Is electronic stopping of ions velocity-proportional in the velocity-proportional regime?

Electronic Stopping of Heavy Ions in Solids

One of the most fruitful theories in the field of the electronic energy loss of heavy ions in solids is the concept of effective charge theory. The familiar results have hitherto been based on the restricted target model of the homogeneous electron gas. The major part of the target characterization is added in form of experimental proton data, using the ‘heavy ion scaling rule.’ On the other ha...

Velocity modulation spectroscopy of ions.

Annulus paradoxus: transmitral flow velocity to mitral annular velocity ratio is inversely proportional to pulmonary capillary wedge pressure in patients with constrictive pericarditis.

BACKGROUND The early diastolic velocity of the mitral annulus (E') is reduced in patients with diastolic dysfunction and increased filling pressures. Because transmitral inflow early velocity (E) increases progressively with higher filling pressures, E/E' has been shown to have a strong positive relationship with pulmonary capillary wedge pressure (PCWP) and left ventricular end-diastolic press...

(Damped Vibration of a String) In the presence of resistance proportional to velocity, the one-dimensional wave equation becomes

Proportional feedback control of chaos in a simple electronic oscillator

We demonstrate the control of chaos in a nonlinear circuit constructed from readily available electronic components. Control is achieved using recursive proportional feedback, which is applicable to chaotic dynamics in highly dissipative systems and can be implemented using experimental data in the absence of model equations. The application of recursive proportional feedback to a simple electr...