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Sextupole electromagnet as used within the storage ring of the Australian Synchrotron to focus and steer the electron beam. In accelerator physics strong focusing or alternating-gradient focusing is the principle that, using sets of multiple electromagnets, it is possible to make a particle beam simultaneously converge in both directions perpendicular to the direction of travel.
However, grows exponentially quickly with the dimension, meaning a poorly-chosen sequence can be much worse than Monte Carlo in high dimensions. In practice, it is almost always possible to select an appropriate low-discrepancy sequence, or apply an appropriate transformation to the integrand, to ensure that quasi-Monte Carlo performs at ...
The MCSGP process consists of several, at least two, chromatographic columns which are switched in position opposite to the flow direction. Most of the columns are equipped with a gradient pump to adjust the modifier concentration at the column inlet. Some columns are connected directly, so that non pure product streams are internally recycled.
Sisyphus cooling can be achieved by shining two counter-propagating laser beams with orthogonal polarization onto an atom sample. Atoms moving through the potential landscape along the direction of the standing wave lose kinetic energy as they move to a potential maximum, at which point optical pumping moves them back to a lower energy state, thus lowering the total energy of the atom.
The Alternating Gradient Synchrotron (AGS) is a particle accelerator located at the Brookhaven National Laboratory in Long Island, New York, United States. The Alternating Gradient Synchrotron was built on the innovative concept of the alternating gradient, or strong-focusing principle , developed by Brookhaven physicists.
The simplest definition for a potential gradient F in one dimension is the following: [1] = = where ϕ(x) is some type of scalar potential and x is displacement (not distance) in the x direction, the subscripts label two different positions x 1, x 2, and potentials at those points, ϕ 1 = ϕ(x 1), ϕ 2 = ϕ(x 2).
capillary osmosis, as motion of liquid in porous body under influence of the chemical potential gradient; sedimentation potential , as electric field generated by sedimenting colloid particles; streaming potential/current , as either electric potential or current generated by fluid moving through porous body, or relative to flat surface;
The surface tension gradient can be caused by concentration gradient or by a temperature gradient (surface tension is a function of temperature). In simple cases, the speed of the flow u ≈ Δ γ / μ {\displaystyle u\approx \Delta \gamma /\mu } , where Δ γ {\displaystyle \Delta \gamma } is the difference in surface tension and μ ...