Fluctuations of a long, semiflexible polymer in a narrow channel.

We consider an inextensible, semiflexible polymer or wormlike chain, with persistence length P and contour length L, fluctuating in a cylindrical channel of diameter D. In the regime D< occupied by the polymer and the mean-square deviation from the average vary as =[1-α(∘)(D/P)(2/3)]L and <ΔR(∥)(2)>=β(∘)(D(2)P)L , respectively, where α(∘) and β(∘) are dimensionless amplitudes. In earlier work we determined α(∘) and the analogous amplitude α(square) for a channel with a rectangular cross section from simulations of very long chains.

Free energy and extension of a semiflexible polymer in cylindrical confining geometries.

We consider a long, semiflexible polymer with persistence length P and contour length L fluctuating in a narrow cylindrical channel of diameter D. In the regime D< View Article and Find Full Text PDF

Equilibrium statistics of an inelastically bouncing ball, subject to gravity and a random force.

We consider a particle moving on the half line x > 0 and subject to a constant force in the -x direction plus a delta-correlated random force. At x = 0 the particle is reflected inelastically. The velocities just after and before the reflection satisfy v(f) = -r v(i), where r is the coefficient of restitution.

Randomly accelerated particle in a box: mean absorption time for partially absorbing and inelastic boundaries.

Consider a particle which is randomly accelerated by Gaussian white noise on the line segment 0 View Article and Find Full Text PDF

Equilibrium of a confined, randomly accelerated, inelastic particle: is there inelastic collapse?

We consider the one-dimensional motion of a particle randomly accelerated by Gaussian white noise on the line segment 0 View Article and Find Full Text PDF