Journal Article FZJ-2012-00170

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Hydrodynamic correlations in multiparticle collision dynamics fluids

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2012
APS College Park, Md.

Physical review / E 86(5), 056711 () [10.1103/PhysRevE.86.056711]

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Abstract: The emergent fluctuating hydrodynamics of the multiparticle collision dynamics (MPC) approach, a particle-based mesoscale simulation technique for fluid dynamics, is analyzed theoretically and numerically. We focus on the stochastic rotation dynamics implementation of the MPC method. The fluid is characterized by its longitudinal and transverse velocity correlation functions in Fourier space and velocity autocorrelation functions in real space. Particular attention is paid to the role of sound, which leads to piecewise negative correlation functions. Moreover, finite system-size effects are addressed with an emphasis on the role of sound. Analytical expressions are provided for the transverse and longitudinal velocity correlations, which are derived from the linearized Landau-Lifshitz Navier-Stokes equation adopted for an isothermal MPC fluid. The comparison of the analytical results with simulations shows excellent agreement above a minimal length scale. The simulations indicate a breakdown in hydrodynamics on length scales smaller than this minimal length. This demonstrates that we have an excellent analytical description and understanding of the MPC method and its limitations in terms of time and length scales.

Classification:

Contributing Institute(s):
  1. Theorie der Weichen Materie und Biophysik (ICS-2)
  2. Theorie der Weichen Materie und Biophysik (IAS-2)
Research Program(s):
  1. 451 - Soft Matter Composites (POF2-451) (POF2-451)

Appears in the scientific report 2012
Database coverage:
Medline ; American Physical Society Transfer of Copyright Agreement ; OpenAccess ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection ; Zoological Record
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 Record created 2012-12-03, last modified 2024-06-10