Modelling inelastic Granular Media Using Dynamical Density Functional Theory

B. D. Goddard, T. D. Hurst*, R. Ocone

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
34 Downloads (Pure)

Abstract

We construct a new mesoscopic model for granular media using Dynamical Density Functional Theory (DDFT). The model includes both a collision operator to incorporate inelasticity and the Helmholtz free energy functional to account for external potentials, interparticle interactions and volume exclusion. We use statistical data from event-driven microscopic simulations to determine the parameters not given analytically by the closure relations used to derive the DDFT. We numerically demonstrate the crucial effects of each term and approximations in the DDFT, and the importance of including an accurately parametrised pair correlation function.

Original languageEnglish
Article number6
JournalJournal of Statistical Physics
Volume183
Issue number1
Early online date27 Mar 2021
DOIs
Publication statusPublished - 27 Mar 2021

Keywords

  • Dynamical Density Functional Theory
  • Granular media

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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