicitly.

Abstract

The algorithm for Dissipative Particle Dynamics (DPD), as modified by Espagnol and Warren, is used as a starting point for proving an H-theorem for the free energy and deriving hydrodynamic equations. Equilibrium and transport properties of the DPD fluid are explicitly calculated in terms of the system parameters for the continuous time version of the model.