Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under nonequilibrium conditions.

We study the statistical properties of many Brownian particles under the influence of both a spatially homogeneous driving force and a periodic potential with period l in a two-dimensional space. In particular, we focus on two asymptotic cases lint<<l and lint>>l , where lint represents the interaction length between two particles. We derive fluctuating hydrodynamic equations describing the evolution of a coarse-grained density field defined on scales much larger than l for both cases. Using the obtained equations, we calculate the equal-time correlation functions of the density field to the lowest order of the interaction strength. We find that the system exhibits long-range correlation of the type r-d (d=2) for the case lint>>l , while no such behavior is observed for the case lint<<l .

• Publication year

  2006

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2006-03-24

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.74.031105arXiv cond-mat/0603645PMID 17025592
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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