Statistical Mechanics of Dissipative Particle Dynamics.

  title={Statistical Mechanics of Dissipative Particle Dynamics.},
  author={Pep Espa{\~n}ol and Patrick B. Warren},
The stochastic differential equations corresponding to the updating algorithm of Dissipative Particle Dynamics (DPD), and the corresponding Fokker-Planck equation are derived. It is shown that a slight modification to the algorithm is required before the Gibbs distribution is recovered as the stationary solution to the Fokker-Planck equation. The temperature of the system is then directly related to the noise amplitude by means of a fluctuation-dissipation theorem. However, the correspondingly… 

Simulating Microswimmers Under Confinement With Dissipative Particle (Hydro) Dynamics

In this work we study microwimmers, whether colloids or polymers, embedded in bulk or in confinement. We explicitly consider hydrodynamic interactions and simulate the swimmers via an implementation

Temperature Error Reduction of DPD Fluid by Using Partitioned Runge-Kutta Time Integration Scheme

This study puts emphasis on reducing the temperature error of dissipative particle dynamics (DPD) fluid by directly applying a minimal-stage third-order partitioned Runge-Kutta (PRK3) method to the

Chapter 5 Dissipative Particle Dynamics : Foundation , Evolution , Implementation , and Applications

Dissipative particle dynamics (DPD) is a particle-based Lagrangian method for simulating dynamic and rheological properties of simple and complex fluids at mesoscopic length and time scales. In this

Active chromatin and transcription play a key role in chromosome partitioning into topologically associating domains.

The mechanism of TAD self-assembly is proposed based on the ability of nucleosomes from inactive chromatin to aggregate, and lack of this ability in acetylated nucleosomal arrays, and this hypothesis is tested by polymer simulations.

DPD Model of Foraminiferal Chamber Formation: Simulation of Actin Meshwork - Plasma Membrane Interactions

DPD simulation techniques are applied to model interactions between the plasma membrane and actin meshwork to test their role in the formation of cell body and test architecture in foraminiferal chamber formation and shell morphogenesis.

Migration of DNA molecules through entropic trap arrays: a dissipative particle dynamics study

Dissipative particle dynamics (DPD) simulations of worm-like chain bead-spring models are used to explore the electrophoresis migration of DNA molecules traveling through narrow constrictions. The

Geometric ergodicity for dissipative particle dynamics

Dissipative particle dynamics is a model of multi-phase fluid flows described by a system of stochastic differential equations. We consider the problem of N particles evolving on the one-dimensional



Molecular dynamics versus hydrodynamics in a two-dimensional Rayleigh-Bénard system.

On compare une simulation microscopique d'un fluide, fait de 500 disques durs et maintenu a un nombre de Rayleigh supercritique, a l'hydrodynamique macroscopique correspondante. De tres bonnes

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1 There is a degree of arbitrariness here since factors of t may be inserted in any of the terms without aaecting the result at t = 1. We have made the simplest choice

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