1,821 research outputs found
A channel Brownian pump powered by an unbiased external force
A Brownian pump of particles in an asymmetric finite tube is investigated in
the presence of an unbiased external force. The pumping system is bounded by
two particle reservoirs. It is found that the particles can be pumped through
the tube from a reservoir at low concentration to one at the same or higher
concentration. There exists an optimized value of temperature (or the amplitude
of the external force) at which the pumping capacity takes its maximum value.
The pumping capacity decreases with increasing the radius at the bottleneck of
the tube.Comment: 14 pages, 9 figure
Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions
In this paper, we consider the boundary integral equation (BIE) method for
solving the exterior Neumann boundary value problems of elastic and
thermoelastic waves in three dimensions based on the Fredholm integral
equations of the first kind. The innovative contribution of this work lies in
the proposal of the new regularized formulations for the hyper-singular
boundary integral operators (BIO) associated with the time-harmonic elastic and
thermoelastic wave equations. With the help of the new regularized
formulations, we only need to compute the integrals with weak singularities at
most in the corresponding variational forms of the boundary integral equations.
The accuracy of the regularized formulations is demonstrated through numerical
examples using the Galerkin boundary element method (BEM).Comment: 24 pages, 6 figure
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