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- B U Felderhof
- The journal of physical chemistry. B
- 2005

Brownian motion of a particle situated near a wall bounding the fluid in which it is immersed is affected by the wall. Specifically, it is assumed that an incompressible viscous fluid fills a half-space bounded by a plane wall and that the fluid flow satisfies stick boundary conditions at the wall. The fluctuation-dissipation theorem shows that the velocity… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2015

A mechanical model of swimming and flying in an incompressible viscous fluid in the absence of gravity is studied on the basis of assumed equations of motion. The system is modeled as an assembly of rigid spheres subject to elastic direct interactions and to periodic actuating forces which sum to zero. Hydrodynamic interactions are taken into account in the… (More)

- B U Felderhof
- The European physical journal. E, Soft matter
- 2014

A matrix formulation is derived for the calculation of the swimming speed and the power required for swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent. The spheres may have arbitrary radii and may interact with elastic forces. The analysis is based on the Stokes mobility matrix of the set of spheres, defined in low… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2012

The hydrodynamic force on a particle oscillating in a viscous fluid near a wall with partial-slip boundary condition is studied on the basis of the linearized Navier-Stokes equations. Both incompressible and compressible fluids are considered. It is assumed that the slip length characterizing the partial-slip boundary condition depends on frequency. The… (More)

- B U Felderhof
- The Journal of chemical physics
- 2012

The spectrum of position fluctuations of a Brownian particle bound in a harmonic trap near a plane wall is calculated from an approximate result for the Fourier transform of the velocity autocorrelation function. Both a no-slip and a perfect slip boundary condition at the wall are considered. In both cases at low frequency the calculated spectrum differs… (More)

- B U Felderhof, A Sellier
- The Journal of chemical physics
- 2012

The mobility matrix of a spherical particle moving in a spherical cavity, filled with a viscous incompressible fluid, and with no-slip boundary condition at the wall of the cavity, is evaluated from the Oseen tensor for the cavity by the method used by Lorentz for a particle near a planar wall. For the case that the particle is a rigid sphere with no-slip… (More)

- B U Felderhof
- The Journal of chemical physics
- 2009

In a one-dimensional suspension of Brownian particles, which cannot pass each other, the mean square displacement of a selected particle grows at long times with the square root of time, rather than linearly. It is shown that the coefficient of the square root, the so-called single-file mobility, can be derived from fluctuation theory, involving the… (More)

- B U Felderhof
- The Journal of chemical physics
- 2004

The semirelativistic hydrodynamic equations of motion of de Groot and Mazur [Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962)] for a fluid with polarization and magnetization are derived from the relativistic energy-momentum conservation equation, mass conservation, and Maxwell's equations on the basis of a systematic expansion in inverse… (More)

- B Cichocki, B U Felderhof
- The Journal of chemical physics
- 2009

The complete set of hydrodynamic friction coefficients for a spherical particle coated with a porous layer and immersed in a viscous fluid is evaluated in analytic form. The coefficients allow the calculation of the flow disturbance caused by the coated particle for any incident flow which satisfies the creeping flow equations. The coefficients may be used… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2014

Velocity relaxation of an elastic sphere immersed in a viscous incompressible fluid is studied on the basis of the equations of linear elasticity and the linearized Navier-Stokes equations. It is found that both translational motion after a sudden impulse and rotational motion after a sudden twist show jittery behavior in the long-time regime, with many… (More)