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We study the equilibrium dynamics of a single polymer chain under good solvent condition. Special emphasis is laid on varying the drag force experienced by the chain while it moves. To this end we model the solvent in a mesoscopic manner by…

Soft Condensed Matter · Physics 2019-05-01 Suman Majumder , Henrik Christiansen , Wolfhard Janke

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

We propose an efficient simulation algorithm based on the dissipative particle dynamics (DPD) method for studying electrohydrodynamic phenomena in electrolyte fluids. The fluid flow is mimicked with DPD particles while the evolution of the…

Computational Physics · Physics 2015-06-23 Stefan Medina , Jiajia Zhou , Zhen-Gang Wang , Friederike Schmid

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. The aim of this work is to extend SDPD to chemically reactive systems.To this end, an…

Fluid Dynamics · Physics 2017-09-13 Gérôme Faure , Jean-Bernard Maillet

We show that simulations of polymer rheology at a fluctuating mesoscopic scale and at the macroscopic scale where flow instabilities occur can be achieved at the same time with dissipative particle dynamics (DPD) technique.} We model the…

Several methods for preparing well equilibrated melts of long chains polymers are studied. We show that the standard method in which one starts with an ensemble of chains with the correct end-to-end distance arranged randomly in the…

Soft Condensed Matter · Physics 2009-11-10 Rolf Auhl , Ralf Everaers , Gary S. Grest , Kurt Kremer , Steven J. Plimpton

We study by means of numerical simulations the model of dissipative particle dynamics with energy conservation for the simple case of thermal conduction. It is shown that the model displays correct equilibrium fluctuations and reproduces…

Statistical Mechanics · Physics 2016-08-31 Marisol Ripoll , Pep Español , Matthieu H. Ernst

We study numerical methods for dissipative particle dynamics (DPD), which is a system of stochastic differential equations and a popular stochastic momentum-conserving thermostat for simulating complex hydrodynamic behavior at mesoscales.…

Numerical Analysis · Mathematics 2021-06-08 Xiaocheng Shang

A brief overview of mesoscopic modelling via dissipative particle dynamics is presented, with emphasis on the appropriate parametrisation and how to calculate the relevant parameters for given realistic systems. The dependence on…

Chemical Physics · Physics 2016-02-19 E. Mayoral , E. Nahmad-Achar

We develop reduced, stochastic models for high dimensional, dissipative dynamical systems that relax very slowly to equilibrium and can encode long term memory. We present a variety of empirical and first principles approaches for model…

Statistical Mechanics · Physics 2017-05-24 Shankar C. Venkataramani , Raman C. Venkataramani , Juan M. Restrepo

The finite-difference time-domain (FDTD) algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the explicit nature of the method. Stability enforcement can be…

Computational Engineering, Finance, and Science · Computer Science 2018-12-26 Fadime Bekmambetova , Xinyue Zhang , Piero Triverio

We present a new reduced-order computational method for the molecular dynamics simulation of entangled polymer systems. The polymer chains are modeled as continuous Gaussian chains. Our algorithm is based on the application of the molecular…

Soft Condensed Matter · Physics 2020-09-02 Aruna Mohan , GH Fredrickson

We provide a two dimensional deformation model to describe how soft squishy circular particles respond to external forces and collisions. This model involves formulating mathematical equations and algorithms for the shape of a deformed…

Soft Condensed Matter · Physics 2024-08-28 Roshan Maharana

Synthetic polymers have a distribution of chain lengths which can be characterized by dispersity, D. Macroscopic properties of polymers are influenced by chain mobility in the melt and manipulating D can significantly impact these…

Chemical Physics · Physics 2024-09-30 Taofeek Tejuosho , Sohil Kollipara , Sumant Patankar , Janani Sampath

An extension of the H-theorem for dissipative particle dynamics (DPD) to the case of a multi-component fluid is made. Detailed balance and an additional H-theorem are proved for an energy-conserving version of the DPD algorithm. The…

Statistical Mechanics · Physics 2009-10-31 C. A. Marsh , P. V. Coveney

We present a novel approach of mapping dissipative particle dynamics (DPD) into classical molecular dynamics. By introducing the invariant volume element representing the swarm of atoms we show that the interactions between the emerging…

Soft Condensed Matter · Physics 2019-02-19 Vlad P Sokhan , Ilian T Todorov

The Discrete Particle Method (DPM) is used to model granular flows down an inclined chute. We observe three major regimes: static piles, steady uniform flows and accelerating flows. For flows over a smooth base, other (quasi-steady) regimes…

Soft Condensed Matter · Physics 2011-08-26 Thomas Weinhart , Anthony Thornton , Stefan Luding , Onno Bokhove

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

Fluid Dynamics · Physics 2024-06-26 Paul Meakin , Zhijie Xu

A dissipative particle dynamics (DPD) model for the quantitative simulation of biofilm growth controlled by substrate (nutrient) consumption, advective and diffusive substrate transport, and hydrodynamic interactions with fluid flow…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky , Timothy. D. Scheibe

We introduce a method for determining the functional form of the stochastic and dissipative interactions in a dissipative particle dynamics (DPD) model from projected phase space trajectories. The DPD model is viewed as a coarse graining of…

Soft Condensed Matter · Physics 2009-11-13 Anders Eriksson , Martin Nilsson Jacobi , Johan Nystrom , Kolbjorn Tunstrom