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8.6 DISSIPATIVE PARTICLE DYNAMICS(8.6耗散粒子动力学)
8.6
DISSIPATIVE PARTICLE DYNAMICS
˜
Pep Espanol
Dept. Física Fundamental, Universidad Nacional de Educaci´on a Distancia,
Aptdo. 60141, E-28080 Madrid, Spain
1. The Original DPD Model
In order to simulate a complex fluid like a polymeric or colloidal fluid,
a molecular dynamics simulation is not very useful. The long time and space
scales involved in the mesoscopic dynamics of large macromolecules or
colloidal particles as compared with molecular scales imply to follow an
exceedingly large number of molecules during exceedingly large times. On
the other hand, at these long scales, molecular details only show up in a rather
coarse form, and the question arises if it is possible to deal with coarse-grained
entities that reproduce the mesoscopic dynamics correctly. Dissipative particle
dynamics (DPD) is a fruitful modeling attempt in that direction.
DPD is a stochastic particle model that was introduced originally as an
off-lattice version of Lattice gas automata (LGA) in order to avoid its lattice
artifacts [1]. The method was put in a proper statistical mechanics context
a few years later [2] and the number of applications since then is growing
steadily. The original DPD model consists of a collection of soft repelling
frictional and noisy balls. From a physical point of view, each dissipative par-
ticle is regarded not as a single molecule of the fluid but rather as a collection
of molecules that move in a coherent fashion. In that respect, DPD can be
understood as a coarse-graining of molecular dynamics. There are three types
of forces between dissipative particles. The first type is a conservative force
deriving from a soft potential that tries to capture the effects of the “pres-
sure” between different particles. The second type of force is a friction force
between the particles that wants to desc
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