Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Nuclear magnetic resonance (NMR) relaxation time provides valuable information about
properties of fluid and solid surfaces within rocks; however, the complexity of rock samples …

Nuclear magnetic resonance (NMR) relaxation time is an important petrophysical property
probing fluid dynamics within pores and providing valuable information to understand solid …

The dynamics of hard-core interacting Brownian particles in an external potential field is
studied in one dimension. Using the Jepsen line we find a very general and simple formula …

We study the diffusion of tagged hard-core interacting Brownian point particles under the
influence of an external force field in one dimension. Using the Jepsen line we map this …

We study a strongly interacting dense hard-sphere system confined between two parallel
plates by event-driven molecular dynamics simulations to address the fundamental question …

A dynamical model is proposed to study self-diffusion coefficient by confining the fluid in
rectangular nanotube. The theoretical model is based on the consideration that the …

We derive an analytical expression of the second virial coefficient of d-dimensional hard
sphere fluids confined to slit pores by applying Speedy and Reiss' interpretation of cavity …

M rest mass of the Brownian particle m rest mass of a heat bath particle Σ inertial laboratory
frame:= rest frame of the heat bath Σ′; Σ∗ moving frame; comoving rest frame of the …

With this work we study biased, diffusive transport of Brownian particles through narrow,
spatially periodic structures in which the motion is constrained in lateral directions. In such …