Abstract: We consider a system consisting of several correlated monoatomic layers sandwiched between two metallic leads. In addition to the local Hubbard interaction we also take the long-range Coulomb interaction into account, which causes electronic charge reconstruction in the correlated layers, as well as in the leads. The non-equilibrium situation is driven by applying a bias voltage to the leads. We investigate the steady-state behavior of the system for different parameters (bias voltage, interaction strength, hybridization strength between leads and the correlated...
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Seminars and workshops of department 23
Seminář / Tuesday, 17.04.2018 15:00
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Seminář / Monday, 16.04.2018 15:00
Abstract:
In this talk we shall survey recent research on inverse problems, developed by our group at IMPA's Laboratory for Analysis and Mathematical Modelling.
On the methodological side, we have developed non-intrusive resampling tools [1] as well as optimization techniques [2,3,4,5]. Such tools have proven very effective to tackle a number of relevant problems in Mathematical Physics, Finance, and Biology and are naturally extensible to other fields.
We shall then illustrate the method with an application to biophysical systems, with a case study of the uncertain...
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Seminář / Tuesday, 10.04.2018 15:00
Abstract: We investigate analytically a simple microfluidic device consisting of a tube with non-uniform but spatially periodic diameter (a contraction-expansion array). The fluid is driven back and forth by a pump and carries colloidal particles. Although the net flow of the fluid is zero, the particles move preferentially in one direction due to ratchet mechanism, which occurs by simultaneous effect of inertial hydrodynamics and Brownian motion. Analytical treatment of the underlying advection-diffusion problem is done using Fick-Jacobs mapping on effective one-dimensional...
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