Motion by stopping: Rectifying Brownian motion of nonspherical particles

Motion by stopping: rectifying Brownian motion of nonspherical particles.

We show that Brownian motion is spatially not symmetric for mesoscopic particles embedded in a fluid if the particle is not in thermal equilibrium and its shape is not spherical. In view of applications to molecular motors in biological cells, we sustain nonequilibrium by stopping a nonspherical particle at periodic sites along a filament. Molecular dynamics simulations in a Lennard-Jones fluid...

Brownian Motion of Rotating Particles

A kinetic theory for the Brownian motion of spherical rotating particles is given starting from a generalized Fokker-Planck equation. The generalized Fokker-Planck collision operator is a sum of two ordinary Fokker-Planck differential operators in velocity and angular velocity space respectively plus a third term which provides a coupling of translational and rotational motions. This term stems...

Brownian motion-magnetophoresis of nano/micro-particles.

A new magnetophoresis method to determine the magnetic susceptibility of single nano/microparticles was developed by applying Brownian motion analysis to determine the size of the particle. This method could measure simultaneously both the magnetophoretic velocity and the radius of the identical single nano/microparticles, which are necessary for the determination of the magnetic susceptibility...

Motion of Particles under Pseudo-Deformation

In this short article, we observe that the path of particle of mass $m$ moving along $mathbf{r}= mathbf{r}(t)$ under pseudo-force $mathbf{A}(t)$, $t$ denotes the time, is given by $mathbf{r}_d= int(frac{dmathbf{r}}{dt} mathbf{A}(t)) dt +mathbf{c}$. We also observe that the effective force $mathbf{F}_e$ on that particle due to pseudo-force $mathbf{A}(t)$, is given by $ mathbf{F}_e= mathbf{F} mat...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion