718 research outputs found
Transport in a chain of asymmetric cavities: Effects of the concentration with hard-core interaction
We studied the transport process of overdamped Brownian particles, in a chain
of asymmetric cavities, interacting through a hard-core potential. When a force
is applied in opposite directions a difference in the drift velocity of the
particles inside the cavity can be observed. Previous works on similar systems
deal with the low concentration regime, in which the interaction is irrelevant.
In this case it was found that large particles show a stronger asymmetry in the
drift velocity when a small force is applied, allowing for the separation of
different size particles (Reguera et al., Phys. Rev. Lett 108, 020604, 2012).
We found that when the interaction between particles is considered, the
behavior of the system is substantially different. For example, as
concentration is increased, the small particles are the ones that show a
stronger asymmetry. For the case where all the particles in the system are of
the same size we took advantage of the particle-vacancy analogy to predict that
the left and right currents are almost equal in a region around the
concentration 0.5 despite the asymmetry of the cavity
Current of interacting particles inside a channel of exponential cavities: Application of a modified Fick--Jacobs equation
The Fick--Jacobs equation has been widely studied, because of its
applications in the diffusion and transport of non-interacting particles in
narrow channels. It is also known that a modified version of this equation can
be used to describe the same system with particles interacting through a
hard-core potential. In this work we present a system that can be exactly
solved using the Fick--Jacobs equation. The exact results of the particle
concentration profile along the channel , the current, , and the
mobility, , of particles as a function of an external force are contrasted
with Monte Carlo simulations results of non-interacting particles. For
interacting particles the behavior of , and , obtained from the
modified Fick--Jacobs equation are in agreement with numerical simulations,
where the hard-core interaction is taken into account. Even more, for
interacting particles the modified Fick--Jacobs equation gives comparatively
more accurate results of the current difference (when a force is applied in
opposite directions) than the exact result for the non-interacting ones
Transport with hard-core interaction in a chain of asymmetric cavities
In this paper we investigate the diffusion of particles inside a chain of
asymmetric cavities. We are considering particles that interact through a
hard--core potential and are driven by an external force. We show that the
difference in the current when the force is applied to the left and to the
right strongly depends on the concentration inside the cavity. We found that,
when the concentration is high enough, the hard--core interaction vanishes and
inverts the asymmetric effect of the cavity. We also introduce a new equation,
a modification to the Fick--Jacobs equation, to describe this system
analytically. Finally, we used numerical simulations to verify the analytic
results, finding a good agreement between theory and simulations.Comment: XXVI IUPAP Conference on Computational Physics, CCP2014 August 11-14,
2014, Boston, Massachusetts, US
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