Systematic Stochastic Reduction of Inertial Fluid-Structure Interactions subject to Thermal Fluctuations

Abstract

We investigate the dynamics of elastic microstructures within a fluid that are subjected to thermal fluctuations. We perform analysis to obtain systematically simplified descriptions of the mechanics in the limiting regimes when (i) the coupling forces that transfer momentum between the fluid and microstructures is strong, (ii) the mass of the microstructures is small relative to the displaced mass of the fluid, and (iii) the response to stresses results in hydrodynamics that relax rapidly to a quasi-steady-state relative to the motions of the microstructure. We derive effective equations using a singular perturbation analysis of the Backward Kolmogorov equations of the stochastic process. Our continuum mechanics description is based on the Stochastic Eulerian Lagrangian Method (SELM) which provides a framework for approximation of the fluid-structure interactions when subject to thermal fluctuations.

References in corpus (4)

• The hydrodynamics of swimming microorganisms
• Statistical Mechanics of the Fluctuating Lattice Boltzmann Equation
• Inertial Coupling Method for particles in an incompressible fluctuating fluid
• Spatially Adaptive Stochastic Methods for Fluid-Structure Interactions Subject to Thermal Fluctuations in Domains with Complex Geometries

Cited by in corpus (10)

• Brownian Dynamics without Green's Functions
• Inertial Coupling Method for particles in an incompressible fluctuating fluid
• Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes
• The Stokes-Einstein Relation at Moderate Schmidt Number
• Coupling a nano-particle with isothermal fluctuating hydrodynamics: Coarse-graining from microscopic to mesoscopic dynamics
• Spatially Adaptive Stochastic Methods for Fluid-Structure Interactions Subject to Thermal Fluctuations in Domains with Complex Geometries
• Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion Dynamics of Particles and Microstructures within Curved Fluid Interfaces
• Hydrodynamic relaxations in dissipative particle dynamics
• Stochastic Discontinuous Galerkin Methods (SDGM) Based on Fluctuation-Dissipation Balance
• Projection Method for the Fluctuating Hydrodynamics Equations