Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under non-equilibrium condition

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dc.creatorNakamura, Takenobu
dc.creatorSasa, Shin-ichi
dc.date2006-03-24
dc.date.accessioned2026-07-07T12:47:40Z
dc.date.available2026-07-07T12:47:40Z
dc.descriptionWe study the statistical properties of many Brownian particles under the 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 $\ell$ in a two-dimensional space. In particular, we focus on two asymptotic cases, $\ell_{\rm int} \ll \ell$ and $\ell_{\rm int} \gg \ell$, where $\ell_{\rm int}$ 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 $\ell$ for both the 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 the long-range correlation of the type $r^{-d}$ ($d=2$) for the case $\ell_{\rm int} \gg \ell$, while no such behavior is observed for the case $\ell_{\rm int}\ll \ell$.
dc.identifierhttps://arxiv.org/abs/cond-mat/0603645
dc.identifierhttp://arxiv.org/abs/cond-mat/0603645
dc.identifierPhys. Rev. E 74, 031105 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.031105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221800
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleSystematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under non-equilibrium condition
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