Kinetic theory for dissipative particle dynamics: the importance of collisions

TL;DR

This paper develops a kinetic theory for dissipative particle dynamics using Boltzmann collision theory, computes transport coefficients, and reveals new scaling behaviors at high dissipation levels.

Contribution

It introduces a comprehensive kinetic theory framework for dissipative particle dynamics that resolves previous discrepancies and explores new scaling regimes.

Findings

Transport coefficients match simulations well

Weak scattering limit aligns with Vlasov theory

New scaling laws emerge at high dissipation

Abstract

Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations. Previous theory is found to correspond to a weak scattering limit, or Vlasov theory, and previously reported discrepancies with simulations are thereby resolved. In the large dissipation limit, we find qualitatively new scaling properties for the transport coefficients.